How to Find GCF of 1257/760, 4741/7912?

GCF of 1257/760, 4741/7912

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 1257/760, 4741/7912 i.e 1/751640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1257/760, 4741/7912.

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 1257/760,4741/7912?

Given fractions are 1257/760,4741/7912

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 1257/760,4741/7912, numerators are 1257,4741

Denominators are 760,7912

The GCF of 1257,4741 is 1 .

LCM of 760,7912 is 751640.

The greatest common factor of 1257/760,4741/7912 = [GCF of 1257,4741]/[LCM of 760,7912]= 1/751640

Therefore, the GCF of 1257/760,4741/7912 is 1/751640.

Greatest Common Factor of 1257,4741

To find the highest common factor of 1257,4741, we have to find the factors of both numbers and list the highest common factor.

The factors of 1257 are 1, 3, 419, 1257

The factors of 4741 are 1, 11, 431, 4741

The HCF of 1257,4741 is 1.

Lets's calculate GCF of 1257,4741

Greatest Common Factor (GCF) of 1257,4741 By Common Division

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

Greatest Common Factor of 1257,4741 By Matching Biggest Common Factor Method

Now, list down the factors of 1257

1,3,419,1257

Now, list down the factors of 4741

1,11,431,4741

Greatest Common Factor

We found the factors 1257,4741 . The biggest common factor number is the GCF number.
So the greatest common factor 1257,4741 is 1.

Lets's calculate LCM of 760,7912

Lowest Common Multiple of 760,7912 using Common Division

2	760, 7912
2	380, 3956
2	190, 1978
	95, 989

∴ So the LCM of the given numbers is 2 x 2 x 2 x 95 x 989 = 751640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/751640

Therefore, the GCF of Fractions 1257/760,4741/7912 is 1/751640

Least Common Multiple of 760,7912 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 760,7912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,7912) = 8

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

GCF(760,7912) x common factors =8 x 1 = 8

LCM(760,7912) = ( 760 × 7912 ) / 8

LCM(760,7912) = 6013120 / 8

LCM(760,7912) = 751640

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FAQs on GCF of Fractions of 1257/760, 4741/7912

1. What is the HCF of 1257,4741?

The HCF of 1257,4741 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 1257/760, 4741/7912?

Answer: GCF of Numerators as per given numbers 1257/760, 4741/7912 is

GCF of Numerators i.e. for 1257,4741 is 1

LCM of denominators i.e. for 760,7912 is 751640.

Thus, GCF of Fractions is 1/751640.Finally, GCF of Fractions for 1257/760, 4741/7912 is 1/751640.