Greatest Common Factor of 385/590, 349/436, 880/639

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 385/590, 349/436, 880/639

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 385/590,349/436,880/639

Given fractions are 385/590,349/436,880/639

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 385,349,880

Greatest Common Factor of Numerators i.e. GCF of 385,349,880 is 1 .

LCM of Denominators means LCM of 590,436,639 as per the given fractions.

LCM of 590,436,639 is 82188180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 385,349,880

GCF of Fractions 385/590,349/436,880/639 is 1/82188180

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

Greatest Common Factor of 385,349,880 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,349,880 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 385,349,880 . The biggest common factor number is the GCF number.
So the greatest common factor 385,349,880 is 1.

Lets's calculate LCM of 590,436,639

2 590, 436, 639
295, 218, 639

∴ So the LCM of the given numbers is 2 x 295 x 218 x 639 = 82188180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82188180

Therefore, the GCF of Fractions 385/590,349/436,880/639 is 1/82188180

Least Common Multiple of 590,436,639 with GCF Formula

Least Common Multiple of 590,436,639 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 590,436,639 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(590,436,639) = 1

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

GCF(590,436,639) x common factors =1 x 2 = 2

LCM(590,436,639) = ( 590 × 436 × 639 ) / 2

LCM(590,436,639) = 164376360 / 2

LCM(590,436,639) = 82188180


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 385/590, 349/436, 880/639

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 385/590, 349/436, 880/639?

Answer: GCF of Numerators as per given numbers 385/590, 349/436, 880/639 is

GCF of Numerators i.e. for 385,349,880 is 1

LCM of denominators i.e. for 590,436,639 is 82188180.

Thus, GCF of Fractions is 1/82188180.Finally, GCF of Fractions for 385/590, 349/436, 880/639 is 1/82188180.