How to Find GCF of 296/520, 5954/744?

GCF of 296/520, 5954/744

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 296/520, 5954/744 i.e 2/48360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 296/520, 5954/744.

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 296/520,5954/744?

Given fractions are 296/520,5954/744

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 296/520,5954/744, numerators are 296,5954

Denominators are 520,744

The GCF of 296,5954 is 2 .

LCM of 520,744 is 48360.

The greatest common factor of 296/520,5954/744 = [GCF of 296,5954]/[LCM of 520,744]= 2/48360

Therefore, the GCF of 296/520,5954/744 is 2/48360.

Greatest Common Factor of 296,5954

To find the highest common factor of 296,5954, we have to find the factors of both numbers and list the highest common factor.

The factors of 296 are 1, 2, 4, 8, 37, 74, 148, 296

The factors of 5954 are 1, 2, 13, 26, 229, 458, 2977, 5954

The HCF of 296,5954 is 2.

Lets's calculate GCF of 296,5954

Greatest Common Factor (GCF) of 296,5954 By Common Division

2	296, 5954
	148, 2977

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

Greatest Common Factor of 296,5954 By Matching Biggest Common Factor Method

Now, list down the factors of 296

1,2,4,8,37,74,148,296

Now, list down the factors of 5954

1,2,13,26,229,458,2977,5954

Greatest Common Factor

We found the factors 296,5954 . The biggest common factor number is the GCF number.
So the greatest common factor 296,5954 is 2.

Lets's calculate LCM of 520,744

Lowest Common Multiple of 520,744 using Common Division

2	520, 744
2	260, 372
2	130, 186
	65, 93

∴ So the LCM of the given numbers is 2 x 2 x 2 x 65 x 93 = 48360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/48360

Therefore, the GCF of Fractions 296/520,5954/744 is 2/48360

Least Common Multiple of 520,744 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 520,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,744) = 8

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

GCF(520,744) x common factors =8 x 1 = 8

LCM(520,744) = ( 520 × 744 ) / 8

LCM(520,744) = 386880 / 8

LCM(520,744) = 48360

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FAQs on GCF of Fractions of 296/520, 5954/744

1. What is the HCF of 296,5954?

The HCF of 296,5954 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 296/520, 5954/744?

Answer: GCF of Numerators as per given numbers 296/520, 5954/744 is

GCF of Numerators i.e. for 296,5954 is 2

LCM of denominators i.e. for 520,744 is 48360.

Thus, GCF of Fractions is 2/48360.Finally, GCF of Fractions for 296/520, 5954/744 is 2/48360.