What is the gcf of 378,132

1 answer:

3 0

First, find the prime factorization of both numbers.

378/2 = 189
189/3 = 63
63/3 = 21
21/3 = 7
7/7 1

378 = 2 * 3^3 * 7

132/2 = 66
66/2 = 33
33/3 = 11
11/11 = 1

132 = 2^2 * 3 * 11

For the GCF, choose the common factors with lower exponent.

378 = 2 * 3^3 * 7
132 = 2^2 * 3 * 11

From 2 and 2^2 choose 2.
From 3 and 3^2 choose 3.
7 and 11 are not common, so do not choose them.

GCF = 2 * 3 = 6

You might be interested in

The summer olympic occurs every 4 years. Every 6 years, a US senator runs for reelection. If both events occurred last year how

deff fn [24]

Answer:

12 years

Step-by-step explanation:

every 4 years, olympic occurs.

Every 6 years, senator reelection.

if last year was 2020

in 2024 olympic will occur

in 2026 the reelection will occur

in 2028 olympic will occur

in 2032 olympic and reelection will occur will occur

2032 - 2020 = 12

12 years is the answer

7 0

3 years ago

30 POINTS NO TRICKS JUST 30 POINTS FOR YOU!!!!!!

algol [13]

Quartile 1 is 211. quartile 2 is 226 , and quartile 3 is 265.5

3 0

3 years ago

Read 2 more answers

A town has a population of 1,000 people. The population triples every 100 years. Which equation and graph show the number of yea

photoshop1234 [79]

I believe you have to add the 1,000 and 100

3 0

3 years ago

Machine A produces bolts at a uniform rate of 120 every 40 seconds, and Machine B produces bolts at a uniform rate of 100 every

Nutka1998 [239]

Answer:

25 seconds

Step-by-step explanation:

Hi there!

In order to answer this question, first we need to know how many bolts per second are produced by each machine, this can be known by dividing the number of bolts by the time it takes.

For machine A:

$A = \frac{120 bolts}{40 s}= 3 \frac{bolts}{s}$