Greatest Common Factor of 706/24, 433/17, 883/71

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 706/24, 433/17, 883/71

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 706/24,433/17,883/71

Given fractions are 706/24,433/17,883/71

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 706,433,883

Greatest Common Factor of Numerators i.e. GCF of 706,433,883 is 1 .

LCM of Denominators means LCM of 24,17,71 as per the given fractions.

LCM of 24,17,71 is 28968 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 706,433,883

GCF of Fractions 706/24,433/17,883/71 is 1/28968

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

Greatest Common Factor of 706,433,883 By Matching Biggest Common Factor Method

Greatest Common Factor of 706,433,883 By Matching Biggest Common Factor Method

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Factors of 883

List of positive integer factors of 883 that divides 883 without a remainder.

1,883

Greatest Common Factor

We found the factors 706,433,883 . The biggest common factor number is the GCF number.
So the greatest common factor 706,433,883 is 1.

Lets's calculate LCM of 24,17,71

Given numbers has no common factors except 1. So, there LCM is their product i.e 28968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28968

Therefore, the GCF of Fractions 706/24,433/17,883/71 is 1/28968

Least Common Multiple of 24,17,71 with GCF Formula

Least Common Multiple of 24,17,71 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 24,17,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,17,71) = 1

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

GCF(24,17,71) x common factors =1 x 1 = 1

LCM(24,17,71) = ( 24 × 17 × 71 ) / 1

LCM(24,17,71) = 28968 / 1

LCM(24,17,71) = 28968


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 706/24, 433/17, 883/71

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 706/24, 433/17, 883/71?

Answer: GCF of Numerators as per given numbers 706/24, 433/17, 883/71 is

GCF of Numerators i.e. for 706,433,883 is 1

LCM of denominators i.e. for 24,17,71 is 28968.

Thus, GCF of Fractions is 1/28968.Finally, GCF of Fractions for 706/24, 433/17, 883/71 is 1/28968.