Greatest Common Factor of 2123/28, 7235/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2123/28, 7235/414

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 2123/28,7235/414

Given fractions are 2123/28,7235/414

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 2123,7235

Greatest Common Factor of Numerators i.e. GCF of 2123,7235 is 1 .

LCM of Denominators means LCM of 28,414 as per the given fractions.

LCM of 28,414 is 5796 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2123,7235

GCF of Fractions 2123/28,7235/414 is 1/5796

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

Greatest Common Factor of 2123,7235 By Matching Biggest Common Factor Method

Greatest Common Factor of 2123,7235 By Matching Biggest Common Factor Method

Factors of 2123

List of positive integer factors of 2123 that divides 2123 without a remainder.

1,11,193,2123

Factors of 7235

List of positive integer factors of 7235 that divides 7235 without a remainder.

1,5,1447,7235

Greatest Common Factor

We found the factors 2123,7235 . The biggest common factor number is the GCF number.
So the greatest common factor 2123,7235 is 1.

Lets's calculate LCM of 28,414

2 28, 414
14, 207

∴ So the LCM of the given numbers is 2 x 14 x 207 = 5796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5796

Therefore, the GCF of Fractions 2123/28,7235/414 is 1/5796

Least Common Multiple of 28,414 with GCF Formula

Least Common Multiple of 28,414 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 28,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,414) = 2

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

GCF(28,414) x common factors =2 x 1 = 2

LCM(28,414) = ( 28 × 414 ) / 2

LCM(28,414) = 11592 / 2

LCM(28,414) = 5796


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 2123/28, 7235/414

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 2123/28, 7235/414?

Answer: GCF of Numerators as per given numbers 2123/28, 7235/414 is

GCF of Numerators i.e. for 2123,7235 is 1

LCM of denominators i.e. for 28,414 is 5796.

Thus, GCF of Fractions is 1/5796.Finally, GCF of Fractions for 2123/28, 7235/414 is 1/5796.