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GCF of 907/256, 5157/699

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 907/256, 5157/699 i.e 1/178944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 907/256, 5157/699.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 907/256,5157/699?

Given fractions are 907/256,5157/699

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 907/256,5157/699, numerators are 907,5157

Denominators are 256,699

The GCF of 907,5157 is 1 .

LCM of 256,699 is 178944.

The greatest common factor of 907/256,5157/699 = [GCF of 907,5157]/[LCM of 256,699]= 1/178944

Therefore, the GCF of 907/256,5157/699 is 1/178944.

Greatest Common Factor of 907,5157

To find the highest common factor of 907,5157, we have to find the factors of both numbers and list the highest common factor.

The factors of 907 are 1, 907

The factors of 5157 are 1, 3, 9, 27, 191, 573, 1719, 5157

The HCF of 907,5157 is 1.

Lets's calculate GCF of 907,5157

Greatest Common Factor (GCF) of 907,5157 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 907,5157 By Matching Biggest Common Factor Method

Greatest Common Factor of 907,5157 By Matching Biggest Common Factor Method

Now, list down the factors of 907

:

1,907

Now, list down the factors of 5157

:

1,3,9,27,191,573,1719,5157

Greatest Common Factor

We found the factors 907,5157 . The biggest common factor number is the GCF number.
So the greatest common factor 907,5157 is 1.

Lets's calculate LCM of 256,699

Lowest Common Multiple of 256,699 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 178944

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/178944

Therefore, the GCF of Fractions 907/256,5157/699 is 1/178944

Least Common Multiple of 256,699 with GCF Formula

Least Common Multiple of 256,699 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 256,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(256,699) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(256,699) x common factors =1 x 1 = 1

LCM(256,699) = ( 256 × 699 ) / 1

LCM(256,699) = 178944 / 1

LCM(256,699) = 178944


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FAQs on GCF of Fractions of 907/256, 5157/699

1. What is the HCF of 907,5157?

The HCF of 907,5157 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 907/256, 5157/699?

Answer: GCF of Numerators as per given numbers 907/256, 5157/699 is

GCF of Numerators i.e. for 907,5157 is 1

LCM of denominators i.e. for 256,699 is 178944.

Thus, GCF of Fractions is 1/178944.Finally, GCF of Fractions for 907/256, 5157/699 is 1/178944.