Greatest Common Factor of 9149/457, 5767/3674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9149/457, 5767/3674

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 9149/457,5767/3674

Given fractions are 9149/457,5767/3674

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 9149,5767

Greatest Common Factor of Numerators i.e. GCF of 9149,5767 is 1 .

LCM of Denominators means LCM of 457,3674 as per the given fractions.

LCM of 457,3674 is 1679018 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9149,5767

GCF of Fractions 9149/457,5767/3674 is 1/1679018

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

Greatest Common Factor of 9149,5767 By Matching Biggest Common Factor Method

Greatest Common Factor of 9149,5767 By Matching Biggest Common Factor Method

Factors of 9149

List of positive integer factors of 9149 that divides 9149 without a remainder.

1,7,1307,9149

Factors of 5767

List of positive integer factors of 5767 that divides 5767 without a remainder.

1,73,79,5767

Greatest Common Factor

We found the factors 9149,5767 . The biggest common factor number is the GCF number.
So the greatest common factor 9149,5767 is 1.

Lets's calculate LCM of 457,3674

Given numbers has no common factors except 1. So, there LCM is their product i.e 1679018

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1679018

Therefore, the GCF of Fractions 9149/457,5767/3674 is 1/1679018

Least Common Multiple of 457,3674 with GCF Formula

Least Common Multiple of 457,3674 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 457,3674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(457,3674) = 1

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

GCF(457,3674) x common factors =1 x 1 = 1

LCM(457,3674) = ( 457 × 3674 ) / 1

LCM(457,3674) = 1679018 / 1

LCM(457,3674) = 1679018


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 9149/457, 5767/3674

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 9149/457, 5767/3674?

Answer: GCF of Numerators as per given numbers 9149/457, 5767/3674 is

GCF of Numerators i.e. for 9149,5767 is 1

LCM of denominators i.e. for 457,3674 is 1679018.

Thus, GCF of Fractions is 1/1679018.Finally, GCF of Fractions for 9149/457, 5767/3674 is 1/1679018.