Question

find the HCF of 414 and 506 and verify HCF*LCM =PRODUCT OF TWO NUMBERS

Answer 1

H.C.F= (414 , 506)
L.C.M= (414, 506)

H.C.F. × L.C.M = 414×506
46×4554 = 209484
209484 = 209484

THANKYOU

Answer 2

HCF by Euclid division algorithm
$506 = 414 \times 1 + 92 \\ 414 = 92 \times 4 + 46 \\ 92 = 46 \times 2 + 0$

so HCF IS 46.
WE know the formula
$414 \times 506 = 46 \times lcm \\ lcm = \frac{414 \times 506}{46} \\ lcm = 414 \times 11 = 4554$
on Multiplication of HCF and LCM we get that is equal to product of those numbers.