Greatest Common Factor of 969/13, 760/3825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 969/13, 760/3825

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 969/13,760/3825

Given fractions are 969/13,760/3825

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 969,760

Greatest Common Factor of Numerators i.e. GCF of 969,760 is 19 .

LCM of Denominators means LCM of 13,3825 as per the given fractions.

LCM of 13,3825 is 49725 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 969,760

GCF of Fractions 969/13,760/3825 is 19/49725

19 969, 760
51, 40

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 969,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 969,760 By Matching Biggest Common Factor Method

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 969,760 . The biggest common factor number is the GCF number.
So the greatest common factor 969,760 is 19.

Lets's calculate LCM of 13,3825

Given numbers has no common factors except 1. So, there LCM is their product i.e 49725

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/49725

Therefore, the GCF of Fractions 969/13,760/3825 is 19/49725

Least Common Multiple of 13,3825 with GCF Formula

Least Common Multiple of 13,3825 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 13,3825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,3825) = 1

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

GCF(13,3825) x common factors =1 x 1 = 1

LCM(13,3825) = ( 13 × 3825 ) / 1

LCM(13,3825) = 49725 / 1

LCM(13,3825) = 49725


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 969/13, 760/3825

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 969/13, 760/3825?

Answer: GCF of Numerators as per given numbers 969/13, 760/3825 is

GCF of Numerators i.e. for 969,760 is 19

LCM of denominators i.e. for 13,3825 is 49725.

Thus, GCF of Fractions is 19/49725.Finally, GCF of Fractions for 969/13, 760/3825 is 19/49725.