Greatest Common Factor of 774/834, 492/646, 385/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 774/834, 492/646, 385/834

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 774/834,492/646,385/834

Given fractions are 774/834,492/646,385/834

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 774,492,385

Greatest Common Factor of Numerators i.e. GCF of 774,492,385 is 1 .

LCM of Denominators means LCM of 834,646,834 as per the given fractions.

LCM of 834,646,834 is 269382 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 774,492,385

GCF of Fractions 774/834,492/646,385/834 is 1/269382

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 774,492,385 By Matching Biggest Common Factor Method

Greatest Common Factor of 774,492,385 By Matching Biggest Common Factor Method

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

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Greatest Common Factor

We found the factors 774,492,385 . The biggest common factor number is the GCF number.
So the greatest common factor 774,492,385 is 1.

Lets's calculate LCM of 834,646,834

2 834, 646, 834
3 417, 323, 417
139 139, 323, 139
1, 323, 1

∴ So the LCM of the given numbers is 2 x 3 x 139 x 1 x 323 x 1 = 269382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/269382

Therefore, the GCF of Fractions 774/834,492/646,385/834 is 1/269382

Least Common Multiple of 834,646,834 with GCF Formula

Least Common Multiple of 834,646,834 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 834,646,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(834,646,834) = 2

common factors(in case of two or more numbers have common factors) = 834

GCF(834,646,834) x common factors =2 x 834 = 1668

LCM(834,646,834) = ( 834 × 646 × 834 ) / 1668

LCM(834,646,834) = 449329176 / 1668

LCM(834,646,834) = 269382


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 774/834, 492/646, 385/834

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 774/834, 492/646, 385/834?

Answer: GCF of Numerators as per given numbers 774/834, 492/646, 385/834 is

GCF of Numerators i.e. for 774,492,385 is 1

LCM of denominators i.e. for 834,646,834 is 269382.

Thus, GCF of Fractions is 1/269382.Finally, GCF of Fractions for 774/834, 492/646, 385/834 is 1/269382.