GCF of 6256/932, 6307/2677
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6256/932, 6307/2677 i.e 17/2494964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6256/932, 6307/2677.
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 6256/932,6307/2677?
Given fractions are 6256/932,6307/2677
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 6256/932,6307/2677, numerators are 6256,6307
Denominators are 932,2677
The GCF of 6256,6307 is 17 .
LCM of 932,2677 is 2494964.
The greatest common factor of 6256/932,6307/2677 = [GCF of 6256,6307]/[LCM of 932,2677]= 17/2494964
Therefore, the GCF of 6256/932,6307/2677 is 17/2494964.
To find the highest common factor of 6256,6307, we have to find the factors of both numbers and list the highest common factor.
The factors of 6256 are 1, 2, 4, 8, 16, 17, 23, 34, 46, 68, 92, 136, 184, 272, 368, 391, 782, 1564, 3128, 6256
The factors of 6307 are 1, 7, 17, 53, 119, 371, 901, 6307
The HCF of 6256,6307 is 17.
Lets's calculate GCF of 6256,6307
| 17 | 6256, 6307 |
| 368, 371 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 6256,6307 By Matching Biggest Common Factor Method
Now, list down the factors of 6256
:1,2,4,8,16,17,23,34,46,68,92,136,184,272,368,391,782,1564,3128,6256
Now, list down the factors of 6307
:1,7,17,53,119,371,901,6307
Greatest Common Factor
We found the factors 6256,6307 . The biggest common factor number is the GCF number.
So the greatest common factor 6256,6307 is 17.
Lets's calculate LCM of 932,2677
Given numbers has no common factors except 1. So, there LCM is their product i.e 2494964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/2494964
Therefore, the GCF of Fractions 6256/932,6307/2677 is 17/2494964
Least Common Multiple of 932,2677 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 932,2677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(932,2677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(932,2677) x common factors =1 x 1 = 1
LCM(932,2677) = ( 932 × 2677 ) / 1
LCM(932,2677) = 2494964 / 1
LCM(932,2677) = 2494964
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FAQs on GCF of Fractions of 6256/932, 6307/2677
1. What is the HCF of 6256,6307?
The HCF of 6256,6307 is 17
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 6256/932, 6307/2677?
Answer: GCF of Numerators as per given numbers 6256/932, 6307/2677 is
GCF of Numerators i.e. for 6256,6307 is 17
LCM of denominators i.e. for 932,2677 is 2494964.
Thus, GCF of Fractions is 17/2494964.Finally, GCF of Fractions for 6256/932, 6307/2677 is 17/2494964.