Greatest Common Factor of 3/82, 55/14, 31/205, 813/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/82, 55/14, 31/205, 813/774

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 3/82,55/14,31/205,813/774

Given fractions are 3/82,55/14,31/205,813/774

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 3,55,31,813

Greatest Common Factor of Numerators i.e. GCF of 3,55,31,813 is 1 .

LCM of Denominators means LCM of 82,14,205,774 as per the given fractions.

LCM of 82,14,205,774 is 1110690 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,55,31,813

GCF of Fractions 3/82,55/14,31/205,813/774 is 1/1110690

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

Greatest Common Factor of 3,55,31,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,55,31,813 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors 3,55,31,813 . The biggest common factor number is the GCF number.
So the greatest common factor 3,55,31,813 is 1.

Lets's calculate LCM of 82,14,205,774

2 82, 14, 205, 774
41 41, 7, 205, 387
1, 7, 5, 387

∴ So the LCM of the given numbers is 2 x 41 x 1 x 7 x 5 x 387 = 1110690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1110690

Therefore, the GCF of Fractions 3/82,55/14,31/205,813/774 is 1/1110690

Least Common Multiple of 82,14,205,774 with GCF Formula

Least Common Multiple of 82,14,205,774 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 82,14,205,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,14,205,774) = 1

common factors(in case of two or more numbers have common factors) = 164

GCF(82,14,205,774) x common factors =1 x 164 = 164

LCM(82,14,205,774) = ( 82 × 14 × 205 × 774 ) / 164

LCM(82,14,205,774) = 182153160 / 164

LCM(82,14,205,774) = 1110690


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 3/82, 55/14, 31/205, 813/774

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 3/82, 55/14, 31/205, 813/774?

Answer: GCF of Numerators as per given numbers 3/82, 55/14, 31/205, 813/774 is

GCF of Numerators i.e. for 3,55,31,813 is 1

LCM of denominators i.e. for 82,14,205,774 is 1110690.

Thus, GCF of Fractions is 1/1110690.Finally, GCF of Fractions for 3/82, 55/14, 31/205, 813/774 is 1/1110690.