Greatest Common Factor of 840/47, 638/90, 706/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 840/47, 638/90, 706/214

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 840/47,638/90,706/214

Given fractions are 840/47,638/90,706/214

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 840,638,706

Greatest Common Factor of Numerators i.e. GCF of 840,638,706 is 2 .

LCM of Denominators means LCM of 47,90,214 as per the given fractions.

LCM of 47,90,214 is 452610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 840,638,706

GCF of Fractions 840/47,638/90,706/214 is 2/452610

2 840, 638, 706
420, 319, 353

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 840,638,706 By Matching Biggest Common Factor Method

Greatest Common Factor of 840,638,706 By Matching Biggest Common Factor Method

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Greatest Common Factor

We found the factors 840,638,706 . The biggest common factor number is the GCF number.
So the greatest common factor 840,638,706 is 2.

Lets's calculate LCM of 47,90,214

2 47, 90, 214
47, 45, 107

∴ So the LCM of the given numbers is 2 x 47 x 45 x 107 = 452610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/452610

Therefore, the GCF of Fractions 840/47,638/90,706/214 is 2/452610

Least Common Multiple of 47,90,214 with GCF Formula

Least Common Multiple of 47,90,214 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 47,90,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,90,214) = 1

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

GCF(47,90,214) x common factors =1 x 2 = 2

LCM(47,90,214) = ( 47 × 90 × 214 ) / 2

LCM(47,90,214) = 905220 / 2

LCM(47,90,214) = 452610


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 840/47, 638/90, 706/214

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 840/47, 638/90, 706/214?

Answer: GCF of Numerators as per given numbers 840/47, 638/90, 706/214 is

GCF of Numerators i.e. for 840,638,706 is 2

LCM of denominators i.e. for 47,90,214 is 452610.

Thus, GCF of Fractions is 2/452610.Finally, GCF of Fractions for 840/47, 638/90, 706/214 is 2/452610.