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GCF of 20/286, 4076/7304

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 20/286, 4076/7304 i.e 4/94952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/286, 4076/7304.

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 20/286,4076/7304?

Given fractions are 20/286,4076/7304

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 20/286,4076/7304, numerators are 20,4076

Denominators are 286,7304

The GCF of 20,4076 is 4 .

LCM of 286,7304 is 94952.

The greatest common factor of 20/286,4076/7304 = [GCF of 20,4076]/[LCM of 286,7304]= 4/94952

Therefore, the GCF of 20/286,4076/7304 is 4/94952.

Greatest Common Factor of 20,4076

To find the highest common factor of 20,4076, we have to find the factors of both numbers and list the highest common factor.

The factors of 20 are 1, 2, 4, 5, 10, 20

The factors of 4076 are 1, 2, 4, 1019, 2038, 4076

The HCF of 20,4076 is 4.

Lets's calculate GCF of 20,4076

Greatest Common Factor (GCF) of 20,4076 By Common Division

2 20, 4076
2 10, 2038
5, 1019

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 20,4076 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,4076 By Matching Biggest Common Factor Method

Now, list down the factors of 20

:

1,2,4,5,10,20

Now, list down the factors of 4076

:

1,2,4,1019,2038,4076

Greatest Common Factor

We found the factors 20,4076 . The biggest common factor number is the GCF number.
So the greatest common factor 20,4076 is 4.

Lets's calculate LCM of 286,7304

Lowest Common Multiple of 286,7304 using Common Division

2 286, 7304
11 143, 3652
13, 332

∴ So the LCM of the given numbers is 2 x 11 x 13 x 332 = 94952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/94952

Therefore, the GCF of Fractions 20/286,4076/7304 is 4/94952

Least Common Multiple of 286,7304 with GCF Formula

Least Common Multiple of 286,7304 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 286,7304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(286,7304) = 22

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

GCF(286,7304) x common factors =22 x 1 = 22

LCM(286,7304) = ( 286 × 7304 ) / 22

LCM(286,7304) = 2088944 / 22

LCM(286,7304) = 94952


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FAQs on GCF of Fractions of 20/286, 4076/7304

1. What is the HCF of 20,4076?

The HCF of 20,4076 is 4

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 20/286, 4076/7304?

Answer: GCF of Numerators as per given numbers 20/286, 4076/7304 is

GCF of Numerators i.e. for 20,4076 is 4

LCM of denominators i.e. for 286,7304 is 94952.

Thus, GCF of Fractions is 4/94952.Finally, GCF of Fractions for 20/286, 4076/7304 is 4/94952.