Greatest Common Factor of 4426/994, 9900/1860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4426/994, 9900/1860

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 4426/994,9900/1860

Given fractions are 4426/994,9900/1860

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 4426,9900

Greatest Common Factor of Numerators i.e. GCF of 4426,9900 is 2 .

LCM of Denominators means LCM of 994,1860 as per the given fractions.

LCM of 994,1860 is 924420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4426,9900

GCF of Fractions 4426/994,9900/1860 is 2/924420

2 4426, 9900
2213, 4950

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4426,9900 By Matching Biggest Common Factor Method

Greatest Common Factor of 4426,9900 By Matching Biggest Common Factor Method

Factors of 4426

List of positive integer factors of 4426 that divides 4426 without a remainder.

1,2,2213,4426

Factors of 9900

List of positive integer factors of 9900 that divides 9900 without a remainder.

1,2,3,4,5,6,9,10,11,12,15,18,20,22,25,30,33,36,44,45,50,55,60,66,75,90,99,100,110,132,150,165,180,198,220,225,275,300,330,396,450,495,550,660,825,900,990,1100,1650,1980,2475,3300,4950,9900

Greatest Common Factor

We found the factors 4426,9900 . The biggest common factor number is the GCF number.
So the greatest common factor 4426,9900 is 2.

Lets's calculate LCM of 994,1860

2 994, 1860
497, 930

∴ So the LCM of the given numbers is 2 x 497 x 930 = 924420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/924420

Therefore, the GCF of Fractions 4426/994,9900/1860 is 2/924420

Least Common Multiple of 994,1860 with GCF Formula

Least Common Multiple of 994,1860 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 994,1860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(994,1860) = 2

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

GCF(994,1860) x common factors =2 x 1 = 2

LCM(994,1860) = ( 994 × 1860 ) / 2

LCM(994,1860) = 1848840 / 2

LCM(994,1860) = 924420


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 4426/994, 9900/1860

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 4426/994, 9900/1860?

Answer: GCF of Numerators as per given numbers 4426/994, 9900/1860 is

GCF of Numerators i.e. for 4426,9900 is 2

LCM of denominators i.e. for 994,1860 is 924420.

Thus, GCF of Fractions is 2/924420.Finally, GCF of Fractions for 4426/994, 9900/1860 is 2/924420.