Answer:
HCF=4
LCM=10080
HCF x LCM = Product of the two given numbers is verified because 403200=40320
Step-by-step explanation:
HCF of 160 and 252
HCF is the product of common prime factors
Prime Factorisation of 160: 2x2x2x2x2x5
Prime Factorisation of 252: 2x23x3x7
HCF= 2x2
HCF=4
40 and 63 doesn't come in any other table together so,
HCF= 2 x 2 = 4
Now, finding LCM of 160 and 252
LCM is the product of all factors of both numbers, while if any factor is common, it is considered once.
Prime Factorisation of 160: 2x2x2x2x2x5
Prime Factorisation of 252: 2x23x3x7
In the given factors 2x2 is common so, it is considered once.
LCM= 2x2x2x2x2x3x5x7
LCM= 10080
Now, checking:
HCF x LCM = Product of the two given numbers.
4x10080=160x252
403200=40320
So, It is verified that HCF x LCM = Product of the two given numbers.
