Greatest Common Factor of 675/377, 9330/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 675/377, 9330/997

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 675/377,9330/997

Given fractions are 675/377,9330/997

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 675,9330

Greatest Common Factor of Numerators i.e. GCF of 675,9330 is 15 .

LCM of Denominators means LCM of 377,997 as per the given fractions.

LCM of 377,997 is 375869 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 675,9330

GCF of Fractions 675/377,9330/997 is 15/375869

3 675, 9330
5 225, 3110
45, 622

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 675,9330 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,9330 By Matching Biggest Common Factor Method

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 9330

List of positive integer factors of 9330 that divides 9330 without a remainder.

1,2,3,5,6,10,15,30,311,622,933,1555,1866,3110,4665,9330

Greatest Common Factor

We found the factors 675,9330 . The biggest common factor number is the GCF number.
So the greatest common factor 675,9330 is 15.

Lets's calculate LCM of 377,997

Given numbers has no common factors except 1. So, there LCM is their product i.e 375869

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/375869

Therefore, the GCF of Fractions 675/377,9330/997 is 15/375869

Least Common Multiple of 377,997 with GCF Formula

Least Common Multiple of 377,997 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 377,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(377,997) = 1

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

GCF(377,997) x common factors =1 x 1 = 1

LCM(377,997) = ( 377 × 997 ) / 1

LCM(377,997) = 375869 / 1

LCM(377,997) = 375869


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 675/377, 9330/997

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 675/377, 9330/997?

Answer: GCF of Numerators as per given numbers 675/377, 9330/997 is

GCF of Numerators i.e. for 675,9330 is 15

LCM of denominators i.e. for 377,997 is 375869.

Thus, GCF of Fractions is 15/375869.Finally, GCF of Fractions for 675/377, 9330/997 is 15/375869.