GCF of 2938/513, 8756/7737
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2938/513, 8756/7737 i.e 2/1323027 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2938/513, 8756/7737.
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 2938/513,8756/7737?
Given fractions are 2938/513,8756/7737
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 2938/513,8756/7737, numerators are 2938,8756
Denominators are 513,7737
The GCF of 2938,8756 is 2 .
LCM of 513,7737 is 1323027.
The greatest common factor of 2938/513,8756/7737 = [GCF of 2938,8756]/[LCM of 513,7737]= 2/1323027
Therefore, the GCF of 2938/513,8756/7737 is 2/1323027.
To find the highest common factor of 2938,8756, we have to find the factors of both numbers and list the highest common factor.
The factors of 2938 are 1, 2, 13, 26, 113, 226, 1469, 2938
The factors of 8756 are 1, 2, 4, 11, 22, 44, 199, 398, 796, 2189, 4378, 8756
The HCF of 2938,8756 is 2.
Lets's calculate GCF of 2938,8756
| 2 | 2938, 8756 |
| 1469, 4378 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2938,8756 By Matching Biggest Common Factor Method
Now, list down the factors of 2938
:1,2,13,26,113,226,1469,2938
Now, list down the factors of 8756
:1,2,4,11,22,44,199,398,796,2189,4378,8756
Greatest Common Factor
We found the factors 2938,8756 . The biggest common factor number is the GCF number.
So the greatest common factor 2938,8756 is 2.
Lets's calculate LCM of 513,7737
| 3 | 513, 7737 |
| 171, 2579 |
∴ So the LCM of the given numbers is 3 x 171 x 2579 = 1323027
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1323027
Therefore, the GCF of Fractions 2938/513,8756/7737 is 2/1323027
Least Common Multiple of 513,7737 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 513,7737 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,7737) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(513,7737) x common factors =3 x 1 = 3
LCM(513,7737) = ( 513 × 7737 ) / 3
LCM(513,7737) = 3969081 / 3
LCM(513,7737) = 1323027
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FAQs on GCF of Fractions of 2938/513, 8756/7737
1. What is the HCF of 2938,8756?
The HCF of 2938,8756 is 2
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 2938/513, 8756/7737?
Answer: GCF of Numerators as per given numbers 2938/513, 8756/7737 is
GCF of Numerators i.e. for 2938,8756 is 2
LCM of denominators i.e. for 513,7737 is 1323027.
Thus, GCF of Fractions is 2/1323027.Finally, GCF of Fractions for 2938/513, 8756/7737 is 2/1323027.