Greatest Common Factor of 4322/650, 2699/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4322/650, 2699/840

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 4322/650,2699/840

Given fractions are 4322/650,2699/840

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 4322,2699

Greatest Common Factor of Numerators i.e. GCF of 4322,2699 is 1 .

LCM of Denominators means LCM of 650,840 as per the given fractions.

LCM of 650,840 is 54600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4322,2699

GCF of Fractions 4322/650,2699/840 is 1/54600

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

Greatest Common Factor of 4322,2699 By Matching Biggest Common Factor Method

Greatest Common Factor of 4322,2699 By Matching Biggest Common Factor Method

Factors of 4322

List of positive integer factors of 4322 that divides 4322 without a remainder.

1,2,2161,4322

Factors of 2699

List of positive integer factors of 2699 that divides 2699 without a remainder.

1,2699

Greatest Common Factor

We found the factors 4322,2699 . The biggest common factor number is the GCF number.
So the greatest common factor 4322,2699 is 1.

Lets's calculate LCM of 650,840

2 650, 840
5 325, 420
65, 84

∴ So the LCM of the given numbers is 2 x 5 x 65 x 84 = 54600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54600

Therefore, the GCF of Fractions 4322/650,2699/840 is 1/54600

Least Common Multiple of 650,840 with GCF Formula

Least Common Multiple of 650,840 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 650,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(650,840) = 10

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

GCF(650,840) x common factors =10 x 1 = 10

LCM(650,840) = ( 650 × 840 ) / 10

LCM(650,840) = 546000 / 10

LCM(650,840) = 54600


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 4322/650, 2699/840

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 4322/650, 2699/840?

Answer: GCF of Numerators as per given numbers 4322/650, 2699/840 is

GCF of Numerators i.e. for 4322,2699 is 1

LCM of denominators i.e. for 650,840 is 54600.

Thus, GCF of Fractions is 1/54600.Finally, GCF of Fractions for 4322/650, 2699/840 is 1/54600.