GCF of 9880/167, 8517/8608
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9880/167, 8517/8608 i.e 1/1437536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9880/167, 8517/8608.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 9880/167,8517/8608?
Given fractions are 9880/167,8517/8608
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 9880/167,8517/8608, numerators are 9880,8517
Denominators are 167,8608
The GCF of 9880,8517 is 1 .
LCM of 167,8608 is 1437536.
The greatest common factor of 9880/167,8517/8608 = [GCF of 9880,8517]/[LCM of 167,8608]= 1/1437536
Therefore, the GCF of 9880/167,8517/8608 is 1/1437536.
To find the highest common factor of 9880,8517, we have to find the factors of both numbers and list the highest common factor.
The factors of 9880 are 1, 2, 4, 5, 8, 10, 13, 19, 20, 26, 38, 40, 52, 65, 76, 95, 104, 130, 152, 190, 247, 260, 380, 494, 520, 760, 988, 1235, 1976, 2470, 4940, 9880
The factors of 8517 are 1, 3, 17, 51, 167, 501, 2839, 8517
The HCF of 9880,8517 is 1.
Lets's calculate GCF of 9880,8517
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9880,8517 By Matching Biggest Common Factor Method
Now, list down the factors of 9880
:1,2,4,5,8,10,13,19,20,26,38,40,52,65,76,95,104,130,152,190,247,260,380,494,520,760,988,1235,1976,2470,4940,9880
Now, list down the factors of 8517
:1,3,17,51,167,501,2839,8517
Greatest Common Factor
We found the factors 9880,8517 . The biggest common factor number is the GCF number.
So the greatest common factor 9880,8517 is 1.
Lets's calculate LCM of 167,8608
Given numbers has no common factors except 1. So, there LCM is their product i.e 1437536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1437536
Therefore, the GCF of Fractions 9880/167,8517/8608 is 1/1437536
Least Common Multiple of 167,8608 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 167,8608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(167,8608) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(167,8608) x common factors =1 x 1 = 1
LCM(167,8608) = ( 167 × 8608 ) / 1
LCM(167,8608) = 1437536 / 1
LCM(167,8608) = 1437536
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FAQs on GCF of Fractions of 9880/167, 8517/8608
1. What is the HCF of 9880,8517?
The HCF of 9880,8517 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 9880/167, 8517/8608?
Answer: GCF of Numerators as per given numbers 9880/167, 8517/8608 is
GCF of Numerators i.e. for 9880,8517 is 1
LCM of denominators i.e. for 167,8608 is 1437536.
Thus, GCF of Fractions is 1/1437536.Finally, GCF of Fractions for 9880/167, 8517/8608 is 1/1437536.