Greatest Common Factor of 632/66, 822/27, 380/49

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 632/66, 822/27, 380/49

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 632/66,822/27,380/49

Given fractions are 632/66,822/27,380/49

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 632,822,380

Greatest Common Factor of Numerators i.e. GCF of 632,822,380 is 2 .

LCM of Denominators means LCM of 66,27,49 as per the given fractions.

LCM of 66,27,49 is 29106 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 632,822,380

GCF of Fractions 632/66,822/27,380/49 is 2/29106

2 632, 822, 380
316, 411, 190

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

Greatest Common Factor of 632,822,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 632,822,380 By Matching Biggest Common Factor Method

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 632,822,380 . The biggest common factor number is the GCF number.
So the greatest common factor 632,822,380 is 2.

Lets's calculate LCM of 66,27,49

3 66, 27, 49
22, 9, 49

∴ So the LCM of the given numbers is 3 x 22 x 9 x 49 = 29106

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/29106

Therefore, the GCF of Fractions 632/66,822/27,380/49 is 2/29106

Least Common Multiple of 66,27,49 with GCF Formula

Least Common Multiple of 66,27,49 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 66,27,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,27,49) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(66,27,49) x common factors =1 x 3 = 3

LCM(66,27,49) = ( 66 × 27 × 49 ) / 3

LCM(66,27,49) = 87318 / 3

LCM(66,27,49) = 29106


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 632/66, 822/27, 380/49

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 632/66, 822/27, 380/49?

Answer: GCF of Numerators as per given numbers 632/66, 822/27, 380/49 is

GCF of Numerators i.e. for 632,822,380 is 2

LCM of denominators i.e. for 66,27,49 is 29106.

Thus, GCF of Fractions is 2/29106.Finally, GCF of Fractions for 632/66, 822/27, 380/49 is 2/29106.