Greatest Common Factor of 894/74, 490/72, 638/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 894/74, 490/72, 638/686

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 894/74,490/72,638/686

Given fractions are 894/74,490/72,638/686

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 894,490,638

Greatest Common Factor of Numerators i.e. GCF of 894,490,638 is 2 .

LCM of Denominators means LCM of 74,72,686 as per the given fractions.

LCM of 74,72,686 is 913752 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 894,490,638

GCF of Fractions 894/74,490/72,638/686 is 2/913752

2 894, 490, 638
447, 245, 319

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

Greatest Common Factor of 894,490,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 894,490,638 By Matching Biggest Common Factor Method

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 638

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

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

Greatest Common Factor

We found the factors 894,490,638 . The biggest common factor number is the GCF number.
So the greatest common factor 894,490,638 is 2.

Lets's calculate LCM of 74,72,686

2 74, 72, 686
37, 36, 343

∴ So the LCM of the given numbers is 2 x 37 x 36 x 343 = 913752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/913752

Therefore, the GCF of Fractions 894/74,490/72,638/686 is 2/913752

Least Common Multiple of 74,72,686 with GCF Formula

Least Common Multiple of 74,72,686 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 74,72,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,72,686) = 2

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

GCF(74,72,686) x common factors =2 x 2 = 4

LCM(74,72,686) = ( 74 × 72 × 686 ) / 4

LCM(74,72,686) = 3655008 / 4

LCM(74,72,686) = 913752


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 894/74, 490/72, 638/686

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 894/74, 490/72, 638/686?

Answer: GCF of Numerators as per given numbers 894/74, 490/72, 638/686 is

GCF of Numerators i.e. for 894,490,638 is 2

LCM of denominators i.e. for 74,72,686 is 913752.

Thus, GCF of Fractions is 2/913752.Finally, GCF of Fractions for 894/74, 490/72, 638/686 is 2/913752.