Greatest Common Factor of 3893/457, 2279/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3893/457, 2279/140

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 3893/457,2279/140

Given fractions are 3893/457,2279/140

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 3893,2279

Greatest Common Factor of Numerators i.e. GCF of 3893,2279 is 1 .

LCM of Denominators means LCM of 457,140 as per the given fractions.

LCM of 457,140 is 63980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3893,2279

GCF of Fractions 3893/457,2279/140 is 1/63980

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

Greatest Common Factor of 3893,2279 By Matching Biggest Common Factor Method

Greatest Common Factor of 3893,2279 By Matching Biggest Common Factor Method

Factors of 3893

List of positive integer factors of 3893 that divides 3893 without a remainder.

1,17,229,3893

Factors of 2279

List of positive integer factors of 2279 that divides 2279 without a remainder.

1,43,53,2279

Greatest Common Factor

We found the factors 3893,2279 . The biggest common factor number is the GCF number.
So the greatest common factor 3893,2279 is 1.

Lets's calculate LCM of 457,140

Given numbers has no common factors except 1. So, there LCM is their product i.e 63980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63980

Therefore, the GCF of Fractions 3893/457,2279/140 is 1/63980

Least Common Multiple of 457,140 with GCF Formula

Least Common Multiple of 457,140 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 457,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(457,140) = 1

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

GCF(457,140) x common factors =1 x 1 = 1

LCM(457,140) = ( 457 × 140 ) / 1

LCM(457,140) = 63980 / 1

LCM(457,140) = 63980


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 3893/457, 2279/140

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 3893/457, 2279/140?

Answer: GCF of Numerators as per given numbers 3893/457, 2279/140 is

GCF of Numerators i.e. for 3893,2279 is 1

LCM of denominators i.e. for 457,140 is 63980.

Thus, GCF of Fractions is 1/63980.Finally, GCF of Fractions for 3893/457, 2279/140 is 1/63980.