Greatest Common Factor of 980/41, 901/49, 428/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 980/41, 901/49, 428/891

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 980/41,901/49,428/891

Given fractions are 980/41,901/49,428/891

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 980,901,428

Greatest Common Factor of Numerators i.e. GCF of 980,901,428 is 1 .

LCM of Denominators means LCM of 41,49,891 as per the given fractions.

LCM of 41,49,891 is 1790019 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 980,901,428

GCF of Fractions 980/41,901/49,428/891 is 1/1790019

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

Greatest Common Factor of 980,901,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,901,428 By Matching Biggest Common Factor Method

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 980,901,428 . The biggest common factor number is the GCF number.
So the greatest common factor 980,901,428 is 1.

Lets's calculate LCM of 41,49,891

Given numbers has no common factors except 1. So, there LCM is their product i.e 1790019

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1790019

Therefore, the GCF of Fractions 980/41,901/49,428/891 is 1/1790019

Least Common Multiple of 41,49,891 with GCF Formula

Least Common Multiple of 41,49,891 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 41,49,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,49,891) = 1

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

GCF(41,49,891) x common factors =1 x 1 = 1

LCM(41,49,891) = ( 41 × 49 × 891 ) / 1

LCM(41,49,891) = 1790019 / 1

LCM(41,49,891) = 1790019


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 980/41, 901/49, 428/891

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 980/41, 901/49, 428/891?

Answer: GCF of Numerators as per given numbers 980/41, 901/49, 428/891 is

GCF of Numerators i.e. for 980,901,428 is 1

LCM of denominators i.e. for 41,49,891 is 1790019.

Thus, GCF of Fractions is 1/1790019.Finally, GCF of Fractions for 980/41, 901/49, 428/891 is 1/1790019.