Greatest Common Factor of 1454/142, 1231/5292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1454/142, 1231/5292

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 1454/142,1231/5292

Given fractions are 1454/142,1231/5292

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 1454,1231

Greatest Common Factor of Numerators i.e. GCF of 1454,1231 is 1 .

LCM of Denominators means LCM of 142,5292 as per the given fractions.

LCM of 142,5292 is 375732 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1454,1231

GCF of Fractions 1454/142,1231/5292 is 1/375732

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

Greatest Common Factor of 1454,1231 By Matching Biggest Common Factor Method

Greatest Common Factor of 1454,1231 By Matching Biggest Common Factor Method

Factors of 1454

List of positive integer factors of 1454 that divides 1454 without a remainder.

1,2,727,1454

Factors of 1231

List of positive integer factors of 1231 that divides 1231 without a remainder.

1,1231

Greatest Common Factor

We found the factors 1454,1231 . The biggest common factor number is the GCF number.
So the greatest common factor 1454,1231 is 1.

Lets's calculate LCM of 142,5292

2 142, 5292
71, 2646

∴ So the LCM of the given numbers is 2 x 71 x 2646 = 375732

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/375732

Therefore, the GCF of Fractions 1454/142,1231/5292 is 1/375732

Least Common Multiple of 142,5292 with GCF Formula

Least Common Multiple of 142,5292 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 142,5292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,5292) = 2

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

GCF(142,5292) x common factors =2 x 1 = 2

LCM(142,5292) = ( 142 × 5292 ) / 2

LCM(142,5292) = 751464 / 2

LCM(142,5292) = 375732


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 1454/142, 1231/5292

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 1454/142, 1231/5292?

Answer: GCF of Numerators as per given numbers 1454/142, 1231/5292 is

GCF of Numerators i.e. for 1454,1231 is 1

LCM of denominators i.e. for 142,5292 is 375732.

Thus, GCF of Fractions is 1/375732.Finally, GCF of Fractions for 1454/142, 1231/5292 is 1/375732.