Greatest Common Factor of 685/64, 309/92, 900/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 685/64, 309/92, 900/690

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 685/64,309/92,900/690

Given fractions are 685/64,309/92,900/690

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 685,309,900

Greatest Common Factor of Numerators i.e. GCF of 685,309,900 is 1 .

LCM of Denominators means LCM of 64,92,690 as per the given fractions.

LCM of 64,92,690 is 22080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 685,309,900

GCF of Fractions 685/64,309/92,900/690 is 1/22080

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 685,309,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 685,309,900 By Matching Biggest Common Factor Method

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 685,309,900 . The biggest common factor number is the GCF number.
So the greatest common factor 685,309,900 is 1.

Lets's calculate LCM of 64,92,690

2 64, 92, 690
2 32, 46, 345
23 16, 23, 345
16, 1, 15

∴ So the LCM of the given numbers is 2 x 2 x 23 x 16 x 1 x 15 = 22080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22080

Therefore, the GCF of Fractions 685/64,309/92,900/690 is 1/22080

Least Common Multiple of 64,92,690 with GCF Formula

Least Common Multiple of 64,92,690 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 64,92,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,92,690) = 2

common factors(in case of two or more numbers have common factors) = 92

GCF(64,92,690) x common factors =2 x 92 = 184

LCM(64,92,690) = ( 64 × 92 × 690 ) / 184

LCM(64,92,690) = 4062720 / 184

LCM(64,92,690) = 22080


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 685/64, 309/92, 900/690

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 685/64, 309/92, 900/690?

Answer: GCF of Numerators as per given numbers 685/64, 309/92, 900/690 is

GCF of Numerators i.e. for 685,309,900 is 1

LCM of denominators i.e. for 64,92,690 is 22080.

Thus, GCF of Fractions is 1/22080.Finally, GCF of Fractions for 685/64, 309/92, 900/690 is 1/22080.