Greatest Common Factor of 347/46, 619/69, 162/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 347/46, 619/69, 162/414

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 347/46,619/69,162/414

Given fractions are 347/46,619/69,162/414

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 347,619,162

Greatest Common Factor of Numerators i.e. GCF of 347,619,162 is 1 .

LCM of Denominators means LCM of 46,69,414 as per the given fractions.

LCM of 46,69,414 is 414 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 347,619,162

GCF of Fractions 347/46,619/69,162/414 is 1/414

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

Greatest Common Factor of 347,619,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 347,619,162 By Matching Biggest Common Factor Method

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 347,619,162 . The biggest common factor number is the GCF number.
So the greatest common factor 347,619,162 is 1.

Lets's calculate LCM of 46,69,414

2 46, 69, 414
3 23, 69, 207
23 23, 23, 69
1, 1, 3

∴ So the LCM of the given numbers is 2 x 3 x 23 x 1 x 1 x 3 = 414

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/414

Therefore, the GCF of Fractions 347/46,619/69,162/414 is 1/414

Least Common Multiple of 46,69,414 with GCF Formula

Least Common Multiple of 46,69,414 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 46,69,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,69,414) = 23

common factors(in case of two or more numbers have common factors) = 138

GCF(46,69,414) x common factors =23 x 138 = 3174

LCM(46,69,414) = ( 46 × 69 × 414 ) / 3174

LCM(46,69,414) = 1314036 / 3174

LCM(46,69,414) = 414


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 347/46, 619/69, 162/414

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 347/46, 619/69, 162/414?

Answer: GCF of Numerators as per given numbers 347/46, 619/69, 162/414 is

GCF of Numerators i.e. for 347,619,162 is 1

LCM of denominators i.e. for 46,69,414 is 414.

Thus, GCF of Fractions is 1/414.Finally, GCF of Fractions for 347/46, 619/69, 162/414 is 1/414.