GCF of 7712/596, 6137/4288
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7712/596, 6137/4288 i.e 1/638912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7712/596, 6137/4288.
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 7712/596,6137/4288?
Given fractions are 7712/596,6137/4288
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 7712/596,6137/4288, numerators are 7712,6137
Denominators are 596,4288
The GCF of 7712,6137 is 1 .
LCM of 596,4288 is 638912.
The greatest common factor of 7712/596,6137/4288 = [GCF of 7712,6137]/[LCM of 596,4288]= 1/638912
Therefore, the GCF of 7712/596,6137/4288 is 1/638912.
To find the highest common factor of 7712,6137, we have to find the factors of both numbers and list the highest common factor.
The factors of 7712 are 1, 2, 4, 8, 16, 32, 241, 482, 964, 1928, 3856, 7712
The factors of 6137 are 1, 17, 19, 323, 361, 6137
The HCF of 7712,6137 is 1.
Lets's calculate GCF of 7712,6137
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7712,6137 By Matching Biggest Common Factor Method
Now, list down the factors of 7712
:1,2,4,8,16,32,241,482,964,1928,3856,7712
Now, list down the factors of 6137
:1,17,19,323,361,6137
Greatest Common Factor
We found the factors 7712,6137 . The biggest common factor number is the GCF number.
So the greatest common factor 7712,6137 is 1.
Lets's calculate LCM of 596,4288
| 2 | 596, 4288 |
| 2 | 298, 2144 |
| 149, 1072 |
∴ So the LCM of the given numbers is 2 x 2 x 149 x 1072 = 638912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/638912
Therefore, the GCF of Fractions 7712/596,6137/4288 is 1/638912
Least Common Multiple of 596,4288 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 596,4288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,4288) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(596,4288) x common factors =4 x 1 = 4
LCM(596,4288) = ( 596 × 4288 ) / 4
LCM(596,4288) = 2555648 / 4
LCM(596,4288) = 638912
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FAQs on GCF of Fractions of 7712/596, 6137/4288
1. What is the HCF of 7712,6137?
The HCF of 7712,6137 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 7712/596, 6137/4288?
Answer: GCF of Numerators as per given numbers 7712/596, 6137/4288 is
GCF of Numerators i.e. for 7712,6137 is 1
LCM of denominators i.e. for 596,4288 is 638912.
Thus, GCF of Fractions is 1/638912.Finally, GCF of Fractions for 7712/596, 6137/4288 is 1/638912.