Greatest Common Factor of 8318/275, 1036/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8318/275, 1036/958

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 8318/275,1036/958

Given fractions are 8318/275,1036/958

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 8318,1036

Greatest Common Factor of Numerators i.e. GCF of 8318,1036 is 2 .

LCM of Denominators means LCM of 275,958 as per the given fractions.

LCM of 275,958 is 263450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8318,1036

GCF of Fractions 8318/275,1036/958 is 2/263450

2 8318, 1036
4159, 518

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

Greatest Common Factor of 8318,1036 By Matching Biggest Common Factor Method

Greatest Common Factor of 8318,1036 By Matching Biggest Common Factor Method

Factors of 8318

List of positive integer factors of 8318 that divides 8318 without a remainder.

1,2,4159,8318

Factors of 1036

List of positive integer factors of 1036 that divides 1036 without a remainder.

1,2,4,7,14,28,37,74,148,259,518,1036

Greatest Common Factor

We found the factors 8318,1036 . The biggest common factor number is the GCF number.
So the greatest common factor 8318,1036 is 2.

Lets's calculate LCM of 275,958

Given numbers has no common factors except 1. So, there LCM is their product i.e 263450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/263450

Therefore, the GCF of Fractions 8318/275,1036/958 is 2/263450

Least Common Multiple of 275,958 with GCF Formula

Least Common Multiple of 275,958 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 275,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,958) = 1

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

GCF(275,958) x common factors =1 x 1 = 1

LCM(275,958) = ( 275 × 958 ) / 1

LCM(275,958) = 263450 / 1

LCM(275,958) = 263450


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 8318/275, 1036/958

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 8318/275, 1036/958?

Answer: GCF of Numerators as per given numbers 8318/275, 1036/958 is

GCF of Numerators i.e. for 8318,1036 is 2

LCM of denominators i.e. for 275,958 is 263450.

Thus, GCF of Fractions is 2/263450.Finally, GCF of Fractions for 8318/275, 1036/958 is 2/263450.