Greatest Common Factor of 466/62, 380/85, 774/82

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 466/62, 380/85, 774/82

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 466/62,380/85,774/82

Given fractions are 466/62,380/85,774/82

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 466,380,774

Greatest Common Factor of Numerators i.e. GCF of 466,380,774 is 2 .

LCM of Denominators means LCM of 62,85,82 as per the given fractions.

LCM of 62,85,82 is 216070 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 466,380,774

GCF of Fractions 466/62,380/85,774/82 is 2/216070

2 466, 380, 774
233, 190, 387

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

Greatest Common Factor of 466,380,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,380,774 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

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

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 466,380,774 . The biggest common factor number is the GCF number.
So the greatest common factor 466,380,774 is 2.

Lets's calculate LCM of 62,85,82

2 62, 85, 82
31, 85, 41

∴ So the LCM of the given numbers is 2 x 31 x 85 x 41 = 216070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/216070

Therefore, the GCF of Fractions 466/62,380/85,774/82 is 2/216070

Least Common Multiple of 62,85,82 with GCF Formula

Least Common Multiple of 62,85,82 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 62,85,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,85,82) = 1

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

GCF(62,85,82) x common factors =1 x 2 = 2

LCM(62,85,82) = ( 62 × 85 × 82 ) / 2

LCM(62,85,82) = 432140 / 2

LCM(62,85,82) = 216070


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 466/62, 380/85, 774/82

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 466/62, 380/85, 774/82?

Answer: GCF of Numerators as per given numbers 466/62, 380/85, 774/82 is

GCF of Numerators i.e. for 466,380,774 is 2

LCM of denominators i.e. for 62,85,82 is 216070.

Thus, GCF of Fractions is 2/216070.Finally, GCF of Fractions for 466/62, 380/85, 774/82 is 2/216070.