GCF of 9889/302, 7502/116
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9889/302, 7502/116 i.e 341/17516 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9889/302, 7502/116.
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 9889/302,7502/116?
Given fractions are 9889/302,7502/116
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 9889/302,7502/116, numerators are 9889,7502
Denominators are 302,116
The GCF of 9889,7502 is 341 .
LCM of 302,116 is 17516.
The greatest common factor of 9889/302,7502/116 = [GCF of 9889,7502]/[LCM of 302,116]= 341/17516
Therefore, the GCF of 9889/302,7502/116 is 341/17516.
To find the highest common factor of 9889,7502, we have to find the factors of both numbers and list the highest common factor.
The factors of 9889 are 1, 11, 29, 31, 319, 341, 899, 9889
The factors of 7502 are 1, 2, 11, 22, 31, 62, 121, 242, 341, 682, 3751, 7502
The HCF of 9889,7502 is 341.
Lets's calculate GCF of 9889,7502
| 11 | 9889, 7502 |
| 31 | 899, 682 |
| 29, 22 |
∴ So the GCF of the given numbers is 11 x 31 = 341
Greatest Common Factor of 9889,7502 By Matching Biggest Common Factor Method
Now, list down the factors of 9889
:1,11,29,31,319,341,899,9889
Now, list down the factors of 7502
:1,2,11,22,31,62,121,242,341,682,3751,7502
Greatest Common Factor
We found the factors 9889,7502 . The biggest common factor number is the GCF number.
So the greatest common factor 9889,7502 is 341.
Lets's calculate LCM of 302,116
| 2 | 302, 116 |
| 151, 58 |
∴ So the LCM of the given numbers is 2 x 151 x 58 = 17516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 341/17516
Therefore, the GCF of Fractions 9889/302,7502/116 is 341/17516
Least Common Multiple of 302,116 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 302,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,116) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(302,116) x common factors =2 x 1 = 2
LCM(302,116) = ( 302 × 116 ) / 2
LCM(302,116) = 35032 / 2
LCM(302,116) = 17516
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FAQs on GCF of Fractions of 9889/302, 7502/116
1. What is the HCF of 9889,7502?
The HCF of 9889,7502 is 341
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 9889/302, 7502/116?
Answer: GCF of Numerators as per given numbers 9889/302, 7502/116 is
GCF of Numerators i.e. for 9889,7502 is 341
LCM of denominators i.e. for 302,116 is 17516.
Thus, GCF of Fractions is 341/17516.Finally, GCF of Fractions for 9889/302, 7502/116 is 341/17516.