Greatest Common Factor of 70/343, 945/204, 610/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/343, 945/204, 610/216

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 70/343,945/204,610/216

Given fractions are 70/343,945/204,610/216

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 70,945,610

Greatest Common Factor of Numerators i.e. GCF of 70,945,610 is 5 .

LCM of Denominators means LCM of 343,204,216 as per the given fractions.

LCM of 343,204,216 is 1259496 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,945,610

GCF of Fractions 70/343,945/204,610/216 is 5/1259496

5 70, 945, 610
14, 189, 122

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 70,945,610 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,945,610 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors 70,945,610 . The biggest common factor number is the GCF number.
So the greatest common factor 70,945,610 is 5.

Lets's calculate LCM of 343,204,216

2 343, 204, 216
2 343, 102, 108
3 343, 51, 54
343, 17, 18

∴ So the LCM of the given numbers is 2 x 2 x 3 x 343 x 17 x 18 = 1259496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1259496

Therefore, the GCF of Fractions 70/343,945/204,610/216 is 5/1259496

Least Common Multiple of 343,204,216 with GCF Formula

Least Common Multiple of 343,204,216 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 343,204,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,204,216) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(343,204,216) x common factors =1 x 12 = 12

LCM(343,204,216) = ( 343 × 204 × 216 ) / 12

LCM(343,204,216) = 15113952 / 12

LCM(343,204,216) = 1259496


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 70/343, 945/204, 610/216

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 70/343, 945/204, 610/216?

Answer: GCF of Numerators as per given numbers 70/343, 945/204, 610/216 is

GCF of Numerators i.e. for 70,945,610 is 5

LCM of denominators i.e. for 343,204,216 is 1259496.

Thus, GCF of Fractions is 5/1259496.Finally, GCF of Fractions for 70/343, 945/204, 610/216 is 5/1259496.