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GCF of 5103/976, 4211/657

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 5103/976, 4211/657 i.e 1/641232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5103/976, 4211/657.

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 5103/976,4211/657?

Given fractions are 5103/976,4211/657

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 5103/976,4211/657, numerators are 5103,4211

Denominators are 976,657

The GCF of 5103,4211 is 1 .

LCM of 976,657 is 641232.

The greatest common factor of 5103/976,4211/657 = [GCF of 5103,4211]/[LCM of 976,657]= 1/641232

Therefore, the GCF of 5103/976,4211/657 is 1/641232.

Greatest Common Factor of 5103,4211

To find the highest common factor of 5103,4211, we have to find the factors of both numbers and list the highest common factor.

The factors of 5103 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 243, 567, 729, 1701, 5103

The factors of 4211 are 1, 4211

The HCF of 5103,4211 is 1.

Lets's calculate GCF of 5103,4211

Greatest Common Factor (GCF) of 5103,4211 By Common Division

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

Greatest Common Factor of 5103,4211 By Matching Biggest Common Factor Method

Greatest Common Factor of 5103,4211 By Matching Biggest Common Factor Method

Now, list down the factors of 5103

:

1,3,7,9,21,27,63,81,189,243,567,729,1701,5103

Now, list down the factors of 4211

:

1,4211

Greatest Common Factor

We found the factors 5103,4211 . The biggest common factor number is the GCF number.
So the greatest common factor 5103,4211 is 1.


Lets's calculate LCM of 976,657

Lowest Common Multiple of 976,657 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 641232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/641232

Therefore, the GCF of Fractions 5103/976,4211/657 is 1/641232

Least Common Multiple of 976,657 with GCF Formula

Least Common Multiple of 976,657 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 976,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,657) = 1

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

GCF(976,657) x common factors =1 x 1 = 1

LCM(976,657) = ( 976 × 657 ) / 1

LCM(976,657) = 641232 / 1

LCM(976,657) = 641232


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 5103/976, 4211/657

1. What is the HCF of 5103,4211?

The HCF of 5103,4211 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 5103/976, 4211/657?

Answer: GCF of Numerators as per given numbers 5103/976, 4211/657 is

GCF of Numerators i.e. for 5103,4211 is 1

LCM of denominators i.e. for 976,657 is 641232.

Thus, GCF of Fractions is 1/641232.Finally, GCF of Fractions for 5103/976, 4211/657 is 1/641232.