Greatest Common Factor of 12/46, 970/47, 619/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 12/46, 970/47, 619/670

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 12/46,970/47,619/670

Given fractions are 12/46,970/47,619/670

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 12,970,619

Greatest Common Factor of Numerators i.e. GCF of 12,970,619 is 1 .

LCM of Denominators means LCM of 46,47,670 as per the given fractions.

LCM of 46,47,670 is 724270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 12,970,619

GCF of Fractions 12/46,970/47,619/670 is 1/724270

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

Greatest Common Factor of 12,970,619 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,970,619 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Greatest Common Factor

We found the factors 12,970,619 . The biggest common factor number is the GCF number.
So the greatest common factor 12,970,619 is 1.

Lets's calculate LCM of 46,47,670

2 46, 47, 670
23, 47, 335

∴ So the LCM of the given numbers is 2 x 23 x 47 x 335 = 724270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/724270

Therefore, the GCF of Fractions 12/46,970/47,619/670 is 1/724270

Least Common Multiple of 46,47,670 with GCF Formula

Least Common Multiple of 46,47,670 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 46,47,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,47,670) = 1

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

GCF(46,47,670) x common factors =1 x 2 = 2

LCM(46,47,670) = ( 46 × 47 × 670 ) / 2

LCM(46,47,670) = 1448540 / 2

LCM(46,47,670) = 724270


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 12/46, 970/47, 619/670

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 12/46, 970/47, 619/670?

Answer: GCF of Numerators as per given numbers 12/46, 970/47, 619/670 is

GCF of Numerators i.e. for 12,970,619 is 1

LCM of denominators i.e. for 46,47,670 is 724270.

Thus, GCF of Fractions is 1/724270.Finally, GCF of Fractions for 12/46, 970/47, 619/670 is 1/724270.