How to Find GCF of 6931/480, 4456/5911?

GCF of 6931/480, 4456/5911

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 6931/480, 4456/5911 i.e 1/2837280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6931/480, 4456/5911.

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 6931/480,4456/5911?

Given fractions are 6931/480,4456/5911

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 6931/480,4456/5911, numerators are 6931,4456

Denominators are 480,5911

The GCF of 6931,4456 is 1 .

LCM of 480,5911 is 2837280.

The greatest common factor of 6931/480,4456/5911 = [GCF of 6931,4456]/[LCM of 480,5911]= 1/2837280

Therefore, the GCF of 6931/480,4456/5911 is 1/2837280.

Greatest Common Factor of 6931,4456

To find the highest common factor of 6931,4456, we have to find the factors of both numbers and list the highest common factor.

The factors of 6931 are 1, 29, 239, 6931

The factors of 4456 are 1, 2, 4, 8, 557, 1114, 2228, 4456

The HCF of 6931,4456 is 1.

Lets's calculate GCF of 6931,4456

Greatest Common Factor (GCF) of 6931,4456 By Common Division

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

Greatest Common Factor of 6931,4456 By Matching Biggest Common Factor Method

Now, list down the factors of 6931

1,29,239,6931

Now, list down the factors of 4456

1,2,4,8,557,1114,2228,4456

Greatest Common Factor

We found the factors 6931,4456 . The biggest common factor number is the GCF number.
So the greatest common factor 6931,4456 is 1.

Lets's calculate LCM of 480,5911

Lowest Common Multiple of 480,5911 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2837280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2837280

Therefore, the GCF of Fractions 6931/480,4456/5911 is 1/2837280

Least Common Multiple of 480,5911 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 480,5911 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,5911) = 1

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

GCF(480,5911) x common factors =1 x 1 = 1

LCM(480,5911) = ( 480 × 5911 ) / 1

LCM(480,5911) = 2837280 / 1

LCM(480,5911) = 2837280

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FAQs on GCF of Fractions of 6931/480, 4456/5911

1. What is the HCF of 6931,4456?

The HCF of 6931,4456 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 6931/480, 4456/5911?

Answer: GCF of Numerators as per given numbers 6931/480, 4456/5911 is

GCF of Numerators i.e. for 6931,4456 is 1

LCM of denominators i.e. for 480,5911 is 2837280.

Thus, GCF of Fractions is 1/2837280.Finally, GCF of Fractions for 6931/480, 4456/5911 is 1/2837280.