GCF of 6874/138, 7756/937
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6874/138, 7756/937 i.e 14/129306 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6874/138, 7756/937.
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 6874/138,7756/937?
Given fractions are 6874/138,7756/937
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 6874/138,7756/937, numerators are 6874,7756
Denominators are 138,937
The GCF of 6874,7756 is 14 .
LCM of 138,937 is 129306.
The greatest common factor of 6874/138,7756/937 = [GCF of 6874,7756]/[LCM of 138,937]= 14/129306
Therefore, the GCF of 6874/138,7756/937 is 14/129306.
To find the highest common factor of 6874,7756, we have to find the factors of both numbers and list the highest common factor.
The factors of 6874 are 1, 2, 7, 14, 491, 982, 3437, 6874
The factors of 7756 are 1, 2, 4, 7, 14, 28, 277, 554, 1108, 1939, 3878, 7756
The HCF of 6874,7756 is 14.
Lets's calculate GCF of 6874,7756
| 2 | 6874, 7756 |
| 7 | 3437, 3878 |
| 491, 554 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 6874,7756 By Matching Biggest Common Factor Method
Now, list down the factors of 6874
:1,2,7,14,491,982,3437,6874
Now, list down the factors of 7756
:1,2,4,7,14,28,277,554,1108,1939,3878,7756
Greatest Common Factor
We found the factors 6874,7756 . The biggest common factor number is the GCF number.
So the greatest common factor 6874,7756 is 14.
Lets's calculate LCM of 138,937
Given numbers has no common factors except 1. So, there LCM is their product i.e 129306
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/129306
Therefore, the GCF of Fractions 6874/138,7756/937 is 14/129306
Least Common Multiple of 138,937 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 138,937 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,937) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(138,937) x common factors =1 x 1 = 1
LCM(138,937) = ( 138 × 937 ) / 1
LCM(138,937) = 129306 / 1
LCM(138,937) = 129306
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FAQs on GCF of Fractions of 6874/138, 7756/937
1. What is the HCF of 6874,7756?
The HCF of 6874,7756 is 14
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 6874/138, 7756/937?
Answer: GCF of Numerators as per given numbers 6874/138, 7756/937 is
GCF of Numerators i.e. for 6874,7756 is 14
LCM of denominators i.e. for 138,937 is 129306.
Thus, GCF of Fractions is 14/129306.Finally, GCF of Fractions for 6874/138, 7756/937 is 14/129306.