Greatest Common Factor of 4006/524, 9907/1418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4006/524, 9907/1418

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 4006/524,9907/1418

Given fractions are 4006/524,9907/1418

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 4006,9907

Greatest Common Factor of Numerators i.e. GCF of 4006,9907 is 1 .

LCM of Denominators means LCM of 524,1418 as per the given fractions.

LCM of 524,1418 is 371516 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4006,9907

GCF of Fractions 4006/524,9907/1418 is 1/371516

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

Greatest Common Factor of 4006,9907 By Matching Biggest Common Factor Method

Greatest Common Factor of 4006,9907 By Matching Biggest Common Factor Method

Factors of 4006

List of positive integer factors of 4006 that divides 4006 without a remainder.

1,2,2003,4006

Factors of 9907

List of positive integer factors of 9907 that divides 9907 without a remainder.

1,9907

Greatest Common Factor

We found the factors 4006,9907 . The biggest common factor number is the GCF number.
So the greatest common factor 4006,9907 is 1.

Lets's calculate LCM of 524,1418

2 524, 1418
262, 709

∴ So the LCM of the given numbers is 2 x 262 x 709 = 371516

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/371516

Therefore, the GCF of Fractions 4006/524,9907/1418 is 1/371516

Least Common Multiple of 524,1418 with GCF Formula

Least Common Multiple of 524,1418 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 524,1418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(524,1418) = 2

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

GCF(524,1418) x common factors =2 x 1 = 2

LCM(524,1418) = ( 524 × 1418 ) / 2

LCM(524,1418) = 743032 / 2

LCM(524,1418) = 371516


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 4006/524, 9907/1418

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 4006/524, 9907/1418?

Answer: GCF of Numerators as per given numbers 4006/524, 9907/1418 is

GCF of Numerators i.e. for 4006,9907 is 1

LCM of denominators i.e. for 524,1418 is 371516.

Thus, GCF of Fractions is 1/371516.Finally, GCF of Fractions for 4006/524, 9907/1418 is 1/371516.