Greatest Common Factor of 1695/869, 3109/926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1695/869, 3109/926

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 1695/869,3109/926

Given fractions are 1695/869,3109/926

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 1695,3109

Greatest Common Factor of Numerators i.e. GCF of 1695,3109 is 1 .

LCM of Denominators means LCM of 869,926 as per the given fractions.

LCM of 869,926 is 804694 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1695,3109

GCF of Fractions 1695/869,3109/926 is 1/804694

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

Greatest Common Factor of 1695,3109 By Matching Biggest Common Factor Method

Greatest Common Factor of 1695,3109 By Matching Biggest Common Factor Method

Factors of 1695

List of positive integer factors of 1695 that divides 1695 without a remainder.

1,3,5,15,113,339,565,1695

Factors of 3109

List of positive integer factors of 3109 that divides 3109 without a remainder.

1,3109

Greatest Common Factor

We found the factors 1695,3109 . The biggest common factor number is the GCF number.
So the greatest common factor 1695,3109 is 1.

Lets's calculate LCM of 869,926

Given numbers has no common factors except 1. So, there LCM is their product i.e 804694

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/804694

Therefore, the GCF of Fractions 1695/869,3109/926 is 1/804694

Least Common Multiple of 869,926 with GCF Formula

Least Common Multiple of 869,926 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 869,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(869,926) = 1

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

GCF(869,926) x common factors =1 x 1 = 1

LCM(869,926) = ( 869 × 926 ) / 1

LCM(869,926) = 804694 / 1

LCM(869,926) = 804694


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 1695/869, 3109/926

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 1695/869, 3109/926?

Answer: GCF of Numerators as per given numbers 1695/869, 3109/926 is

GCF of Numerators i.e. for 1695,3109 is 1

LCM of denominators i.e. for 869,926 is 804694.

Thus, GCF of Fractions is 1/804694.Finally, GCF of Fractions for 1695/869, 3109/926 is 1/804694.