Greatest Common Factor of 8618/949, 8975/3379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8618/949, 8975/3379

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 8618/949,8975/3379

Given fractions are 8618/949,8975/3379

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 8618,8975

Greatest Common Factor of Numerators i.e. GCF of 8618,8975 is 1 .

LCM of Denominators means LCM of 949,3379 as per the given fractions.

LCM of 949,3379 is 3206671 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8618,8975

GCF of Fractions 8618/949,8975/3379 is 1/3206671

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

Greatest Common Factor of 8618,8975 By Matching Biggest Common Factor Method

Greatest Common Factor of 8618,8975 By Matching Biggest Common Factor Method

Factors of 8618

List of positive integer factors of 8618 that divides 8618 without a remainder.

1,2,31,62,139,278,4309,8618

Factors of 8975

List of positive integer factors of 8975 that divides 8975 without a remainder.

1,5,25,359,1795,8975

Greatest Common Factor

We found the factors 8618,8975 . The biggest common factor number is the GCF number.
So the greatest common factor 8618,8975 is 1.

Lets's calculate LCM of 949,3379

Given numbers has no common factors except 1. So, there LCM is their product i.e 3206671

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3206671

Therefore, the GCF of Fractions 8618/949,8975/3379 is 1/3206671

Least Common Multiple of 949,3379 with GCF Formula

Least Common Multiple of 949,3379 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 949,3379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(949,3379) = 1

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

GCF(949,3379) x common factors =1 x 1 = 1

LCM(949,3379) = ( 949 × 3379 ) / 1

LCM(949,3379) = 3206671 / 1

LCM(949,3379) = 3206671


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 8618/949, 8975/3379

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 8618/949, 8975/3379?

Answer: GCF of Numerators as per given numbers 8618/949, 8975/3379 is

GCF of Numerators i.e. for 8618,8975 is 1

LCM of denominators i.e. for 949,3379 is 3206671.

Thus, GCF of Fractions is 1/3206671.Finally, GCF of Fractions for 8618/949, 8975/3379 is 1/3206671.