Greatest Common Factor of 6858/70, 3600/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6858/70, 3600/698

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 6858/70,3600/698

Given fractions are 6858/70,3600/698

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 6858,3600

Greatest Common Factor of Numerators i.e. GCF of 6858,3600 is 18 .

LCM of Denominators means LCM of 70,698 as per the given fractions.

LCM of 70,698 is 24430 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6858,3600

GCF of Fractions 6858/70,3600/698 is 18/24430

2 6858, 3600
3 3429, 1800
3 1143, 600
381, 200

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 6858,3600 By Matching Biggest Common Factor Method

Greatest Common Factor of 6858,3600 By Matching Biggest Common Factor Method

Factors of 6858

List of positive integer factors of 6858 that divides 6858 without a remainder.

1,2,3,6,9,18,27,54,127,254,381,762,1143,2286,3429,6858

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 6858,3600 . The biggest common factor number is the GCF number.
So the greatest common factor 6858,3600 is 18.

Lets's calculate LCM of 70,698

2 70, 698
35, 349

∴ So the LCM of the given numbers is 2 x 35 x 349 = 24430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/24430

Therefore, the GCF of Fractions 6858/70,3600/698 is 18/24430

Least Common Multiple of 70,698 with GCF Formula

Least Common Multiple of 70,698 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 70,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,698) = 2

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

GCF(70,698) x common factors =2 x 1 = 2

LCM(70,698) = ( 70 × 698 ) / 2

LCM(70,698) = 48860 / 2

LCM(70,698) = 24430


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 6858/70, 3600/698

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 6858/70, 3600/698?

Answer: GCF of Numerators as per given numbers 6858/70, 3600/698 is

GCF of Numerators i.e. for 6858,3600 is 18

LCM of denominators i.e. for 70,698 is 24430.

Thus, GCF of Fractions is 18/24430.Finally, GCF of Fractions for 6858/70, 3600/698 is 18/24430.