Greatest Common Factor of 8295/63, 2602/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8295/63, 2602/562

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 8295/63,2602/562

Given fractions are 8295/63,2602/562

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 8295,2602

Greatest Common Factor of Numerators i.e. GCF of 8295,2602 is 1 .

LCM of Denominators means LCM of 63,562 as per the given fractions.

LCM of 63,562 is 35406 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8295,2602

GCF of Fractions 8295/63,2602/562 is 1/35406

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8295,2602 By Matching Biggest Common Factor Method

Greatest Common Factor of 8295,2602 By Matching Biggest Common Factor Method

Factors of 8295

List of positive integer factors of 8295 that divides 8295 without a remainder.

1,3,5,7,15,21,35,79,105,237,395,553,1185,1659,2765,8295

Factors of 2602

List of positive integer factors of 2602 that divides 2602 without a remainder.

1,2,1301,2602

Greatest Common Factor

We found the factors 8295,2602 . The biggest common factor number is the GCF number.
So the greatest common factor 8295,2602 is 1.

Lets's calculate LCM of 63,562

Given numbers has no common factors except 1. So, there LCM is their product i.e 35406

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35406

Therefore, the GCF of Fractions 8295/63,2602/562 is 1/35406

Least Common Multiple of 63,562 with GCF Formula

Least Common Multiple of 63,562 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 63,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,562) = 1

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

GCF(63,562) x common factors =1 x 1 = 1

LCM(63,562) = ( 63 × 562 ) / 1

LCM(63,562) = 35406 / 1

LCM(63,562) = 35406


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 8295/63, 2602/562

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 8295/63, 2602/562?

Answer: GCF of Numerators as per given numbers 8295/63, 2602/562 is

GCF of Numerators i.e. for 8295,2602 is 1

LCM of denominators i.e. for 63,562 is 35406.

Thus, GCF of Fractions is 1/35406.Finally, GCF of Fractions for 8295/63, 2602/562 is 1/35406.