Greatest Common Factor of 1300/587, 5312/1813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1300/587, 5312/1813

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 1300/587,5312/1813

Given fractions are 1300/587,5312/1813

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 1300,5312

Greatest Common Factor of Numerators i.e. GCF of 1300,5312 is 4 .

LCM of Denominators means LCM of 587,1813 as per the given fractions.

LCM of 587,1813 is 1064231 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1300,5312

GCF of Fractions 1300/587,5312/1813 is 4/1064231

2 1300, 5312
2 650, 2656
325, 1328

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1300,5312 By Matching Biggest Common Factor Method

Greatest Common Factor of 1300,5312 By Matching Biggest Common Factor Method

Factors of 1300

List of positive integer factors of 1300 that divides 1300 without a remainder.

1,2,4,5,10,13,20,25,26,50,52,65,100,130,260,325,650,1300

Factors of 5312

List of positive integer factors of 5312 that divides 5312 without a remainder.

1,2,4,8,16,32,64,83,166,332,664,1328,2656,5312

Greatest Common Factor

We found the factors 1300,5312 . The biggest common factor number is the GCF number.
So the greatest common factor 1300,5312 is 4.

Lets's calculate LCM of 587,1813

Given numbers has no common factors except 1. So, there LCM is their product i.e 1064231

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1064231

Therefore, the GCF of Fractions 1300/587,5312/1813 is 4/1064231

Least Common Multiple of 587,1813 with GCF Formula

Least Common Multiple of 587,1813 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 587,1813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(587,1813) = 1

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

GCF(587,1813) x common factors =1 x 1 = 1

LCM(587,1813) = ( 587 × 1813 ) / 1

LCM(587,1813) = 1064231 / 1

LCM(587,1813) = 1064231


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 1300/587, 5312/1813

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 1300/587, 5312/1813?

Answer: GCF of Numerators as per given numbers 1300/587, 5312/1813 is

GCF of Numerators i.e. for 1300,5312 is 4

LCM of denominators i.e. for 587,1813 is 1064231.

Thus, GCF of Fractions is 4/1064231.Finally, GCF of Fractions for 1300/587, 5312/1813 is 4/1064231.