Greatest Common Factor of 4001/92, 3600/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4001/92, 3600/988

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 4001/92,3600/988

Given fractions are 4001/92,3600/988

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 4001,3600

Greatest Common Factor of Numerators i.e. GCF of 4001,3600 is 1 .

LCM of Denominators means LCM of 92,988 as per the given fractions.

LCM of 92,988 is 22724 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4001,3600

GCF of Fractions 4001/92,3600/988 is 1/22724

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

Greatest Common Factor of 4001,3600 By Matching Biggest Common Factor Method

Greatest Common Factor of 4001,3600 By Matching Biggest Common Factor Method

Factors of 4001

List of positive integer factors of 4001 that divides 4001 without a remainder.

1,4001

Factors of 3600

List of positive integer factors of 3600 that divides 3600 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,30,36,40,45,48,50,60,72,75,80,90,100,120,144,150,180,200,225,240,300,360,400,450,600,720,900,1200,1800,3600

Greatest Common Factor

We found the factors 4001,3600 . The biggest common factor number is the GCF number.
So the greatest common factor 4001,3600 is 1.

Lets's calculate LCM of 92,988

2 92, 988
2 46, 494
23, 247

∴ So the LCM of the given numbers is 2 x 2 x 23 x 247 = 22724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22724

Therefore, the GCF of Fractions 4001/92,3600/988 is 1/22724

Least Common Multiple of 92,988 with GCF Formula

Least Common Multiple of 92,988 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 92,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,988) = 4

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

GCF(92,988) x common factors =4 x 1 = 4

LCM(92,988) = ( 92 × 988 ) / 4

LCM(92,988) = 90896 / 4

LCM(92,988) = 22724


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 4001/92, 3600/988

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 4001/92, 3600/988?

Answer: GCF of Numerators as per given numbers 4001/92, 3600/988 is

GCF of Numerators i.e. for 4001,3600 is 1

LCM of denominators i.e. for 92,988 is 22724.

Thus, GCF of Fractions is 1/22724.Finally, GCF of Fractions for 4001/92, 3600/988 is 1/22724.