Greatest Common Factor of 3/60, 14/21, 69/773, 946/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/60, 14/21, 69/773, 946/658

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 3/60,14/21,69/773,946/658

Given fractions are 3/60,14/21,69/773,946/658

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 3,14,69,946

Greatest Common Factor of Numerators i.e. GCF of 3,14,69,946 is 1 .

LCM of Denominators means LCM of 60,21,773,658 as per the given fractions.

LCM of 60,21,773,658 is 15259020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,14,69,946

GCF of Fractions 3/60,14/21,69/773,946/658 is 1/15259020

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

Greatest Common Factor of 3,14,69,946 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,14,69,946 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Greatest Common Factor

We found the factors 3,14,69,946 . The biggest common factor number is the GCF number.
So the greatest common factor 3,14,69,946 is 1.

Lets's calculate LCM of 60,21,773,658

2 60, 21, 773, 658
3 30, 21, 773, 329
7 10, 7, 773, 329
10, 1, 773, 47

∴ So the LCM of the given numbers is 2 x 3 x 7 x 10 x 1 x 773 x 47 = 15259020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15259020

Therefore, the GCF of Fractions 3/60,14/21,69/773,946/658 is 1/15259020

Least Common Multiple of 60,21,773,658 with GCF Formula

Least Common Multiple of 60,21,773,658 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 60,21,773,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,21,773,658) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(60,21,773,658) x common factors =1 x 42 = 42

LCM(60,21,773,658) = ( 60 × 21 × 773 × 658 ) / 42

LCM(60,21,773,658) = 640878840 / 42

LCM(60,21,773,658) = 15259020


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 3/60, 14/21, 69/773, 946/658

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 3/60, 14/21, 69/773, 946/658?

Answer: GCF of Numerators as per given numbers 3/60, 14/21, 69/773, 946/658 is

GCF of Numerators i.e. for 3,14,69,946 is 1

LCM of denominators i.e. for 60,21,773,658 is 15259020.

Thus, GCF of Fractions is 1/15259020.Finally, GCF of Fractions for 3/60, 14/21, 69/773, 946/658 is 1/15259020.