Greatest Common Factor of 7269/41, 8174/150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7269/41, 8174/150

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 7269/41,8174/150

Given fractions are 7269/41,8174/150

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 7269,8174

Greatest Common Factor of Numerators i.e. GCF of 7269,8174 is 1 .

LCM of Denominators means LCM of 41,150 as per the given fractions.

LCM of 41,150 is 6150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7269,8174

GCF of Fractions 7269/41,8174/150 is 1/6150

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

Greatest Common Factor of 7269,8174 By Matching Biggest Common Factor Method

Greatest Common Factor of 7269,8174 By Matching Biggest Common Factor Method

Factors of 7269

List of positive integer factors of 7269 that divides 7269 without a remainder.

1,3,2423,7269

Factors of 8174

List of positive integer factors of 8174 that divides 8174 without a remainder.

1,2,61,67,122,134,4087,8174

Greatest Common Factor

We found the factors 7269,8174 . The biggest common factor number is the GCF number.
So the greatest common factor 7269,8174 is 1.

Lets's calculate LCM of 41,150

Given numbers has no common factors except 1. So, there LCM is their product i.e 6150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6150

Therefore, the GCF of Fractions 7269/41,8174/150 is 1/6150

Least Common Multiple of 41,150 with GCF Formula

Least Common Multiple of 41,150 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 41,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,150) = 1

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

GCF(41,150) x common factors =1 x 1 = 1

LCM(41,150) = ( 41 × 150 ) / 1

LCM(41,150) = 6150 / 1

LCM(41,150) = 6150


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 7269/41, 8174/150

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 7269/41, 8174/150?

Answer: GCF of Numerators as per given numbers 7269/41, 8174/150 is

GCF of Numerators i.e. for 7269,8174 is 1

LCM of denominators i.e. for 41,150 is 6150.

Thus, GCF of Fractions is 1/6150.Finally, GCF of Fractions for 7269/41, 8174/150 is 1/6150.