Greatest Common Factor of 103/702, 6491/949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 103/702, 6491/949

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 103/702,6491/949

Given fractions are 103/702,6491/949

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 103,6491

Greatest Common Factor of Numerators i.e. GCF of 103,6491 is 1 .

LCM of Denominators means LCM of 702,949 as per the given fractions.

LCM of 702,949 is 51246 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 103,6491

GCF of Fractions 103/702,6491/949 is 1/51246

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

Greatest Common Factor of 103,6491 By Matching Biggest Common Factor Method

Greatest Common Factor of 103,6491 By Matching Biggest Common Factor Method

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Factors of 6491

List of positive integer factors of 6491 that divides 6491 without a remainder.

1,6491

Greatest Common Factor

We found the factors 103,6491 . The biggest common factor number is the GCF number.
So the greatest common factor 103,6491 is 1.

Lets's calculate LCM of 702,949

13 702, 949
54, 73

∴ So the LCM of the given numbers is 13 x 54 x 73 = 51246

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51246

Therefore, the GCF of Fractions 103/702,6491/949 is 1/51246

Least Common Multiple of 702,949 with GCF Formula

Least Common Multiple of 702,949 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 702,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(702,949) = 13

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

GCF(702,949) x common factors =13 x 1 = 13

LCM(702,949) = ( 702 × 949 ) / 13

LCM(702,949) = 666198 / 13

LCM(702,949) = 51246


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 103/702, 6491/949

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 103/702, 6491/949?

Answer: GCF of Numerators as per given numbers 103/702, 6491/949 is

GCF of Numerators i.e. for 103,6491 is 1

LCM of denominators i.e. for 702,949 is 51246.

Thus, GCF of Fractions is 1/51246.Finally, GCF of Fractions for 103/702, 6491/949 is 1/51246.