Greatest Common Factor of 739/45, 670/23, 200/935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 739/45, 670/23, 200/935

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 739/45,670/23,200/935

Given fractions are 739/45,670/23,200/935

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 739,670,200

Greatest Common Factor of Numerators i.e. GCF of 739,670,200 is 1 .

LCM of Denominators means LCM of 45,23,935 as per the given fractions.

LCM of 45,23,935 is 193545 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 739,670,200

GCF of Fractions 739/45,670/23,200/935 is 1/193545

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

Greatest Common Factor of 739,670,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 739,670,200 By Matching Biggest Common Factor Method

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 739,670,200 . The biggest common factor number is the GCF number.
So the greatest common factor 739,670,200 is 1.

Lets's calculate LCM of 45,23,935

5 45, 23, 935
9, 23, 187

∴ So the LCM of the given numbers is 5 x 9 x 23 x 187 = 193545

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/193545

Therefore, the GCF of Fractions 739/45,670/23,200/935 is 1/193545

Least Common Multiple of 45,23,935 with GCF Formula

Least Common Multiple of 45,23,935 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 45,23,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,23,935) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(45,23,935) x common factors =1 x 5 = 5

LCM(45,23,935) = ( 45 × 23 × 935 ) / 5

LCM(45,23,935) = 967725 / 5

LCM(45,23,935) = 193545


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 739/45, 670/23, 200/935

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 739/45, 670/23, 200/935?

Answer: GCF of Numerators as per given numbers 739/45, 670/23, 200/935 is

GCF of Numerators i.e. for 739,670,200 is 1

LCM of denominators i.e. for 45,23,935 is 193545.

Thus, GCF of Fractions is 1/193545.Finally, GCF of Fractions for 739/45, 670/23, 200/935 is 1/193545.