Greatest Common Factor of 34/655, 224/999, 290/655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 34/655, 224/999, 290/655

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 34/655,224/999,290/655

Given fractions are 34/655,224/999,290/655

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 34,224,290

Greatest Common Factor of Numerators i.e. GCF of 34,224,290 is 2 .

LCM of Denominators means LCM of 655,999,655 as per the given fractions.

LCM of 655,999,655 is 654345 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 34,224,290

GCF of Fractions 34/655,224/999,290/655 is 2/654345

2 34, 224, 290
17, 112, 145

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

Greatest Common Factor of 34,224,290 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,224,290 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Greatest Common Factor

We found the factors 34,224,290 . The biggest common factor number is the GCF number.
So the greatest common factor 34,224,290 is 2.

Lets's calculate LCM of 655,999,655

5 655, 999, 655
131 131, 999, 131
1, 999, 1

∴ So the LCM of the given numbers is 5 x 131 x 1 x 999 x 1 = 654345

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/654345

Therefore, the GCF of Fractions 34/655,224/999,290/655 is 2/654345

Least Common Multiple of 655,999,655 with GCF Formula

Least Common Multiple of 655,999,655 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 655,999,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(655,999,655) = 1

common factors(in case of two or more numbers have common factors) = 655

GCF(655,999,655) x common factors =1 x 655 = 655

LCM(655,999,655) = ( 655 × 999 × 655 ) / 655

LCM(655,999,655) = 428595975 / 655

LCM(655,999,655) = 654345


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 34/655, 224/999, 290/655

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 34/655, 224/999, 290/655?

Answer: GCF of Numerators as per given numbers 34/655, 224/999, 290/655 is

GCF of Numerators i.e. for 34,224,290 is 2

LCM of denominators i.e. for 655,999,655 is 654345.

Thus, GCF of Fractions is 2/654345.Finally, GCF of Fractions for 34/655, 224/999, 290/655 is 2/654345.