Greatest Common Factor of 68/165, 592/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/165, 592/554

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 68/165,592/554

Given fractions are 68/165,592/554

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 68,592

Greatest Common Factor of Numerators i.e. GCF of 68,592 is 4 .

LCM of Denominators means LCM of 165,554 as per the given fractions.

LCM of 165,554 is 91410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,592

GCF of Fractions 68/165,592/554 is 4/91410

2 68, 592
2 34, 296
17, 148

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 68,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,592 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 68,592 . The biggest common factor number is the GCF number.
So the greatest common factor 68,592 is 4.

Lets's calculate LCM of 165,554

Given numbers has no common factors except 1. So, there LCM is their product i.e 91410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/91410

Therefore, the GCF of Fractions 68/165,592/554 is 4/91410

Least Common Multiple of 165,554 with GCF Formula

Least Common Multiple of 165,554 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 165,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(165,554) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(165,554) x common factors =1 x 1 = 1

LCM(165,554) = ( 165 × 554 ) / 1

LCM(165,554) = 91410 / 1

LCM(165,554) = 91410


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 68/165, 592/554

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 68/165, 592/554?

Answer: GCF of Numerators as per given numbers 68/165, 592/554 is

GCF of Numerators i.e. for 68,592 is 4

LCM of denominators i.e. for 165,554 is 91410.

Thus, GCF of Fractions is 4/91410.Finally, GCF of Fractions for 68/165, 592/554 is 4/91410.