Greatest Common Factor of 6545/32, 5480/763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6545/32, 5480/763

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 6545/32,5480/763

Given fractions are 6545/32,5480/763

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 6545,5480

Greatest Common Factor of Numerators i.e. GCF of 6545,5480 is 5 .

LCM of Denominators means LCM of 32,763 as per the given fractions.

LCM of 32,763 is 24416 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6545,5480

GCF of Fractions 6545/32,5480/763 is 5/24416

5 6545, 5480
1309, 1096

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

Greatest Common Factor of 6545,5480 By Matching Biggest Common Factor Method

Greatest Common Factor of 6545,5480 By Matching Biggest Common Factor Method

Factors of 6545

List of positive integer factors of 6545 that divides 6545 without a remainder.

1,5,7,11,17,35,55,77,85,119,187,385,595,935,1309,6545

Factors of 5480

List of positive integer factors of 5480 that divides 5480 without a remainder.

1,2,4,5,8,10,20,40,137,274,548,685,1096,1370,2740,5480

Greatest Common Factor

We found the factors 6545,5480 . The biggest common factor number is the GCF number.
So the greatest common factor 6545,5480 is 5.

Lets's calculate LCM of 32,763

Given numbers has no common factors except 1. So, there LCM is their product i.e 24416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/24416

Therefore, the GCF of Fractions 6545/32,5480/763 is 5/24416

Least Common Multiple of 32,763 with GCF Formula

Least Common Multiple of 32,763 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 32,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,763) = 1

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

GCF(32,763) x common factors =1 x 1 = 1

LCM(32,763) = ( 32 × 763 ) / 1

LCM(32,763) = 24416 / 1

LCM(32,763) = 24416


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 6545/32, 5480/763

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 6545/32, 5480/763?

Answer: GCF of Numerators as per given numbers 6545/32, 5480/763 is

GCF of Numerators i.e. for 6545,5480 is 5

LCM of denominators i.e. for 32,763 is 24416.

Thus, GCF of Fractions is 5/24416.Finally, GCF of Fractions for 6545/32, 5480/763 is 5/24416.