Greatest Common Factor of 85/220, 715/906, 345/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 85/220, 715/906, 345/614

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 85/220,715/906,345/614

Given fractions are 85/220,715/906,345/614

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 85,715,345

Greatest Common Factor of Numerators i.e. GCF of 85,715,345 is 5 .

LCM of Denominators means LCM of 220,906,614 as per the given fractions.

LCM of 220,906,614 is 30595620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 85,715,345

GCF of Fractions 85/220,715/906,345/614 is 5/30595620

5 85, 715, 345
17, 143, 69

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

Greatest Common Factor of 85,715,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,715,345 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 85,715,345 . The biggest common factor number is the GCF number.
So the greatest common factor 85,715,345 is 5.

Lets's calculate LCM of 220,906,614

2 220, 906, 614
110, 453, 307

∴ So the LCM of the given numbers is 2 x 110 x 453 x 307 = 30595620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/30595620

Therefore, the GCF of Fractions 85/220,715/906,345/614 is 5/30595620

Least Common Multiple of 220,906,614 with GCF Formula

Least Common Multiple of 220,906,614 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 220,906,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,906,614) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(220,906,614) x common factors =2 x 2 = 4

LCM(220,906,614) = ( 220 × 906 × 614 ) / 4

LCM(220,906,614) = 122382480 / 4

LCM(220,906,614) = 30595620


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 85/220, 715/906, 345/614

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 85/220, 715/906, 345/614?

Answer: GCF of Numerators as per given numbers 85/220, 715/906, 345/614 is

GCF of Numerators i.e. for 85,715,345 is 5

LCM of denominators i.e. for 220,906,614 is 30595620.

Thus, GCF of Fractions is 5/30595620.Finally, GCF of Fractions for 85/220, 715/906, 345/614 is 5/30595620.