Greatest Common Factor of 914/89, 5787/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 914/89, 5787/280

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 914/89,5787/280

Given fractions are 914/89,5787/280

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 914,5787

Greatest Common Factor of Numerators i.e. GCF of 914,5787 is 1 .

LCM of Denominators means LCM of 89,280 as per the given fractions.

LCM of 89,280 is 24920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 914,5787

GCF of Fractions 914/89,5787/280 is 1/24920

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

Greatest Common Factor of 914,5787 By Matching Biggest Common Factor Method

Greatest Common Factor of 914,5787 By Matching Biggest Common Factor Method

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Factors of 5787

List of positive integer factors of 5787 that divides 5787 without a remainder.

1,3,9,643,1929,5787

Greatest Common Factor

We found the factors 914,5787 . The biggest common factor number is the GCF number.
So the greatest common factor 914,5787 is 1.

Lets's calculate LCM of 89,280

Given numbers has no common factors except 1. So, there LCM is their product i.e 24920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24920

Therefore, the GCF of Fractions 914/89,5787/280 is 1/24920

Least Common Multiple of 89,280 with GCF Formula

Least Common Multiple of 89,280 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 89,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,280) = 1

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

GCF(89,280) x common factors =1 x 1 = 1

LCM(89,280) = ( 89 × 280 ) / 1

LCM(89,280) = 24920 / 1

LCM(89,280) = 24920


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 914/89, 5787/280

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 914/89, 5787/280?

Answer: GCF of Numerators as per given numbers 914/89, 5787/280 is

GCF of Numerators i.e. for 914,5787 is 1

LCM of denominators i.e. for 89,280 is 24920.

Thus, GCF of Fractions is 1/24920.Finally, GCF of Fractions for 914/89, 5787/280 is 1/24920.