Greatest Common Factor of 1183/518, 5894/1025

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1183/518, 5894/1025

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 1183/518,5894/1025

Given fractions are 1183/518,5894/1025

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 1183,5894

Greatest Common Factor of Numerators i.e. GCF of 1183,5894 is 7 .

LCM of Denominators means LCM of 518,1025 as per the given fractions.

LCM of 518,1025 is 530950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1183,5894

GCF of Fractions 1183/518,5894/1025 is 7/530950

7 1183, 5894
169, 842

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 1183,5894 By Matching Biggest Common Factor Method

Greatest Common Factor of 1183,5894 By Matching Biggest Common Factor Method

Factors of 1183

List of positive integer factors of 1183 that divides 1183 without a remainder.

1,7,13,91,169,1183

Factors of 5894

List of positive integer factors of 5894 that divides 5894 without a remainder.

1,2,7,14,421,842,2947,5894

Greatest Common Factor

We found the factors 1183,5894 . The biggest common factor number is the GCF number.
So the greatest common factor 1183,5894 is 7.

Lets's calculate LCM of 518,1025

Given numbers has no common factors except 1. So, there LCM is their product i.e 530950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/530950

Therefore, the GCF of Fractions 1183/518,5894/1025 is 7/530950

Least Common Multiple of 518,1025 with GCF Formula

Least Common Multiple of 518,1025 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 518,1025 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(518,1025) = 1

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

GCF(518,1025) x common factors =1 x 1 = 1

LCM(518,1025) = ( 518 × 1025 ) / 1

LCM(518,1025) = 530950 / 1

LCM(518,1025) = 530950


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 1183/518, 5894/1025

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 1183/518, 5894/1025?

Answer: GCF of Numerators as per given numbers 1183/518, 5894/1025 is

GCF of Numerators i.e. for 1183,5894 is 7

LCM of denominators i.e. for 518,1025 is 530950.

Thus, GCF of Fractions is 7/530950.Finally, GCF of Fractions for 1183/518, 5894/1025 is 7/530950.