If A is the HCF of 546, 294, 3066 and B is the LCM of 42, 14 and 21, what is the relation between A and B?
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A=HCF (546,294,3066)
B=LCM (42,14,21)
for A
546=2 x 3 x 7 x 13
294= 2 x 3 x7 x 7
3066=2 x 3 x7 x 73
common factor=2 x 3 x 7=42
so, HCF=42
hence A=42
now for B
42=2 x 3 x 7
14=2 x 7
21=3 x 7
LCM=42
hence B=42
relation between A and B is
A=B=42
A=B
B=LCM (42,14,21)
for A
546=2 x 3 x 7 x 13
294= 2 x 3 x7 x 7
3066=2 x 3 x7 x 73
common factor=2 x 3 x 7=42
so, HCF=42
hence A=42
now for B
42=2 x 3 x 7
14=2 x 7
21=3 x 7
LCM=42
hence B=42
relation between A and B is
A=B=42
A=B
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