Greatest Common Factor of 370/49, 7175/233

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 370/49, 7175/233

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 370/49,7175/233

Given fractions are 370/49,7175/233

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 370,7175

Greatest Common Factor of Numerators i.e. GCF of 370,7175 is 5 .

LCM of Denominators means LCM of 49,233 as per the given fractions.

LCM of 49,233 is 11417 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 370,7175

GCF of Fractions 370/49,7175/233 is 5/11417

5 370, 7175
74, 1435

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 370,7175 By Matching Biggest Common Factor Method

Greatest Common Factor of 370,7175 By Matching Biggest Common Factor Method

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Factors of 7175

List of positive integer factors of 7175 that divides 7175 without a remainder.

1,5,7,25,35,41,175,205,287,1025,1435,7175

Greatest Common Factor

We found the factors 370,7175 . The biggest common factor number is the GCF number.
So the greatest common factor 370,7175 is 5.

Lets's calculate LCM of 49,233

Given numbers has no common factors except 1. So, there LCM is their product i.e 11417

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/11417

Therefore, the GCF of Fractions 370/49,7175/233 is 5/11417

Least Common Multiple of 49,233 with GCF Formula

Least Common Multiple of 49,233 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 49,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,233) = 1

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

GCF(49,233) x common factors =1 x 1 = 1

LCM(49,233) = ( 49 × 233 ) / 1

LCM(49,233) = 11417 / 1

LCM(49,233) = 11417


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 370/49, 7175/233

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 370/49, 7175/233?

Answer: GCF of Numerators as per given numbers 370/49, 7175/233 is

GCF of Numerators i.e. for 370,7175 is 5

LCM of denominators i.e. for 49,233 is 11417.

Thus, GCF of Fractions is 5/11417.Finally, GCF of Fractions for 370/49, 7175/233 is 5/11417.