Greatest Common Factor of 183/749, 7427/9574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 183/749, 7427/9574

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 183/749,7427/9574

Given fractions are 183/749,7427/9574

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 183,7427

Greatest Common Factor of Numerators i.e. GCF of 183,7427 is 1 .

LCM of Denominators means LCM of 749,9574 as per the given fractions.

LCM of 749,9574 is 7170926 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 183,7427

GCF of Fractions 183/749,7427/9574 is 1/7170926

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

Greatest Common Factor of 183,7427 By Matching Biggest Common Factor Method

Greatest Common Factor of 183,7427 By Matching Biggest Common Factor Method

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Factors of 7427

List of positive integer factors of 7427 that divides 7427 without a remainder.

1,7,1061,7427

Greatest Common Factor

We found the factors 183,7427 . The biggest common factor number is the GCF number.
So the greatest common factor 183,7427 is 1.

Lets's calculate LCM of 749,9574

Given numbers has no common factors except 1. So, there LCM is their product i.e 7170926

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7170926

Therefore, the GCF of Fractions 183/749,7427/9574 is 1/7170926

Least Common Multiple of 749,9574 with GCF Formula

Least Common Multiple of 749,9574 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 749,9574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,9574) = 1

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

GCF(749,9574) x common factors =1 x 1 = 1

LCM(749,9574) = ( 749 × 9574 ) / 1

LCM(749,9574) = 7170926 / 1

LCM(749,9574) = 7170926


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 183/749, 7427/9574

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 183/749, 7427/9574?

Answer: GCF of Numerators as per given numbers 183/749, 7427/9574 is

GCF of Numerators i.e. for 183,7427 is 1

LCM of denominators i.e. for 749,9574 is 7170926.

Thus, GCF of Fractions is 1/7170926.Finally, GCF of Fractions for 183/749, 7427/9574 is 1/7170926.