Greatest Common Factor of 6495/694, 2320/5523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6495/694, 2320/5523

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 6495/694,2320/5523

Given fractions are 6495/694,2320/5523

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 6495,2320

Greatest Common Factor of Numerators i.e. GCF of 6495,2320 is 5 .

LCM of Denominators means LCM of 694,5523 as per the given fractions.

LCM of 694,5523 is 3832962 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6495,2320

GCF of Fractions 6495/694,2320/5523 is 5/3832962

5 6495, 2320
1299, 464

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

Greatest Common Factor of 6495,2320 By Matching Biggest Common Factor Method

Greatest Common Factor of 6495,2320 By Matching Biggest Common Factor Method

Factors of 6495

List of positive integer factors of 6495 that divides 6495 without a remainder.

1,3,5,15,433,1299,2165,6495

Factors of 2320

List of positive integer factors of 2320 that divides 2320 without a remainder.

1,2,4,5,8,10,16,20,29,40,58,80,116,145,232,290,464,580,1160,2320

Greatest Common Factor

We found the factors 6495,2320 . The biggest common factor number is the GCF number.
So the greatest common factor 6495,2320 is 5.

Lets's calculate LCM of 694,5523

Given numbers has no common factors except 1. So, there LCM is their product i.e 3832962

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3832962

Therefore, the GCF of Fractions 6495/694,2320/5523 is 5/3832962

Least Common Multiple of 694,5523 with GCF Formula

Least Common Multiple of 694,5523 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 694,5523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(694,5523) = 1

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

GCF(694,5523) x common factors =1 x 1 = 1

LCM(694,5523) = ( 694 × 5523 ) / 1

LCM(694,5523) = 3832962 / 1

LCM(694,5523) = 3832962


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 6495/694, 2320/5523

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 6495/694, 2320/5523?

Answer: GCF of Numerators as per given numbers 6495/694, 2320/5523 is

GCF of Numerators i.e. for 6495,2320 is 5

LCM of denominators i.e. for 694,5523 is 3832962.

Thus, GCF of Fractions is 5/3832962.Finally, GCF of Fractions for 6495/694, 2320/5523 is 5/3832962.