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GCF of 754/538, 3425/876

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 754/538, 3425/876 i.e 1/235644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 754/538, 3425/876.

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 754/538,3425/876?

Given fractions are 754/538,3425/876

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 754/538,3425/876, numerators are 754,3425

Denominators are 538,876

The GCF of 754,3425 is 1 .

LCM of 538,876 is 235644.

The greatest common factor of 754/538,3425/876 = [GCF of 754,3425]/[LCM of 538,876]= 1/235644

Therefore, the GCF of 754/538,3425/876 is 1/235644.

Greatest Common Factor of 754,3425

To find the highest common factor of 754,3425, we have to find the factors of both numbers and list the highest common factor.

The factors of 754 are 1, 2, 13, 26, 29, 58, 377, 754

The factors of 3425 are 1, 5, 25, 137, 685, 3425

The HCF of 754,3425 is 1.

Lets's calculate GCF of 754,3425

Greatest Common Factor (GCF) of 754,3425 By Common Division

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

Greatest Common Factor of 754,3425 By Matching Biggest Common Factor Method

Greatest Common Factor of 754,3425 By Matching Biggest Common Factor Method

Now, list down the factors of 754

:

1,2,13,26,29,58,377,754

Now, list down the factors of 3425

:

1,5,25,137,685,3425

Greatest Common Factor

We found the factors 754,3425 . The biggest common factor number is the GCF number.
So the greatest common factor 754,3425 is 1.

Lets's calculate LCM of 538,876

Lowest Common Multiple of 538,876 using Common Division

2 538, 876
269, 438

∴ So the LCM of the given numbers is 2 x 269 x 438 = 235644

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/235644

Therefore, the GCF of Fractions 754/538,3425/876 is 1/235644

Least Common Multiple of 538,876 with GCF Formula

Least Common Multiple of 538,876 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 538,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(538,876) = 2

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

GCF(538,876) x common factors =2 x 1 = 2

LCM(538,876) = ( 538 × 876 ) / 2

LCM(538,876) = 471288 / 2

LCM(538,876) = 235644


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FAQs on GCF of Fractions of 754/538, 3425/876

1. What is the HCF of 754,3425?

The HCF of 754,3425 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 754/538, 3425/876?

Answer: GCF of Numerators as per given numbers 754/538, 3425/876 is

GCF of Numerators i.e. for 754,3425 is 1

LCM of denominators i.e. for 538,876 is 235644.

Thus, GCF of Fractions is 1/235644.Finally, GCF of Fractions for 754/538, 3425/876 is 1/235644.