How to Find GCF of 5846/472, 7940/1751?

GCF of 5846/472, 7940/1751

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 5846/472, 7940/1751 i.e 2/826472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5846/472, 7940/1751.

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 5846/472,7940/1751?

Given fractions are 5846/472,7940/1751

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 5846/472,7940/1751, numerators are 5846,7940

Denominators are 472,1751

The GCF of 5846,7940 is 2 .

LCM of 472,1751 is 826472.

The greatest common factor of 5846/472,7940/1751 = [GCF of 5846,7940]/[LCM of 472,1751]= 2/826472

Therefore, the GCF of 5846/472,7940/1751 is 2/826472.

Greatest Common Factor of 5846,7940

To find the highest common factor of 5846,7940, we have to find the factors of both numbers and list the highest common factor.

The factors of 5846 are 1, 2, 37, 74, 79, 158, 2923, 5846

The factors of 7940 are 1, 2, 4, 5, 10, 20, 397, 794, 1588, 1985, 3970, 7940

The HCF of 5846,7940 is 2.

Lets's calculate GCF of 5846,7940

Greatest Common Factor (GCF) of 5846,7940 By Common Division

2	5846, 7940
	2923, 3970

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

Greatest Common Factor of 5846,7940 By Matching Biggest Common Factor Method

Now, list down the factors of 5846

1,2,37,74,79,158,2923,5846

Now, list down the factors of 7940

1,2,4,5,10,20,397,794,1588,1985,3970,7940

Greatest Common Factor

We found the factors 5846,7940 . The biggest common factor number is the GCF number.
So the greatest common factor 5846,7940 is 2.

Lets's calculate LCM of 472,1751

Lowest Common Multiple of 472,1751 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 826472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/826472

Therefore, the GCF of Fractions 5846/472,7940/1751 is 2/826472

Least Common Multiple of 472,1751 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 472,1751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,1751) = 1

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

GCF(472,1751) x common factors =1 x 1 = 1

LCM(472,1751) = ( 472 × 1751 ) / 1

LCM(472,1751) = 826472 / 1

LCM(472,1751) = 826472

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FAQs on GCF of Fractions of 5846/472, 7940/1751

1. What is the HCF of 5846,7940?

The HCF of 5846,7940 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 5846/472, 7940/1751?

Answer: GCF of Numerators as per given numbers 5846/472, 7940/1751 is

GCF of Numerators i.e. for 5846,7940 is 2

LCM of denominators i.e. for 472,1751 is 826472.

Thus, GCF of Fractions is 2/826472.Finally, GCF of Fractions for 5846/472, 7940/1751 is 2/826472.