How to Find GCF of 4924/539, 2938/8842?

GCF of 4924/539, 2938/8842

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 4924/539, 2938/8842 i.e 2/4765838 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4924/539, 2938/8842.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 4924/539,2938/8842?

Given fractions are 4924/539,2938/8842

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 4924/539,2938/8842, numerators are 4924,2938

Denominators are 539,8842

The GCF of 4924,2938 is 2 .

LCM of 539,8842 is 4765838.

The greatest common factor of 4924/539,2938/8842 = [GCF of 4924,2938]/[LCM of 539,8842]= 2/4765838

Therefore, the GCF of 4924/539,2938/8842 is 2/4765838.

Greatest Common Factor of 4924,2938

To find the highest common factor of 4924,2938, we have to find the factors of both numbers and list the highest common factor.

The factors of 4924 are 1, 2, 4, 1231, 2462, 4924

The factors of 2938 are 1, 2, 13, 26, 113, 226, 1469, 2938

The HCF of 4924,2938 is 2.

Lets's calculate GCF of 4924,2938

Greatest Common Factor (GCF) of 4924,2938 By Common Division

2	4924, 2938
	2462, 1469

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

Greatest Common Factor of 4924,2938 By Matching Biggest Common Factor Method

Now, list down the factors of 4924

1,2,4,1231,2462,4924

Now, list down the factors of 2938

1,2,13,26,113,226,1469,2938

Greatest Common Factor

We found the factors 4924,2938 . The biggest common factor number is the GCF number.
So the greatest common factor 4924,2938 is 2.

Lets's calculate LCM of 539,8842

Lowest Common Multiple of 539,8842 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4765838

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4765838

Therefore, the GCF of Fractions 4924/539,2938/8842 is 2/4765838

Least Common Multiple of 539,8842 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 539,8842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(539,8842) = 1

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

GCF(539,8842) x common factors =1 x 1 = 1

LCM(539,8842) = ( 539 × 8842 ) / 1

LCM(539,8842) = 4765838 / 1

LCM(539,8842) = 4765838

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4924/539, 2938/8842

1. What is the HCF of 4924,2938?

The HCF of 4924,2938 is 2

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 4924/539, 2938/8842?

Answer: GCF of Numerators as per given numbers 4924/539, 2938/8842 is

GCF of Numerators i.e. for 4924,2938 is 2

LCM of denominators i.e. for 539,8842 is 4765838.

Thus, GCF of Fractions is 2/4765838.Finally, GCF of Fractions for 4924/539, 2938/8842 is 2/4765838.