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GCF of 54/744, 4967/7725

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 54/744, 4967/7725 i.e 1/1915800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 54/744, 4967/7725.

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 54/744,4967/7725?

Given fractions are 54/744,4967/7725

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 54/744,4967/7725, numerators are 54,4967

Denominators are 744,7725

The GCF of 54,4967 is 1 .

LCM of 744,7725 is 1915800.

The greatest common factor of 54/744,4967/7725 = [GCF of 54,4967]/[LCM of 744,7725]= 1/1915800

Therefore, the GCF of 54/744,4967/7725 is 1/1915800.

Greatest Common Factor of 54,4967

To find the highest common factor of 54,4967, we have to find the factors of both numbers and list the highest common factor.

The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54

The factors of 4967 are 1, 4967

The HCF of 54,4967 is 1.

Lets's calculate GCF of 54,4967

Greatest Common Factor (GCF) of 54,4967 By Common Division

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

Greatest Common Factor of 54,4967 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,4967 By Matching Biggest Common Factor Method

Now, list down the factors of 54

:

1,2,3,6,9,18,27,54

Now, list down the factors of 4967

:

1,4967

Greatest Common Factor

We found the factors 54,4967 . The biggest common factor number is the GCF number.
So the greatest common factor 54,4967 is 1.

Lets's calculate LCM of 744,7725

Lowest Common Multiple of 744,7725 using Common Division

3 744, 7725
248, 2575

∴ So the LCM of the given numbers is 3 x 248 x 2575 = 1915800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1915800

Therefore, the GCF of Fractions 54/744,4967/7725 is 1/1915800

Least Common Multiple of 744,7725 with GCF Formula

Least Common Multiple of 744,7725 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 744,7725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,7725) = 3

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

GCF(744,7725) x common factors =3 x 1 = 3

LCM(744,7725) = ( 744 × 7725 ) / 3

LCM(744,7725) = 5747400 / 3

LCM(744,7725) = 1915800


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FAQs on GCF of Fractions of 54/744, 4967/7725

1. What is the HCF of 54,4967?

The HCF of 54,4967 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 54/744, 4967/7725?

Answer: GCF of Numerators as per given numbers 54/744, 4967/7725 is

GCF of Numerators i.e. for 54,4967 is 1

LCM of denominators i.e. for 744,7725 is 1915800.

Thus, GCF of Fractions is 1/1915800.Finally, GCF of Fractions for 54/744, 4967/7725 is 1/1915800.