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GCF of 4957/648, 2149/1755

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 4957/648, 2149/1755 i.e 1/42120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4957/648, 2149/1755.

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 4957/648,2149/1755?

Given fractions are 4957/648,2149/1755

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 4957/648,2149/1755, numerators are 4957,2149

Denominators are 648,1755

The GCF of 4957,2149 is 1 .

LCM of 648,1755 is 42120.

The greatest common factor of 4957/648,2149/1755 = [GCF of 4957,2149]/[LCM of 648,1755]= 1/42120

Therefore, the GCF of 4957/648,2149/1755 is 1/42120.

Greatest Common Factor of 4957,2149

To find the highest common factor of 4957,2149, we have to find the factors of both numbers and list the highest common factor.

The factors of 4957 are 1, 4957

The factors of 2149 are 1, 7, 307, 2149

The HCF of 4957,2149 is 1.

Lets's calculate GCF of 4957,2149

Greatest Common Factor (GCF) of 4957,2149 By Common Division

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

Greatest Common Factor of 4957,2149 By Matching Biggest Common Factor Method

Greatest Common Factor of 4957,2149 By Matching Biggest Common Factor Method

Now, list down the factors of 4957

:

1,4957

Now, list down the factors of 2149

:

1,7,307,2149

Greatest Common Factor

We found the factors 4957,2149 . The biggest common factor number is the GCF number.
So the greatest common factor 4957,2149 is 1.

Lets's calculate LCM of 648,1755

Lowest Common Multiple of 648,1755 using Common Division

3 648, 1755
3 216, 585
3 72, 195
24, 65

∴ So the LCM of the given numbers is 3 x 3 x 3 x 24 x 65 = 42120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42120

Therefore, the GCF of Fractions 4957/648,2149/1755 is 1/42120

Least Common Multiple of 648,1755 with GCF Formula

Least Common Multiple of 648,1755 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 648,1755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,1755) = 27

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

GCF(648,1755) x common factors =27 x 1 = 27

LCM(648,1755) = ( 648 × 1755 ) / 27

LCM(648,1755) = 1137240 / 27

LCM(648,1755) = 42120


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4957/648, 2149/1755

1. What is the HCF of 4957,2149?

The HCF of 4957,2149 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 4957/648, 2149/1755?

Answer: GCF of Numerators as per given numbers 4957/648, 2149/1755 is

GCF of Numerators i.e. for 4957,2149 is 1

LCM of denominators i.e. for 648,1755 is 42120.

Thus, GCF of Fractions is 1/42120.Finally, GCF of Fractions for 4957/648, 2149/1755 is 1/42120.