Greatest Common Factor of 420/108, 1670/1572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 420/108, 1670/1572

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 420/108,1670/1572

Given fractions are 420/108,1670/1572

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 420,1670

Greatest Common Factor of Numerators i.e. GCF of 420,1670 is 10 .

LCM of Denominators means LCM of 108,1572 as per the given fractions.

LCM of 108,1572 is 14148 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 420,1670

GCF of Fractions 420/108,1670/1572 is 10/14148

2 420, 1670
5 210, 835
42, 167

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 420,1670 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,1670 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 1670

List of positive integer factors of 1670 that divides 1670 without a remainder.

1,2,5,10,167,334,835,1670

Greatest Common Factor

We found the factors 420,1670 . The biggest common factor number is the GCF number.
So the greatest common factor 420,1670 is 10.

Lets's calculate LCM of 108,1572

2 108, 1572
2 54, 786
3 27, 393
9, 131

∴ So the LCM of the given numbers is 2 x 2 x 3 x 9 x 131 = 14148

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/14148

Therefore, the GCF of Fractions 420/108,1670/1572 is 10/14148

Least Common Multiple of 108,1572 with GCF Formula

Least Common Multiple of 108,1572 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 108,1572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,1572) = 12

common factors(in case of two or more numbers have common factors) = 1

GCF(108,1572) x common factors =12 x 1 = 12

LCM(108,1572) = ( 108 × 1572 ) / 12

LCM(108,1572) = 169776 / 12

LCM(108,1572) = 14148


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 420/108, 1670/1572

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 420/108, 1670/1572?

Answer: GCF of Numerators as per given numbers 420/108, 1670/1572 is

GCF of Numerators i.e. for 420,1670 is 10

LCM of denominators i.e. for 108,1572 is 14148.

Thus, GCF of Fractions is 10/14148.Finally, GCF of Fractions for 420/108, 1670/1572 is 10/14148.