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GCF of 294/724, 4939/208

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 294/724, 4939/208 i.e 1/37648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 294/724, 4939/208.

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 294/724,4939/208?

Given fractions are 294/724,4939/208

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 294/724,4939/208, numerators are 294,4939

Denominators are 724,208

The GCF of 294,4939 is 1 .

LCM of 724,208 is 37648.

The greatest common factor of 294/724,4939/208 = [GCF of 294,4939]/[LCM of 724,208]= 1/37648

Therefore, the GCF of 294/724,4939/208 is 1/37648.

Greatest Common Factor of 294,4939

To find the highest common factor of 294,4939, we have to find the factors of both numbers and list the highest common factor.

The factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

The factors of 4939 are 1, 11, 449, 4939

The HCF of 294,4939 is 1.

Lets's calculate GCF of 294,4939

Greatest Common Factor (GCF) of 294,4939 By Common Division

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

Greatest Common Factor of 294,4939 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,4939 By Matching Biggest Common Factor Method

Now, list down the factors of 294

:

1,2,3,6,7,14,21,42,49,98,147,294

Now, list down the factors of 4939

:

1,11,449,4939

Greatest Common Factor

We found the factors 294,4939 . The biggest common factor number is the GCF number.
So the greatest common factor 294,4939 is 1.

Lets's calculate LCM of 724,208

Lowest Common Multiple of 724,208 using Common Division

2 724, 208
2 362, 104
181, 52

∴ So the LCM of the given numbers is 2 x 2 x 181 x 52 = 37648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37648

Therefore, the GCF of Fractions 294/724,4939/208 is 1/37648

Least Common Multiple of 724,208 with GCF Formula

Least Common Multiple of 724,208 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 724,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,208) = 4

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

GCF(724,208) x common factors =4 x 1 = 4

LCM(724,208) = ( 724 × 208 ) / 4

LCM(724,208) = 150592 / 4

LCM(724,208) = 37648


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FAQs on GCF of Fractions of 294/724, 4939/208

1. What is the HCF of 294,4939?

The HCF of 294,4939 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 294/724, 4939/208?

Answer: GCF of Numerators as per given numbers 294/724, 4939/208 is

GCF of Numerators i.e. for 294,4939 is 1

LCM of denominators i.e. for 724,208 is 37648.

Thus, GCF of Fractions is 1/37648.Finally, GCF of Fractions for 294/724, 4939/208 is 1/37648.