Greatest Common Factor of 803/938, 949/359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 803/938, 949/359

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 803/938,949/359

Given fractions are 803/938,949/359

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 803,949

Greatest Common Factor of Numerators i.e. GCF of 803,949 is 73 .

LCM of Denominators means LCM of 938,359 as per the given fractions.

LCM of 938,359 is 336742 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 803,949

GCF of Fractions 803/938,949/359 is 73/336742

73 803, 949
11, 13

∴ So the GCF of the given numbers is 73 = 73

Greatest Common Factor of 803,949 By Matching Biggest Common Factor Method

Greatest Common Factor of 803,949 By Matching Biggest Common Factor Method

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Greatest Common Factor

We found the factors 803,949 . The biggest common factor number is the GCF number.
So the greatest common factor 803,949 is 73.

Lets's calculate LCM of 938,359

Given numbers has no common factors except 1. So, there LCM is their product i.e 336742

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 73/336742

Therefore, the GCF of Fractions 803/938,949/359 is 73/336742

Least Common Multiple of 938,359 with GCF Formula

Least Common Multiple of 938,359 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 938,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,359) = 1

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

GCF(938,359) x common factors =1 x 1 = 1

LCM(938,359) = ( 938 × 359 ) / 1

LCM(938,359) = 336742 / 1

LCM(938,359) = 336742


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 803/938, 949/359

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 803/938, 949/359?

Answer: GCF of Numerators as per given numbers 803/938, 949/359 is

GCF of Numerators i.e. for 803,949 is 73

LCM of denominators i.e. for 938,359 is 336742.

Thus, GCF of Fractions is 73/336742.Finally, GCF of Fractions for 803/938, 949/359 is 73/336742.