Greatest Common Factor of 982/25, 818/1017

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 982/25, 818/1017

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 982/25,818/1017

Given fractions are 982/25,818/1017

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 982,818

Greatest Common Factor of Numerators i.e. GCF of 982,818 is 2 .

LCM of Denominators means LCM of 25,1017 as per the given fractions.

LCM of 25,1017 is 25425 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 982,818

GCF of Fractions 982/25,818/1017 is 2/25425

2 982, 818
491, 409

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 982,818 By Matching Biggest Common Factor Method

Greatest Common Factor of 982,818 By Matching Biggest Common Factor Method

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Greatest Common Factor

We found the factors 982,818 . The biggest common factor number is the GCF number.
So the greatest common factor 982,818 is 2.

Lets's calculate LCM of 25,1017

Given numbers has no common factors except 1. So, there LCM is their product i.e 25425

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25425

Therefore, the GCF of Fractions 982/25,818/1017 is 2/25425

Least Common Multiple of 25,1017 with GCF Formula

Least Common Multiple of 25,1017 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 25,1017 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,1017) = 1

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

GCF(25,1017) x common factors =1 x 1 = 1

LCM(25,1017) = ( 25 × 1017 ) / 1

LCM(25,1017) = 25425 / 1

LCM(25,1017) = 25425


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 982/25, 818/1017

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 982/25, 818/1017?

Answer: GCF of Numerators as per given numbers 982/25, 818/1017 is

GCF of Numerators i.e. for 982,818 is 2

LCM of denominators i.e. for 25,1017 is 25425.

Thus, GCF of Fractions is 2/25425.Finally, GCF of Fractions for 982/25, 818/1017 is 2/25425.