Greatest Common Factor of 2007/996, 9607/1602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 2007/996, 9607/1602

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 2007/996,9607/1602

Given fractions are 2007/996,9607/1602

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 2007,9607

Greatest Common Factor of Numerators i.e. GCF of 2007,9607 is 1 .

LCM of Denominators means LCM of 996,1602 as per the given fractions.

LCM of 996,1602 is 265932 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2007,9607

GCF of Fractions 2007/996,9607/1602 is 1/265932

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

Greatest Common Factor of 2007,9607 By Matching Biggest Common Factor Method

Greatest Common Factor of 2007,9607 By Matching Biggest Common Factor Method

Factors of 2007

List of positive integer factors of 2007 that divides 2007 without a remainder.

1,3,9,223,669,2007

Factors of 9607

List of positive integer factors of 9607 that divides 9607 without a remainder.

1,13,739,9607

Greatest Common Factor

We found the factors 2007,9607 . The biggest common factor number is the GCF number.
So the greatest common factor 2007,9607 is 1.


Lets's calculate LCM of 996,1602

2 996, 1602
3 498, 801
166, 267

∴ So the LCM of the given numbers is 2 x 3 x 166 x 267 = 265932

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/265932

Therefore, the GCF of Fractions 2007/996,9607/1602 is 1/265932

Least Common Multiple of 996,1602 with GCF Formula

Least Common Multiple of 996,1602 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 996,1602 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,1602) = 6

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

GCF(996,1602) x common factors =6 x 1 = 6

LCM(996,1602) = ( 996 × 1602 ) / 6

LCM(996,1602) = 1595592 / 6

LCM(996,1602) = 265932


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 2007/996, 9607/1602

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 2007/996, 9607/1602?

Answer: GCF of Numerators as per given numbers 2007/996, 9607/1602 is

GCF of Numerators i.e. for 2007,9607 is 1

LCM of denominators i.e. for 996,1602 is 265932.

Thus, GCF of Fractions is 1/265932.Finally, GCF of Fractions for 2007/996, 9607/1602 is 1/265932.