Greatest Common Factor of 704/21, 719/78, 301/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 704/21, 719/78, 301/950

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 704/21,719/78,301/950

Given fractions are 704/21,719/78,301/950

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 704,719,301

Greatest Common Factor of Numerators i.e. GCF of 704,719,301 is 1 .

LCM of Denominators means LCM of 21,78,950 as per the given fractions.

LCM of 21,78,950 is 259350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 704,719,301

GCF of Fractions 704/21,719/78,301/950 is 1/259350

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

Greatest Common Factor of 704,719,301 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,719,301 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Greatest Common Factor

We found the factors 704,719,301 . The biggest common factor number is the GCF number.
So the greatest common factor 704,719,301 is 1.

Lets's calculate LCM of 21,78,950

2 21, 78, 950
3 21, 39, 475
7, 13, 475

∴ So the LCM of the given numbers is 2 x 3 x 7 x 13 x 475 = 259350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/259350

Therefore, the GCF of Fractions 704/21,719/78,301/950 is 1/259350

Least Common Multiple of 21,78,950 with GCF Formula

Least Common Multiple of 21,78,950 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 21,78,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,78,950) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(21,78,950) x common factors =1 x 6 = 6

LCM(21,78,950) = ( 21 × 78 × 950 ) / 6

LCM(21,78,950) = 1556100 / 6

LCM(21,78,950) = 259350


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 704/21, 719/78, 301/950

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 704/21, 719/78, 301/950?

Answer: GCF of Numerators as per given numbers 704/21, 719/78, 301/950 is

GCF of Numerators i.e. for 704,719,301 is 1

LCM of denominators i.e. for 21,78,950 is 259350.

Thus, GCF of Fractions is 1/259350.Finally, GCF of Fractions for 704/21, 719/78, 301/950 is 1/259350.