Greatest Common Factor of 7674/205, 6902/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7674/205, 6902/554

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 7674/205,6902/554

Given fractions are 7674/205,6902/554

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 7674,6902

Greatest Common Factor of Numerators i.e. GCF of 7674,6902 is 2 .

LCM of Denominators means LCM of 205,554 as per the given fractions.

LCM of 205,554 is 113570 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7674,6902

GCF of Fractions 7674/205,6902/554 is 2/113570

2 7674, 6902
3837, 3451

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7674,6902 By Matching Biggest Common Factor Method

Greatest Common Factor of 7674,6902 By Matching Biggest Common Factor Method

Factors of 7674

List of positive integer factors of 7674 that divides 7674 without a remainder.

1,2,3,6,1279,2558,3837,7674

Factors of 6902

List of positive integer factors of 6902 that divides 6902 without a remainder.

1,2,7,14,17,29,34,58,119,203,238,406,493,986,3451,6902

Greatest Common Factor

We found the factors 7674,6902 . The biggest common factor number is the GCF number.
So the greatest common factor 7674,6902 is 2.

Lets's calculate LCM of 205,554

Given numbers has no common factors except 1. So, there LCM is their product i.e 113570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/113570

Therefore, the GCF of Fractions 7674/205,6902/554 is 2/113570

Least Common Multiple of 205,554 with GCF Formula

Least Common Multiple of 205,554 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 205,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,554) = 1

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

GCF(205,554) x common factors =1 x 1 = 1

LCM(205,554) = ( 205 × 554 ) / 1

LCM(205,554) = 113570 / 1

LCM(205,554) = 113570


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 7674/205, 6902/554

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 7674/205, 6902/554?

Answer: GCF of Numerators as per given numbers 7674/205, 6902/554 is

GCF of Numerators i.e. for 7674,6902 is 2

LCM of denominators i.e. for 205,554 is 113570.

Thus, GCF of Fractions is 2/113570.Finally, GCF of Fractions for 7674/205, 6902/554 is 2/113570.