GCF of 508/596, 137/204, 704/916
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 508/596, 137/204, 704/916 i.e 1/6960684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 508/596, 137/204, 704/916.
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 508/596,137/204,704/916?
Given fractions are 508/596,137/204,704/916
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 508/596,137/204,704/916, numerators are 508,137,704
Denominators are 596,204,916
The GCF of 508,137,704 is 1 .
LCM of 596,204,916 is 6960684.
The greatest common factor of 508/596,137/204,704/916 = [GCF of 508,137,704]/[LCM of 596,204,916]= 1/6960684
Therefore, the GCF of 508/596,137/204,704/916 is 1/6960684.
To find the highest common factor of 508,137,704, we have to find the factors of both numbers and list the highest common factor.
The factors of 508 are 1, 2, 4, 127, 254, 508
The factors of 137 are 1, 137
The factors of 704 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
The HCF of 508,137,704 is 1.
Lets's calculate GCF of 508,137,704
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 508,137,704 By Matching Biggest Common Factor Method
Now, list down the factors of 508
:1,2,4,127,254,508
Now, list down the factors of 137
:1,137
Now, list down the factors of 704
:1,2,4,8,11,16,22,32,44,64,88,176,352,704
Greatest Common Factor
We found the factors 508,137,704 . The biggest common factor number is the GCF number.
So the greatest common factor 508,137,704 is 1.
Lets's calculate LCM of 596,204,916
| 2 | 596, 204, 916 |
| 2 | 298, 102, 458 |
| 149, 51, 229 |
∴ So the LCM of the given numbers is 2 x 2 x 149 x 51 x 229 = 6960684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6960684
Therefore, the GCF of Fractions 508/596,137/204,704/916 is 1/6960684
Least Common Multiple of 596,204,916 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 596,204,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,204,916) = 4
common factors(in case of two or more numbers have common factors) = 4
GCF(596,204,916) x common factors =4 x 4 = 16
LCM(596,204,916) = ( 596 × 204 × 916 ) / 16
LCM(596,204,916) = 111370944 / 16
LCM(596,204,916) = 6960684
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FAQs on GCF of Fractions of 508/596, 137/204, 704/916
1. What is the HCF of 508,137,704?
The HCF of 508,137,704 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 508/596, 137/204, 704/916?
Answer: GCF of Numerators as per given numbers 508/596, 137/204, 704/916 is
GCF of Numerators i.e. for 508,137,704 is 1
LCM of denominators i.e. for 596,204,916 is 6960684.
Thus, GCF of Fractions is 1/6960684.Finally, GCF of Fractions for 508/596, 137/204, 704/916 is 1/6960684.