Greatest Common Factor of 162/759, 368/598, 348/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 162/759, 368/598, 348/697

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 162/759,368/598,348/697

Given fractions are 162/759,368/598,348/697

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 162,368,348

Greatest Common Factor of Numerators i.e. GCF of 162,368,348 is 2 .

LCM of Denominators means LCM of 759,598,697 as per the given fractions.

LCM of 759,598,697 is 13754598 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 162,368,348

GCF of Fractions 162/759,368/598,348/697 is 2/13754598

2 162, 368, 348
81, 184, 174

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

Greatest Common Factor of 162,368,348 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,368,348 By Matching Biggest Common Factor Method

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

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Greatest Common Factor

We found the factors 162,368,348 . The biggest common factor number is the GCF number.
So the greatest common factor 162,368,348 is 2.

Lets's calculate LCM of 759,598,697

23 759, 598, 697
33, 26, 697

∴ So the LCM of the given numbers is 23 x 33 x 26 x 697 = 13754598

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13754598

Therefore, the GCF of Fractions 162/759,368/598,348/697 is 2/13754598

Least Common Multiple of 759,598,697 with GCF Formula

Least Common Multiple of 759,598,697 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 759,598,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(759,598,697) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(759,598,697) x common factors =1 x 23 = 23

LCM(759,598,697) = ( 759 × 598 × 697 ) / 23

LCM(759,598,697) = 316355754 / 23

LCM(759,598,697) = 13754598


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 162/759, 368/598, 348/697

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 162/759, 368/598, 348/697?

Answer: GCF of Numerators as per given numbers 162/759, 368/598, 348/697 is

GCF of Numerators i.e. for 162,368,348 is 2

LCM of denominators i.e. for 759,598,697 is 13754598.

Thus, GCF of Fractions is 2/13754598.Finally, GCF of Fractions for 162/759, 368/598, 348/697 is 2/13754598.