Greatest Common Factor of 341/72, 703/88, 178/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 341/72, 703/88, 178/768

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 341/72,703/88,178/768

Given fractions are 341/72,703/88,178/768

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 341,703,178

Greatest Common Factor of Numerators i.e. GCF of 341,703,178 is 1 .

LCM of Denominators means LCM of 72,88,768 as per the given fractions.

LCM of 72,88,768 is 25344 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 341,703,178

GCF of Fractions 341/72,703/88,178/768 is 1/25344

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

Greatest Common Factor of 341,703,178 By Matching Biggest Common Factor Method

Greatest Common Factor of 341,703,178 By Matching Biggest Common Factor Method

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Greatest Common Factor

We found the factors 341,703,178 . The biggest common factor number is the GCF number.
So the greatest common factor 341,703,178 is 1.

Lets's calculate LCM of 72,88,768

2 72, 88, 768
2 36, 44, 384
2 18, 22, 192
3 9, 11, 96
3, 11, 32

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 11 x 32 = 25344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25344

Therefore, the GCF of Fractions 341/72,703/88,178/768 is 1/25344

Least Common Multiple of 72,88,768 with GCF Formula

Least Common Multiple of 72,88,768 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 72,88,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,88,768) = 8

common factors(in case of two or more numbers have common factors) = 24

GCF(72,88,768) x common factors =8 x 24 = 192

LCM(72,88,768) = ( 72 × 88 × 768 ) / 192

LCM(72,88,768) = 4866048 / 192

LCM(72,88,768) = 25344


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 341/72, 703/88, 178/768

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 341/72, 703/88, 178/768?

Answer: GCF of Numerators as per given numbers 341/72, 703/88, 178/768 is

GCF of Numerators i.e. for 341,703,178 is 1

LCM of denominators i.e. for 72,88,768 is 25344.

Thus, GCF of Fractions is 1/25344.Finally, GCF of Fractions for 341/72, 703/88, 178/768 is 1/25344.