Greatest Common Factor of 1369/858, 6440/7865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1369/858, 6440/7865

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 1369/858,6440/7865

Given fractions are 1369/858,6440/7865

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 1369,6440

Greatest Common Factor of Numerators i.e. GCF of 1369,6440 is 1 .

LCM of Denominators means LCM of 858,7865 as per the given fractions.

LCM of 858,7865 is 47190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1369,6440

GCF of Fractions 1369/858,6440/7865 is 1/47190

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

Greatest Common Factor of 1369,6440 By Matching Biggest Common Factor Method

Greatest Common Factor of 1369,6440 By Matching Biggest Common Factor Method

Factors of 1369

List of positive integer factors of 1369 that divides 1369 without a remainder.

1,37,1369

Factors of 6440

List of positive integer factors of 6440 that divides 6440 without a remainder.

1,2,4,5,7,8,10,14,20,23,28,35,40,46,56,70,92,115,140,161,184,230,280,322,460,644,805,920,1288,1610,3220,6440

Greatest Common Factor

We found the factors 1369,6440 . The biggest common factor number is the GCF number.
So the greatest common factor 1369,6440 is 1.

Lets's calculate LCM of 858,7865

11 858, 7865
13 78, 715
6, 55

∴ So the LCM of the given numbers is 11 x 13 x 6 x 55 = 47190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47190

Therefore, the GCF of Fractions 1369/858,6440/7865 is 1/47190

Least Common Multiple of 858,7865 with GCF Formula

Least Common Multiple of 858,7865 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 858,7865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(858,7865) = 143

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

GCF(858,7865) x common factors =143 x 1 = 143

LCM(858,7865) = ( 858 × 7865 ) / 143

LCM(858,7865) = 6748170 / 143

LCM(858,7865) = 47190


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 1369/858, 6440/7865

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 1369/858, 6440/7865?

Answer: GCF of Numerators as per given numbers 1369/858, 6440/7865 is

GCF of Numerators i.e. for 1369,6440 is 1

LCM of denominators i.e. for 858,7865 is 47190.

Thus, GCF of Fractions is 1/47190.Finally, GCF of Fractions for 1369/858, 6440/7865 is 1/47190.