Greatest Common Factor of 673/242, 3550/7628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 673/242, 3550/7628

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 673/242,3550/7628

Given fractions are 673/242,3550/7628

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 673,3550

Greatest Common Factor of Numerators i.e. GCF of 673,3550 is 1 .

LCM of Denominators means LCM of 242,7628 as per the given fractions.

LCM of 242,7628 is 922988 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 673,3550

GCF of Fractions 673/242,3550/7628 is 1/922988

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

Greatest Common Factor of 673,3550 By Matching Biggest Common Factor Method

Greatest Common Factor of 673,3550 By Matching Biggest Common Factor Method

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Factors of 3550

List of positive integer factors of 3550 that divides 3550 without a remainder.

1,2,5,10,25,50,71,142,355,710,1775,3550

Greatest Common Factor

We found the factors 673,3550 . The biggest common factor number is the GCF number.
So the greatest common factor 673,3550 is 1.

Lets's calculate LCM of 242,7628

2 242, 7628
121, 3814

∴ So the LCM of the given numbers is 2 x 121 x 3814 = 922988

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/922988

Therefore, the GCF of Fractions 673/242,3550/7628 is 1/922988

Least Common Multiple of 242,7628 with GCF Formula

Least Common Multiple of 242,7628 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 242,7628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,7628) = 2

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

GCF(242,7628) x common factors =2 x 1 = 2

LCM(242,7628) = ( 242 × 7628 ) / 2

LCM(242,7628) = 1845976 / 2

LCM(242,7628) = 922988


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 673/242, 3550/7628

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 673/242, 3550/7628?

Answer: GCF of Numerators as per given numbers 673/242, 3550/7628 is

GCF of Numerators i.e. for 673,3550 is 1

LCM of denominators i.e. for 242,7628 is 922988.

Thus, GCF of Fractions is 1/922988.Finally, GCF of Fractions for 673/242, 3550/7628 is 1/922988.