Greatest Common Factor of 489/190, 8741/695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 489/190, 8741/695

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 489/190,8741/695

Given fractions are 489/190,8741/695

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 489,8741

Greatest Common Factor of Numerators i.e. GCF of 489,8741 is 1 .

LCM of Denominators means LCM of 190,695 as per the given fractions.

LCM of 190,695 is 26410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 489,8741

GCF of Fractions 489/190,8741/695 is 1/26410

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

Greatest Common Factor of 489,8741 By Matching Biggest Common Factor Method

Greatest Common Factor of 489,8741 By Matching Biggest Common Factor Method

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 8741

List of positive integer factors of 8741 that divides 8741 without a remainder.

1,8741

Greatest Common Factor

We found the factors 489,8741 . The biggest common factor number is the GCF number.
So the greatest common factor 489,8741 is 1.

Lets's calculate LCM of 190,695

5 190, 695
38, 139

∴ So the LCM of the given numbers is 5 x 38 x 139 = 26410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26410

Therefore, the GCF of Fractions 489/190,8741/695 is 1/26410

Least Common Multiple of 190,695 with GCF Formula

Least Common Multiple of 190,695 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 190,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(190,695) = 5

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

GCF(190,695) x common factors =5 x 1 = 5

LCM(190,695) = ( 190 × 695 ) / 5

LCM(190,695) = 132050 / 5

LCM(190,695) = 26410


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 489/190, 8741/695

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 489/190, 8741/695?

Answer: GCF of Numerators as per given numbers 489/190, 8741/695 is

GCF of Numerators i.e. for 489,8741 is 1

LCM of denominators i.e. for 190,695 is 26410.

Thus, GCF of Fractions is 1/26410.Finally, GCF of Fractions for 489/190, 8741/695 is 1/26410.