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GCF of 7421/940, 4839/652

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 7421/940, 4839/652 i.e 1/153220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7421/940, 4839/652.

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 7421/940,4839/652?

Given fractions are 7421/940,4839/652

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 7421/940,4839/652, numerators are 7421,4839

Denominators are 940,652

The GCF of 7421,4839 is 1 .

LCM of 940,652 is 153220.

The greatest common factor of 7421/940,4839/652 = [GCF of 7421,4839]/[LCM of 940,652]= 1/153220

Therefore, the GCF of 7421/940,4839/652 is 1/153220.

Greatest Common Factor of 7421,4839

To find the highest common factor of 7421,4839, we have to find the factors of both numbers and list the highest common factor.

The factors of 7421 are 1, 41, 181, 7421

The factors of 4839 are 1, 3, 1613, 4839

The HCF of 7421,4839 is 1.

Lets's calculate GCF of 7421,4839

Greatest Common Factor (GCF) of 7421,4839 By Common Division

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

Greatest Common Factor of 7421,4839 By Matching Biggest Common Factor Method

Greatest Common Factor of 7421,4839 By Matching Biggest Common Factor Method

Now, list down the factors of 7421

:

1,41,181,7421

Now, list down the factors of 4839

:

1,3,1613,4839

Greatest Common Factor

We found the factors 7421,4839 . The biggest common factor number is the GCF number.
So the greatest common factor 7421,4839 is 1.

Lets's calculate LCM of 940,652

Lowest Common Multiple of 940,652 using Common Division

2 940, 652
2 470, 326
235, 163

∴ So the LCM of the given numbers is 2 x 2 x 235 x 163 = 153220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/153220

Therefore, the GCF of Fractions 7421/940,4839/652 is 1/153220

Least Common Multiple of 940,652 with GCF Formula

Least Common Multiple of 940,652 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 940,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(940,652) = 4

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

GCF(940,652) x common factors =4 x 1 = 4

LCM(940,652) = ( 940 × 652 ) / 4

LCM(940,652) = 612880 / 4

LCM(940,652) = 153220


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FAQs on GCF of Fractions of 7421/940, 4839/652

1. What is the HCF of 7421,4839?

The HCF of 7421,4839 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 7421/940, 4839/652?

Answer: GCF of Numerators as per given numbers 7421/940, 4839/652 is

GCF of Numerators i.e. for 7421,4839 is 1

LCM of denominators i.e. for 940,652 is 153220.

Thus, GCF of Fractions is 1/153220.Finally, GCF of Fractions for 7421/940, 4839/652 is 1/153220.