Greatest Common Factor of 346/574, 665/419, 524/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 346/574, 665/419, 524/427

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 346/574,665/419,524/427

Given fractions are 346/574,665/419,524/427

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 346,665,524

Greatest Common Factor of Numerators i.e. GCF of 346,665,524 is 1 .

LCM of Denominators means LCM of 574,419,427 as per the given fractions.

LCM of 574,419,427 is 14670866 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 346,665,524

GCF of Fractions 346/574,665/419,524/427 is 1/14670866

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

Greatest Common Factor of 346,665,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 346,665,524 By Matching Biggest Common Factor Method

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Greatest Common Factor

We found the factors 346,665,524 . The biggest common factor number is the GCF number.
So the greatest common factor 346,665,524 is 1.

Lets's calculate LCM of 574,419,427

7 574, 419, 427
82, 419, 61

∴ So the LCM of the given numbers is 7 x 82 x 419 x 61 = 14670866

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14670866

Therefore, the GCF of Fractions 346/574,665/419,524/427 is 1/14670866

Least Common Multiple of 574,419,427 with GCF Formula

Least Common Multiple of 574,419,427 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 574,419,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(574,419,427) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(574,419,427) x common factors =1 x 7 = 7

LCM(574,419,427) = ( 574 × 419 × 427 ) / 7

LCM(574,419,427) = 102696062 / 7

LCM(574,419,427) = 14670866


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 346/574, 665/419, 524/427

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 346/574, 665/419, 524/427?

Answer: GCF of Numerators as per given numbers 346/574, 665/419, 524/427 is

GCF of Numerators i.e. for 346,665,524 is 1

LCM of denominators i.e. for 574,419,427 is 14670866.

Thus, GCF of Fractions is 1/14670866.Finally, GCF of Fractions for 346/574, 665/419, 524/427 is 1/14670866.