Greatest Common Factor of 1006/179, 5700/629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1006/179, 5700/629

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 1006/179,5700/629

Given fractions are 1006/179,5700/629

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 1006,5700

Greatest Common Factor of Numerators i.e. GCF of 1006,5700 is 2 .

LCM of Denominators means LCM of 179,629 as per the given fractions.

LCM of 179,629 is 112591 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1006,5700

GCF of Fractions 1006/179,5700/629 is 2/112591

2 1006, 5700
503, 2850

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

Greatest Common Factor of 1006,5700 By Matching Biggest Common Factor Method

Greatest Common Factor of 1006,5700 By Matching Biggest Common Factor Method

Factors of 1006

List of positive integer factors of 1006 that divides 1006 without a remainder.

1,2,503,1006

Factors of 5700

List of positive integer factors of 5700 that divides 5700 without a remainder.

1,2,3,4,5,6,10,12,15,19,20,25,30,38,50,57,60,75,76,95,100,114,150,190,228,285,300,380,475,570,950,1140,1425,1900,2850,5700

Greatest Common Factor

We found the factors 1006,5700 . The biggest common factor number is the GCF number.
So the greatest common factor 1006,5700 is 2.

Lets's calculate LCM of 179,629

Given numbers has no common factors except 1. So, there LCM is their product i.e 112591

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/112591

Therefore, the GCF of Fractions 1006/179,5700/629 is 2/112591

Least Common Multiple of 179,629 with GCF Formula

Least Common Multiple of 179,629 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 179,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(179,629) = 1

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

GCF(179,629) x common factors =1 x 1 = 1

LCM(179,629) = ( 179 × 629 ) / 1

LCM(179,629) = 112591 / 1

LCM(179,629) = 112591


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 1006/179, 5700/629

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 1006/179, 5700/629?

Answer: GCF of Numerators as per given numbers 1006/179, 5700/629 is

GCF of Numerators i.e. for 1006,5700 is 2

LCM of denominators i.e. for 179,629 is 112591.

Thus, GCF of Fractions is 2/112591.Finally, GCF of Fractions for 1006/179, 5700/629 is 2/112591.