GCF of 6256/642, 2714/796
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6256/642, 2714/796 i.e 46/255516 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6256/642, 2714/796.
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 6256/642,2714/796?
Given fractions are 6256/642,2714/796
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 6256/642,2714/796, numerators are 6256,2714
Denominators are 642,796
The GCF of 6256,2714 is 46 .
LCM of 642,796 is 255516.
The greatest common factor of 6256/642,2714/796 = [GCF of 6256,2714]/[LCM of 642,796]= 46/255516
Therefore, the GCF of 6256/642,2714/796 is 46/255516.
To find the highest common factor of 6256,2714, 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 2714 are 1, 2, 23, 46, 59, 118, 1357, 2714
The HCF of 6256,2714 is 46.
Lets's calculate GCF of 6256,2714
| 2 | 6256, 2714 |
| 23 | 3128, 1357 |
| 136, 59 |
∴ So the GCF of the given numbers is 2 x 23 = 46
Greatest Common Factor of 6256,2714 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 2714
:1,2,23,46,59,118,1357,2714
Greatest Common Factor
We found the factors 6256,2714 . The biggest common factor number is the GCF number.
So the greatest common factor 6256,2714 is 46.
Lets's calculate LCM of 642,796
| 2 | 642, 796 |
| 321, 398 |
∴ So the LCM of the given numbers is 2 x 321 x 398 = 255516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/255516
Therefore, the GCF of Fractions 6256/642,2714/796 is 46/255516
Least Common Multiple of 642,796 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 642,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,796) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(642,796) x common factors =2 x 1 = 2
LCM(642,796) = ( 642 × 796 ) / 2
LCM(642,796) = 511032 / 2
LCM(642,796) = 255516
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FAQs on GCF of Fractions of 6256/642, 2714/796
1. What is the HCF of 6256,2714?
The HCF of 6256,2714 is 46
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 6256/642, 2714/796?
Answer: GCF of Numerators as per given numbers 6256/642, 2714/796 is
GCF of Numerators i.e. for 6256,2714 is 46
LCM of denominators i.e. for 642,796 is 255516.
Thus, GCF of Fractions is 46/255516.Finally, GCF of Fractions for 6256/642, 2714/796 is 46/255516.