Greatest Common Factor of 7354/674, 1907/577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7354/674, 1907/577

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 7354/674,1907/577

Given fractions are 7354/674,1907/577

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 7354,1907

Greatest Common Factor of Numerators i.e. GCF of 7354,1907 is 1 .

LCM of Denominators means LCM of 674,577 as per the given fractions.

LCM of 674,577 is 388898 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7354,1907

GCF of Fractions 7354/674,1907/577 is 1/388898

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

Greatest Common Factor of 7354,1907 By Matching Biggest Common Factor Method

Greatest Common Factor of 7354,1907 By Matching Biggest Common Factor Method

Factors of 7354

List of positive integer factors of 7354 that divides 7354 without a remainder.

1,2,3677,7354

Factors of 1907

List of positive integer factors of 1907 that divides 1907 without a remainder.

1,1907

Greatest Common Factor

We found the factors 7354,1907 . The biggest common factor number is the GCF number.
So the greatest common factor 7354,1907 is 1.

Lets's calculate LCM of 674,577

Given numbers has no common factors except 1. So, there LCM is their product i.e 388898

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/388898

Therefore, the GCF of Fractions 7354/674,1907/577 is 1/388898

Least Common Multiple of 674,577 with GCF Formula

Least Common Multiple of 674,577 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 674,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(674,577) = 1

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

GCF(674,577) x common factors =1 x 1 = 1

LCM(674,577) = ( 674 × 577 ) / 1

LCM(674,577) = 388898 / 1

LCM(674,577) = 388898


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 7354/674, 1907/577

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 7354/674, 1907/577?

Answer: GCF of Numerators as per given numbers 7354/674, 1907/577 is

GCF of Numerators i.e. for 7354,1907 is 1

LCM of denominators i.e. for 674,577 is 388898.

Thus, GCF of Fractions is 1/388898.Finally, GCF of Fractions for 7354/674, 1907/577 is 1/388898.