Greatest Common Factor of 4567/371, 8380/711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4567/371, 8380/711

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 4567/371,8380/711

Given fractions are 4567/371,8380/711

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 4567,8380

Greatest Common Factor of Numerators i.e. GCF of 4567,8380 is 1 .

LCM of Denominators means LCM of 371,711 as per the given fractions.

LCM of 371,711 is 263781 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4567,8380

GCF of Fractions 4567/371,8380/711 is 1/263781

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

Greatest Common Factor of 4567,8380 By Matching Biggest Common Factor Method

Greatest Common Factor of 4567,8380 By Matching Biggest Common Factor Method

Factors of 4567

List of positive integer factors of 4567 that divides 4567 without a remainder.

1,4567

Factors of 8380

List of positive integer factors of 8380 that divides 8380 without a remainder.

1,2,4,5,10,20,419,838,1676,2095,4190,8380

Greatest Common Factor

We found the factors 4567,8380 . The biggest common factor number is the GCF number.
So the greatest common factor 4567,8380 is 1.

Lets's calculate LCM of 371,711

Given numbers has no common factors except 1. So, there LCM is their product i.e 263781

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/263781

Therefore, the GCF of Fractions 4567/371,8380/711 is 1/263781

Least Common Multiple of 371,711 with GCF Formula

Least Common Multiple of 371,711 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 371,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(371,711) = 1

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

GCF(371,711) x common factors =1 x 1 = 1

LCM(371,711) = ( 371 × 711 ) / 1

LCM(371,711) = 263781 / 1

LCM(371,711) = 263781


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 4567/371, 8380/711

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 4567/371, 8380/711?

Answer: GCF of Numerators as per given numbers 4567/371, 8380/711 is

GCF of Numerators i.e. for 4567,8380 is 1

LCM of denominators i.e. for 371,711 is 263781.

Thus, GCF of Fractions is 1/263781.Finally, GCF of Fractions for 4567/371, 8380/711 is 1/263781.