Greatest Common Factor of 1905/97, 7347/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1905/97, 7347/665

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 1905/97,7347/665

Given fractions are 1905/97,7347/665

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 1905,7347

Greatest Common Factor of Numerators i.e. GCF of 1905,7347 is 3 .

LCM of Denominators means LCM of 97,665 as per the given fractions.

LCM of 97,665 is 64505 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1905,7347

GCF of Fractions 1905/97,7347/665 is 3/64505

3 1905, 7347
635, 2449

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1905,7347 By Matching Biggest Common Factor Method

Greatest Common Factor of 1905,7347 By Matching Biggest Common Factor Method

Factors of 1905

List of positive integer factors of 1905 that divides 1905 without a remainder.

1,3,5,15,127,381,635,1905

Factors of 7347

List of positive integer factors of 7347 that divides 7347 without a remainder.

1,3,31,79,93,237,2449,7347

Greatest Common Factor

We found the factors 1905,7347 . The biggest common factor number is the GCF number.
So the greatest common factor 1905,7347 is 3.

Lets's calculate LCM of 97,665

Given numbers has no common factors except 1. So, there LCM is their product i.e 64505

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/64505

Therefore, the GCF of Fractions 1905/97,7347/665 is 3/64505

Least Common Multiple of 97,665 with GCF Formula

Least Common Multiple of 97,665 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 97,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,665) = 1

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

GCF(97,665) x common factors =1 x 1 = 1

LCM(97,665) = ( 97 × 665 ) / 1

LCM(97,665) = 64505 / 1

LCM(97,665) = 64505


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 1905/97, 7347/665

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 1905/97, 7347/665?

Answer: GCF of Numerators as per given numbers 1905/97, 7347/665 is

GCF of Numerators i.e. for 1905,7347 is 3

LCM of denominators i.e. for 97,665 is 64505.

Thus, GCF of Fractions is 3/64505.Finally, GCF of Fractions for 1905/97, 7347/665 is 3/64505.