GCF of 6979/172, 3138/1114
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6979/172, 3138/1114 i.e 1/95804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6979/172, 3138/1114.
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 6979/172,3138/1114?
Given fractions are 6979/172,3138/1114
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 6979/172,3138/1114, numerators are 6979,3138
Denominators are 172,1114
The GCF of 6979,3138 is 1 .
LCM of 172,1114 is 95804.
The greatest common factor of 6979/172,3138/1114 = [GCF of 6979,3138]/[LCM of 172,1114]= 1/95804
Therefore, the GCF of 6979/172,3138/1114 is 1/95804.
To find the highest common factor of 6979,3138, we have to find the factors of both numbers and list the highest common factor.
The factors of 6979 are 1, 7, 997, 6979
The factors of 3138 are 1, 2, 3, 6, 523, 1046, 1569, 3138
The HCF of 6979,3138 is 1.
Lets's calculate GCF of 6979,3138
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6979,3138 By Matching Biggest Common Factor Method
Now, list down the factors of 6979
:1,7,997,6979
Now, list down the factors of 3138
:1,2,3,6,523,1046,1569,3138
Greatest Common Factor
We found the factors 6979,3138 . The biggest common factor number is the GCF number.
So the greatest common factor 6979,3138 is 1.
Lets's calculate LCM of 172,1114
| 2 | 172, 1114 |
| 86, 557 |
∴ So the LCM of the given numbers is 2 x 86 x 557 = 95804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/95804
Therefore, the GCF of Fractions 6979/172,3138/1114 is 1/95804
Least Common Multiple of 172,1114 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 172,1114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,1114) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(172,1114) x common factors =2 x 1 = 2
LCM(172,1114) = ( 172 × 1114 ) / 2
LCM(172,1114) = 191608 / 2
LCM(172,1114) = 95804
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FAQs on GCF of Fractions of 6979/172, 3138/1114
1. What is the HCF of 6979,3138?
The HCF of 6979,3138 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 6979/172, 3138/1114?
Answer: GCF of Numerators as per given numbers 6979/172, 3138/1114 is
GCF of Numerators i.e. for 6979,3138 is 1
LCM of denominators i.e. for 172,1114 is 95804.
Thus, GCF of Fractions is 1/95804.Finally, GCF of Fractions for 6979/172, 3138/1114 is 1/95804.