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GCF of 2347/938, 4927/9476

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 2347/938, 4927/9476 i.e 1/4444244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2347/938, 4927/9476.

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 2347/938,4927/9476?

Given fractions are 2347/938,4927/9476

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 2347/938,4927/9476, numerators are 2347,4927

Denominators are 938,9476

The GCF of 2347,4927 is 1 .

LCM of 938,9476 is 4444244.

The greatest common factor of 2347/938,4927/9476 = [GCF of 2347,4927]/[LCM of 938,9476]= 1/4444244

Therefore, the GCF of 2347/938,4927/9476 is 1/4444244.

Greatest Common Factor of 2347,4927

To find the highest common factor of 2347,4927, we have to find the factors of both numbers and list the highest common factor.

The factors of 2347 are 1, 2347

The factors of 4927 are 1, 13, 379, 4927

The HCF of 2347,4927 is 1.

Lets's calculate GCF of 2347,4927

Greatest Common Factor (GCF) of 2347,4927 By Common Division

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

Greatest Common Factor of 2347,4927 By Matching Biggest Common Factor Method

Greatest Common Factor of 2347,4927 By Matching Biggest Common Factor Method

Now, list down the factors of 2347

:

1,2347

Now, list down the factors of 4927

:

1,13,379,4927

Greatest Common Factor

We found the factors 2347,4927 . The biggest common factor number is the GCF number.
So the greatest common factor 2347,4927 is 1.

Lets's calculate LCM of 938,9476

Lowest Common Multiple of 938,9476 using Common Division

2 938, 9476
469, 4738

∴ So the LCM of the given numbers is 2 x 469 x 4738 = 4444244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4444244

Therefore, the GCF of Fractions 2347/938,4927/9476 is 1/4444244

Least Common Multiple of 938,9476 with GCF Formula

Least Common Multiple of 938,9476 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 938,9476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,9476) = 2

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

GCF(938,9476) x common factors =2 x 1 = 2

LCM(938,9476) = ( 938 × 9476 ) / 2

LCM(938,9476) = 8888488 / 2

LCM(938,9476) = 4444244


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2347/938, 4927/9476

1. What is the HCF of 2347,4927?

The HCF of 2347,4927 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 2347/938, 4927/9476?

Answer: GCF of Numerators as per given numbers 2347/938, 4927/9476 is

GCF of Numerators i.e. for 2347,4927 is 1

LCM of denominators i.e. for 938,9476 is 4444244.

Thus, GCF of Fractions is 1/4444244.Finally, GCF of Fractions for 2347/938, 4927/9476 is 1/4444244.