Greatest Common Factor of 560/465, 2086/277

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 560/465, 2086/277

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 560/465,2086/277

Given fractions are 560/465,2086/277

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 560,2086

Greatest Common Factor of Numerators i.e. GCF of 560,2086 is 14 .

LCM of Denominators means LCM of 465,277 as per the given fractions.

LCM of 465,277 is 128805 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 560,2086

GCF of Fractions 560/465,2086/277 is 14/128805

2 560, 2086
7 280, 1043
40, 149

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 560,2086 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,2086 By Matching Biggest Common Factor Method

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 2086

List of positive integer factors of 2086 that divides 2086 without a remainder.

1,2,7,14,149,298,1043,2086

Greatest Common Factor

We found the factors 560,2086 . The biggest common factor number is the GCF number.
So the greatest common factor 560,2086 is 14.

Lets's calculate LCM of 465,277

Given numbers has no common factors except 1. So, there LCM is their product i.e 128805

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/128805

Therefore, the GCF of Fractions 560/465,2086/277 is 14/128805

Least Common Multiple of 465,277 with GCF Formula

Least Common Multiple of 465,277 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 465,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,277) = 1

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

GCF(465,277) x common factors =1 x 1 = 1

LCM(465,277) = ( 465 × 277 ) / 1

LCM(465,277) = 128805 / 1

LCM(465,277) = 128805


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 560/465, 2086/277

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 560/465, 2086/277?

Answer: GCF of Numerators as per given numbers 560/465, 2086/277 is

GCF of Numerators i.e. for 560,2086 is 14

LCM of denominators i.e. for 465,277 is 128805.

Thus, GCF of Fractions is 14/128805.Finally, GCF of Fractions for 560/465, 2086/277 is 14/128805.