Greatest Common Factor of 4142/698, 1901/2138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4142/698, 1901/2138

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 4142/698,1901/2138

Given fractions are 4142/698,1901/2138

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 4142,1901

Greatest Common Factor of Numerators i.e. GCF of 4142,1901 is 1 .

LCM of Denominators means LCM of 698,2138 as per the given fractions.

LCM of 698,2138 is 746162 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4142,1901

GCF of Fractions 4142/698,1901/2138 is 1/746162

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

Greatest Common Factor of 4142,1901 By Matching Biggest Common Factor Method

Greatest Common Factor of 4142,1901 By Matching Biggest Common Factor Method

Factors of 4142

List of positive integer factors of 4142 that divides 4142 without a remainder.

1,2,19,38,109,218,2071,4142

Factors of 1901

List of positive integer factors of 1901 that divides 1901 without a remainder.

1,1901

Greatest Common Factor

We found the factors 4142,1901 . The biggest common factor number is the GCF number.
So the greatest common factor 4142,1901 is 1.

Lets's calculate LCM of 698,2138

2 698, 2138
349, 1069

∴ So the LCM of the given numbers is 2 x 349 x 1069 = 746162

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/746162

Therefore, the GCF of Fractions 4142/698,1901/2138 is 1/746162

Least Common Multiple of 698,2138 with GCF Formula

Least Common Multiple of 698,2138 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 698,2138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,2138) = 2

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

GCF(698,2138) x common factors =2 x 1 = 2

LCM(698,2138) = ( 698 × 2138 ) / 2

LCM(698,2138) = 1492324 / 2

LCM(698,2138) = 746162


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 4142/698, 1901/2138

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 4142/698, 1901/2138?

Answer: GCF of Numerators as per given numbers 4142/698, 1901/2138 is

GCF of Numerators i.e. for 4142,1901 is 1

LCM of denominators i.e. for 698,2138 is 746162.

Thus, GCF of Fractions is 1/746162.Finally, GCF of Fractions for 4142/698, 1901/2138 is 1/746162.