Greatest Common Factor of 7565/697, 8725/5606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7565/697, 8725/5606

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 7565/697,8725/5606

Given fractions are 7565/697,8725/5606

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 7565,8725

Greatest Common Factor of Numerators i.e. GCF of 7565,8725 is 5 .

LCM of Denominators means LCM of 697,5606 as per the given fractions.

LCM of 697,5606 is 3907382 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7565,8725

GCF of Fractions 7565/697,8725/5606 is 5/3907382

5 7565, 8725
1513, 1745

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 7565,8725 By Matching Biggest Common Factor Method

Greatest Common Factor of 7565,8725 By Matching Biggest Common Factor Method

Factors of 7565

List of positive integer factors of 7565 that divides 7565 without a remainder.

1,5,17,85,89,445,1513,7565

Factors of 8725

List of positive integer factors of 8725 that divides 8725 without a remainder.

1,5,25,349,1745,8725

Greatest Common Factor

We found the factors 7565,8725 . The biggest common factor number is the GCF number.
So the greatest common factor 7565,8725 is 5.

Lets's calculate LCM of 697,5606

Given numbers has no common factors except 1. So, there LCM is their product i.e 3907382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3907382

Therefore, the GCF of Fractions 7565/697,8725/5606 is 5/3907382

Least Common Multiple of 697,5606 with GCF Formula

Least Common Multiple of 697,5606 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 697,5606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(697,5606) = 1

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

GCF(697,5606) x common factors =1 x 1 = 1

LCM(697,5606) = ( 697 × 5606 ) / 1

LCM(697,5606) = 3907382 / 1

LCM(697,5606) = 3907382


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 7565/697, 8725/5606

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 7565/697, 8725/5606?

Answer: GCF of Numerators as per given numbers 7565/697, 8725/5606 is

GCF of Numerators i.e. for 7565,8725 is 5

LCM of denominators i.e. for 697,5606 is 3907382.

Thus, GCF of Fractions is 5/3907382.Finally, GCF of Fractions for 7565/697, 8725/5606 is 5/3907382.