Greatest Common Factor of 662/424, 278/786, 214/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 662/424, 278/786, 214/735

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 662/424,278/786,214/735

Given fractions are 662/424,278/786,214/735

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 662,278,214

Greatest Common Factor of Numerators i.e. GCF of 662,278,214 is 2 .

LCM of Denominators means LCM of 424,786,735 as per the given fractions.

LCM of 424,786,735 is 40824840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 662,278,214

GCF of Fractions 662/424,278/786,214/735 is 2/40824840

2 662, 278, 214
331, 139, 107

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

Greatest Common Factor of 662,278,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 662,278,214 By Matching Biggest Common Factor Method

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 662,278,214 . The biggest common factor number is the GCF number.
So the greatest common factor 662,278,214 is 2.

Lets's calculate LCM of 424,786,735

2 424, 786, 735
3 212, 393, 735
212, 131, 245

∴ So the LCM of the given numbers is 2 x 3 x 212 x 131 x 245 = 40824840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/40824840

Therefore, the GCF of Fractions 662/424,278/786,214/735 is 2/40824840

Least Common Multiple of 424,786,735 with GCF Formula

Least Common Multiple of 424,786,735 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 424,786,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(424,786,735) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(424,786,735) x common factors =1 x 6 = 6

LCM(424,786,735) = ( 424 × 786 × 735 ) / 6

LCM(424,786,735) = 244949040 / 6

LCM(424,786,735) = 40824840


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 662/424, 278/786, 214/735

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 662/424, 278/786, 214/735?

Answer: GCF of Numerators as per given numbers 662/424, 278/786, 214/735 is

GCF of Numerators i.e. for 662,278,214 is 2

LCM of denominators i.e. for 424,786,735 is 40824840.

Thus, GCF of Fractions is 2/40824840.Finally, GCF of Fractions for 662/424, 278/786, 214/735 is 2/40824840.