Greatest Common Factor of 360/414, 602/612, 319/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 360/414, 602/612, 319/858

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 360/414,602/612,319/858

Given fractions are 360/414,602/612,319/858

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 360,602,319

Greatest Common Factor of Numerators i.e. GCF of 360,602,319 is 1 .

LCM of Denominators means LCM of 414,612,858 as per the given fractions.

LCM of 414,612,858 is 2012868 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 360,602,319

GCF of Fractions 360/414,602/612,319/858 is 1/2012868

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

Greatest Common Factor of 360,602,319 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,602,319 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Greatest Common Factor

We found the factors 360,602,319 . The biggest common factor number is the GCF number.
So the greatest common factor 360,602,319 is 1.

Lets's calculate LCM of 414,612,858

2 414, 612, 858
3 207, 306, 429
3 69, 102, 143
23, 34, 143

∴ So the LCM of the given numbers is 2 x 3 x 3 x 23 x 34 x 143 = 2012868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2012868

Therefore, the GCF of Fractions 360/414,602/612,319/858 is 1/2012868

Least Common Multiple of 414,612,858 with GCF Formula

Least Common Multiple of 414,612,858 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 414,612,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,612,858) = 6

common factors(in case of two or more numbers have common factors) = 18

GCF(414,612,858) x common factors =6 x 18 = 108

LCM(414,612,858) = ( 414 × 612 × 858 ) / 108

LCM(414,612,858) = 217389744 / 108

LCM(414,612,858) = 2012868


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 360/414, 602/612, 319/858

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 360/414, 602/612, 319/858?

Answer: GCF of Numerators as per given numbers 360/414, 602/612, 319/858 is

GCF of Numerators i.e. for 360,602,319 is 1

LCM of denominators i.e. for 414,612,858 is 2012868.

Thus, GCF of Fractions is 1/2012868.Finally, GCF of Fractions for 360/414, 602/612, 319/858 is 1/2012868.