Greatest Common Factor of 867/65, 769/1310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 867/65, 769/1310

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 867/65,769/1310

Given fractions are 867/65,769/1310

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 867,769

Greatest Common Factor of Numerators i.e. GCF of 867,769 is 1 .

LCM of Denominators means LCM of 65,1310 as per the given fractions.

LCM of 65,1310 is 17030 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 867,769

GCF of Fractions 867/65,769/1310 is 1/17030

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

Greatest Common Factor of 867,769 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,769 By Matching Biggest Common Factor Method

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Greatest Common Factor

We found the factors 867,769 . The biggest common factor number is the GCF number.
So the greatest common factor 867,769 is 1.

Lets's calculate LCM of 65,1310

5 65, 1310
13, 262

∴ So the LCM of the given numbers is 5 x 13 x 262 = 17030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17030

Therefore, the GCF of Fractions 867/65,769/1310 is 1/17030

Least Common Multiple of 65,1310 with GCF Formula

Least Common Multiple of 65,1310 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 65,1310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,1310) = 5

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

GCF(65,1310) x common factors =5 x 1 = 5

LCM(65,1310) = ( 65 × 1310 ) / 5

LCM(65,1310) = 85150 / 5

LCM(65,1310) = 17030


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 867/65, 769/1310

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 867/65, 769/1310?

Answer: GCF of Numerators as per given numbers 867/65, 769/1310 is

GCF of Numerators i.e. for 867,769 is 1

LCM of denominators i.e. for 65,1310 is 17030.

Thus, GCF of Fractions is 1/17030.Finally, GCF of Fractions for 867/65, 769/1310 is 1/17030.