Greatest Common Factor of 420/660, 134/861, 919/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 420/660, 134/861, 919/645

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 420/660,134/861,919/645

Given fractions are 420/660,134/861,919/645

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 420,134,919

Greatest Common Factor of Numerators i.e. GCF of 420,134,919 is 1 .

LCM of Denominators means LCM of 660,861,645 as per the given fractions.

LCM of 660,861,645 is 8145060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 420,134,919

GCF of Fractions 420/660,134/861,919/645 is 1/8145060

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

Greatest Common Factor of 420,134,919 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,134,919 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Greatest Common Factor

We found the factors 420,134,919 . The biggest common factor number is the GCF number.
So the greatest common factor 420,134,919 is 1.

Lets's calculate LCM of 660,861,645

3 660, 861, 645
5 220, 287, 215
44, 287, 43

∴ So the LCM of the given numbers is 3 x 5 x 44 x 287 x 43 = 8145060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8145060

Therefore, the GCF of Fractions 420/660,134/861,919/645 is 1/8145060

Least Common Multiple of 660,861,645 with GCF Formula

Least Common Multiple of 660,861,645 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 660,861,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,861,645) = 3

common factors(in case of two or more numbers have common factors) = 15

GCF(660,861,645) x common factors =3 x 15 = 45

LCM(660,861,645) = ( 660 × 861 × 645 ) / 45

LCM(660,861,645) = 366527700 / 45

LCM(660,861,645) = 8145060


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 420/660, 134/861, 919/645

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 420/660, 134/861, 919/645?

Answer: GCF of Numerators as per given numbers 420/660, 134/861, 919/645 is

GCF of Numerators i.e. for 420,134,919 is 1

LCM of denominators i.e. for 660,861,645 is 8145060.

Thus, GCF of Fractions is 1/8145060.Finally, GCF of Fractions for 420/660, 134/861, 919/645 is 1/8145060.