Greatest Common Factor of 68/104, 345/171, 599/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/104, 345/171, 599/802

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 68/104,345/171,599/802

Given fractions are 68/104,345/171,599/802

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 68,345,599

Greatest Common Factor of Numerators i.e. GCF of 68,345,599 is 1 .

LCM of Denominators means LCM of 104,171,802 as per the given fractions.

LCM of 104,171,802 is 7131384 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,345,599

GCF of Fractions 68/104,345/171,599/802 is 1/7131384

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

Greatest Common Factor of 68,345,599 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,345,599 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 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Greatest Common Factor

We found the factors 68,345,599 . The biggest common factor number is the GCF number.
So the greatest common factor 68,345,599 is 1.

Lets's calculate LCM of 104,171,802

2 104, 171, 802
52, 171, 401

∴ So the LCM of the given numbers is 2 x 52 x 171 x 401 = 7131384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7131384

Therefore, the GCF of Fractions 68/104,345/171,599/802 is 1/7131384

Least Common Multiple of 104,171,802 with GCF Formula

Least Common Multiple of 104,171,802 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 104,171,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(104,171,802) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(104,171,802) x common factors =1 x 2 = 2

LCM(104,171,802) = ( 104 × 171 × 802 ) / 2

LCM(104,171,802) = 14262768 / 2

LCM(104,171,802) = 7131384


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 68/104, 345/171, 599/802

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 68/104, 345/171, 599/802?

Answer: GCF of Numerators as per given numbers 68/104, 345/171, 599/802 is

GCF of Numerators i.e. for 68,345,599 is 1

LCM of denominators i.e. for 104,171,802 is 7131384.

Thus, GCF of Fractions is 1/7131384.Finally, GCF of Fractions for 68/104, 345/171, 599/802 is 1/7131384.