Greatest Common Factor of 4741/980, 5145/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4741/980, 5145/999

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 4741/980,5145/999

Given fractions are 4741/980,5145/999

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 4741,5145

Greatest Common Factor of Numerators i.e. GCF of 4741,5145 is 1 .

LCM of Denominators means LCM of 980,999 as per the given fractions.

LCM of 980,999 is 979020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4741,5145

GCF of Fractions 4741/980,5145/999 is 1/979020

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

Greatest Common Factor of 4741,5145 By Matching Biggest Common Factor Method

Greatest Common Factor of 4741,5145 By Matching Biggest Common Factor Method

Factors of 4741

List of positive integer factors of 4741 that divides 4741 without a remainder.

1,11,431,4741

Factors of 5145

List of positive integer factors of 5145 that divides 5145 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,343,735,1029,1715,5145

Greatest Common Factor

We found the factors 4741,5145 . The biggest common factor number is the GCF number.
So the greatest common factor 4741,5145 is 1.

Lets's calculate LCM of 980,999

Given numbers has no common factors except 1. So, there LCM is their product i.e 979020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/979020

Therefore, the GCF of Fractions 4741/980,5145/999 is 1/979020

Least Common Multiple of 980,999 with GCF Formula

Least Common Multiple of 980,999 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 980,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,999) = 1

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

GCF(980,999) x common factors =1 x 1 = 1

LCM(980,999) = ( 980 × 999 ) / 1

LCM(980,999) = 979020 / 1

LCM(980,999) = 979020


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 4741/980, 5145/999

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 4741/980, 5145/999?

Answer: GCF of Numerators as per given numbers 4741/980, 5145/999 is

GCF of Numerators i.e. for 4741,5145 is 1

LCM of denominators i.e. for 980,999 is 979020.

Thus, GCF of Fractions is 1/979020.Finally, GCF of Fractions for 4741/980, 5145/999 is 1/979020.