Greatest Common Factor of 7569/969, 8758/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7569/969, 8758/368

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 7569/969,8758/368

Given fractions are 7569/969,8758/368

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 7569,8758

Greatest Common Factor of Numerators i.e. GCF of 7569,8758 is 29 .

LCM of Denominators means LCM of 969,368 as per the given fractions.

LCM of 969,368 is 356592 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7569,8758

GCF of Fractions 7569/969,8758/368 is 29/356592

29 7569, 8758
261, 302

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 7569,8758 By Matching Biggest Common Factor Method

Greatest Common Factor of 7569,8758 By Matching Biggest Common Factor Method

Factors of 7569

List of positive integer factors of 7569 that divides 7569 without a remainder.

1,3,9,29,87,261,841,2523,7569

Factors of 8758

List of positive integer factors of 8758 that divides 8758 without a remainder.

1,2,29,58,151,302,4379,8758

Greatest Common Factor

We found the factors 7569,8758 . The biggest common factor number is the GCF number.
So the greatest common factor 7569,8758 is 29.

Lets's calculate LCM of 969,368

Given numbers has no common factors except 1. So, there LCM is their product i.e 356592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/356592

Therefore, the GCF of Fractions 7569/969,8758/368 is 29/356592

Least Common Multiple of 969,368 with GCF Formula

Least Common Multiple of 969,368 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 969,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,368) = 1

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

GCF(969,368) x common factors =1 x 1 = 1

LCM(969,368) = ( 969 × 368 ) / 1

LCM(969,368) = 356592 / 1

LCM(969,368) = 356592


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 7569/969, 8758/368

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 7569/969, 8758/368?

Answer: GCF of Numerators as per given numbers 7569/969, 8758/368 is

GCF of Numerators i.e. for 7569,8758 is 29

LCM of denominators i.e. for 969,368 is 356592.

Thus, GCF of Fractions is 29/356592.Finally, GCF of Fractions for 7569/969, 8758/368 is 29/356592.