Greatest Common Factor of 345/85, 684/566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 345/85, 684/566

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 345/85,684/566

Given fractions are 345/85,684/566

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 345,684

Greatest Common Factor of Numerators i.e. GCF of 345,684 is 3 .

LCM of Denominators means LCM of 85,566 as per the given fractions.

LCM of 85,566 is 48110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 345,684

GCF of Fractions 345/85,684/566 is 3/48110

3 345, 684
115, 228

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 345,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,684 By Matching Biggest Common Factor Method

Factors of 345

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

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

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 345,684 . The biggest common factor number is the GCF number.
So the greatest common factor 345,684 is 3.

Lets's calculate LCM of 85,566

Given numbers has no common factors except 1. So, there LCM is their product i.e 48110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/48110

Therefore, the GCF of Fractions 345/85,684/566 is 3/48110

Least Common Multiple of 85,566 with GCF Formula

Least Common Multiple of 85,566 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 85,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,566) = 1

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

GCF(85,566) x common factors =1 x 1 = 1

LCM(85,566) = ( 85 × 566 ) / 1

LCM(85,566) = 48110 / 1

LCM(85,566) = 48110


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 345/85, 684/566

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 345/85, 684/566?

Answer: GCF of Numerators as per given numbers 345/85, 684/566 is

GCF of Numerators i.e. for 345,684 is 3

LCM of denominators i.e. for 85,566 is 48110.

Thus, GCF of Fractions is 3/48110.Finally, GCF of Fractions for 345/85, 684/566 is 3/48110.