GCF of 3656/508, 2512/667
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3656/508, 2512/667 i.e 8/338836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3656/508, 2512/667.
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 3656/508,2512/667?
Given fractions are 3656/508,2512/667
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 3656/508,2512/667, numerators are 3656,2512
Denominators are 508,667
The GCF of 3656,2512 is 8 .
LCM of 508,667 is 338836.
The greatest common factor of 3656/508,2512/667 = [GCF of 3656,2512]/[LCM of 508,667]= 8/338836
Therefore, the GCF of 3656/508,2512/667 is 8/338836.
To find the highest common factor of 3656,2512, we have to find the factors of both numbers and list the highest common factor.
The factors of 3656 are 1, 2, 4, 8, 457, 914, 1828, 3656
The factors of 2512 are 1, 2, 4, 8, 16, 157, 314, 628, 1256, 2512
The HCF of 3656,2512 is 8.
Lets's calculate GCF of 3656,2512
| 2 | 3656, 2512 |
| 2 | 1828, 1256 |
| 2 | 914, 628 |
| 457, 314 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 3656,2512 By Matching Biggest Common Factor Method
Now, list down the factors of 3656
:1,2,4,8,457,914,1828,3656
Now, list down the factors of 2512
:1,2,4,8,16,157,314,628,1256,2512
Greatest Common Factor
We found the factors 3656,2512 . The biggest common factor number is the GCF number.
So the greatest common factor 3656,2512 is 8.
Lets's calculate LCM of 508,667
Given numbers has no common factors except 1. So, there LCM is their product i.e 338836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/338836
Therefore, the GCF of Fractions 3656/508,2512/667 is 8/338836
Least Common Multiple of 508,667 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 508,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(508,667) x common factors =1 x 1 = 1
LCM(508,667) = ( 508 × 667 ) / 1
LCM(508,667) = 338836 / 1
LCM(508,667) = 338836
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FAQs on GCF of Fractions of 3656/508, 2512/667
1. What is the HCF of 3656,2512?
The HCF of 3656,2512 is 8
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 3656/508, 2512/667?
Answer: GCF of Numerators as per given numbers 3656/508, 2512/667 is
GCF of Numerators i.e. for 3656,2512 is 8
LCM of denominators i.e. for 508,667 is 338836.
Thus, GCF of Fractions is 8/338836.Finally, GCF of Fractions for 3656/508, 2512/667 is 8/338836.