find the HCF of 2132 ,485 and 8520 by division method
Answers
Answer:
Explanation:
To find the HCF (a.k.a. GCF) of two positive integers you can proceed as follows:
Divide the larger number by the smaller to give a quotient and remainder.
If the remainder is
0
then the smaller number is the HCF.
Otherwise repeat with the smaller number and the remainder.
To find the HCF of more than two numbers, we can find the HCF of two of them and then the HCF of that HCF and the remaining numbers.
In our example, find the HCF of
213
and
2485
first:
2485
213
=
11
with remainder
142
213
142
=
1
with remainder
71
142
71
=
2
with remainder
0
So the HCF of
213
and
2485
is
71
Next find the HCF of
71
and
8520
:
8520
71
=
120
with remainder
0
So the HCF of
71
and
8520
is
71
, which is therefore also the HCF of
213
,
2485
and
8520