Greatest Common Factor of 871/464, 5861/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 871/464, 5861/320

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 871/464,5861/320

Given fractions are 871/464,5861/320

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 871,5861

Greatest Common Factor of Numerators i.e. GCF of 871,5861 is 1 .

LCM of Denominators means LCM of 464,320 as per the given fractions.

LCM of 464,320 is 9280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 871,5861

GCF of Fractions 871/464,5861/320 is 1/9280

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

Greatest Common Factor of 871,5861 By Matching Biggest Common Factor Method

Greatest Common Factor of 871,5861 By Matching Biggest Common Factor Method

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Factors of 5861

List of positive integer factors of 5861 that divides 5861 without a remainder.

1,5861

Greatest Common Factor

We found the factors 871,5861 . The biggest common factor number is the GCF number.
So the greatest common factor 871,5861 is 1.

Lets's calculate LCM of 464,320

2 464, 320
2 232, 160
2 116, 80
2 58, 40
29, 20

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 29 x 20 = 9280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9280

Therefore, the GCF of Fractions 871/464,5861/320 is 1/9280

Least Common Multiple of 464,320 with GCF Formula

Least Common Multiple of 464,320 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 464,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,320) = 16

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

GCF(464,320) x common factors =16 x 1 = 16

LCM(464,320) = ( 464 × 320 ) / 16

LCM(464,320) = 148480 / 16

LCM(464,320) = 9280


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 871/464, 5861/320

1. 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.

2. What is the GCF of Fractions for 871/464, 5861/320?

Answer: GCF of Numerators as per given numbers 871/464, 5861/320 is

GCF of Numerators i.e. for 871,5861 is 1

LCM of denominators i.e. for 464,320 is 9280.

Thus, GCF of Fractions is 1/9280.Finally, GCF of Fractions for 871/464, 5861/320 is 1/9280.