Greatest Common Factor of 673/262, 5623/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 673/262, 5623/450

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 673/262,5623/450

Given fractions are 673/262,5623/450

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 673,5623

Greatest Common Factor of Numerators i.e. GCF of 673,5623 is 1 .

LCM of Denominators means LCM of 262,450 as per the given fractions.

LCM of 262,450 is 58950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 673,5623

GCF of Fractions 673/262,5623/450 is 1/58950

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

Greatest Common Factor of 673,5623 By Matching Biggest Common Factor Method

Greatest Common Factor of 673,5623 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 5623

List of positive integer factors of 5623 that divides 5623 without a remainder.

1,5623

Greatest Common Factor

We found the factors 673,5623 . The biggest common factor number is the GCF number.
So the greatest common factor 673,5623 is 1.

Lets's calculate LCM of 262,450

2 262, 450
131, 225

∴ So the LCM of the given numbers is 2 x 131 x 225 = 58950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58950

Therefore, the GCF of Fractions 673/262,5623/450 is 1/58950

Least Common Multiple of 262,450 with GCF Formula

Least Common Multiple of 262,450 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 262,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(262,450) = 2

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

GCF(262,450) x common factors =2 x 1 = 2

LCM(262,450) = ( 262 × 450 ) / 2

LCM(262,450) = 117900 / 2

LCM(262,450) = 58950


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 673/262, 5623/450

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 673/262, 5623/450?

Answer: GCF of Numerators as per given numbers 673/262, 5623/450 is

GCF of Numerators i.e. for 673,5623 is 1

LCM of denominators i.e. for 262,450 is 58950.

Thus, GCF of Fractions is 1/58950.Finally, GCF of Fractions for 673/262, 5623/450 is 1/58950.