Greatest Common Factor of 1007/31, 3606/839

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1007/31, 3606/839

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 1007/31,3606/839

Given fractions are 1007/31,3606/839

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 1007,3606

Greatest Common Factor of Numerators i.e. GCF of 1007,3606 is 1 .

LCM of Denominators means LCM of 31,839 as per the given fractions.

LCM of 31,839 is 26009 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1007,3606

GCF of Fractions 1007/31,3606/839 is 1/26009

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

Greatest Common Factor of 1007,3606 By Matching Biggest Common Factor Method

Greatest Common Factor of 1007,3606 By Matching Biggest Common Factor Method

Factors of 1007

List of positive integer factors of 1007 that divides 1007 without a remainder.

1,19,53,1007

Factors of 3606

List of positive integer factors of 3606 that divides 3606 without a remainder.

1,2,3,6,601,1202,1803,3606

Greatest Common Factor

We found the factors 1007,3606 . The biggest common factor number is the GCF number.
So the greatest common factor 1007,3606 is 1.

Lets's calculate LCM of 31,839

Given numbers has no common factors except 1. So, there LCM is their product i.e 26009

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26009

Therefore, the GCF of Fractions 1007/31,3606/839 is 1/26009

Least Common Multiple of 31,839 with GCF Formula

Least Common Multiple of 31,839 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 31,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,839) = 1

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

GCF(31,839) x common factors =1 x 1 = 1

LCM(31,839) = ( 31 × 839 ) / 1

LCM(31,839) = 26009 / 1

LCM(31,839) = 26009


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 1007/31, 3606/839

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 1007/31, 3606/839?

Answer: GCF of Numerators as per given numbers 1007/31, 3606/839 is

GCF of Numerators i.e. for 1007,3606 is 1

LCM of denominators i.e. for 31,839 is 26009.

Thus, GCF of Fractions is 1/26009.Finally, GCF of Fractions for 1007/31, 3606/839 is 1/26009.