The HCF of two numbers is 15 while HCF of another set of two numbers is 45. What will the HCF of all the four numbers taken together?
Correct Answer : c ) 15Explanation :
HCF remains the same if we calculate HCF for N numbers collectively, or breaking N numbers into parts and then calculating HCF first for the parts and after then calculating collective HCF using the HCFs obtained.
Thus, HCF of four numbers together will be equal to HCF of the HCFs of the first two numbers and the second two numbers.
HCF combined = HCF (15, 45)
HCF combined = 15
Hence, C is the correct answer.
Such type of question is asked in SSC CGL, SSC MTS, SSC CPO, SSC CHSL, RRB JE, RRB NTPC, RRB GROUP D, RRB OFFICER SCALE-I, IBPS PO, IBPS SO, RRB Office Assistant, IBPS Clerk, etc.
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