Greatest Common Factor of 8318/700, 3512/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8318/700, 3512/210

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 8318/700,3512/210

Given fractions are 8318/700,3512/210

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 8318,3512

Greatest Common Factor of Numerators i.e. GCF of 8318,3512 is 2 .

LCM of Denominators means LCM of 700,210 as per the given fractions.

LCM of 700,210 is 2100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8318,3512

GCF of Fractions 8318/700,3512/210 is 2/2100

2 8318, 3512
4159, 1756

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

Greatest Common Factor of 8318,3512 By Matching Biggest Common Factor Method

Greatest Common Factor of 8318,3512 By Matching Biggest Common Factor Method

Factors of 8318

List of positive integer factors of 8318 that divides 8318 without a remainder.

1,2,4159,8318

Factors of 3512

List of positive integer factors of 3512 that divides 3512 without a remainder.

1,2,4,8,439,878,1756,3512

Greatest Common Factor

We found the factors 8318,3512 . The biggest common factor number is the GCF number.
So the greatest common factor 8318,3512 is 2.

Lets's calculate LCM of 700,210

2 700, 210
5 350, 105
7 70, 21
10, 3

∴ So the LCM of the given numbers is 2 x 5 x 7 x 10 x 3 = 2100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2100

Therefore, the GCF of Fractions 8318/700,3512/210 is 2/2100

Least Common Multiple of 700,210 with GCF Formula

Least Common Multiple of 700,210 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 700,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,210) = 70

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

GCF(700,210) x common factors =70 x 1 = 70

LCM(700,210) = ( 700 × 210 ) / 70

LCM(700,210) = 147000 / 70

LCM(700,210) = 2100


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 8318/700, 3512/210

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 8318/700, 3512/210?

Answer: GCF of Numerators as per given numbers 8318/700, 3512/210 is

GCF of Numerators i.e. for 8318,3512 is 2

LCM of denominators i.e. for 700,210 is 2100.

Thus, GCF of Fractions is 2/2100.Finally, GCF of Fractions for 8318/700, 3512/210 is 2/2100.