How to Find GCF of 73/50, 230/92, 791/867?

GCF of 73/50, 230/92, 791/867

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 73/50, 230/92, 791/867 i.e 1/1994100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 73/50, 230/92, 791/867.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 73/50,230/92,791/867?

Given fractions are 73/50,230/92,791/867

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 73/50,230/92,791/867, numerators are 73,230,791

Denominators are 50,92,867

The GCF of 73,230,791 is 1 .

LCM of 50,92,867 is 1994100.

The greatest common factor of 73/50,230/92,791/867 = [GCF of 73,230,791]/[LCM of 50,92,867]= 1/1994100

Therefore, the GCF of 73/50,230/92,791/867 is 1/1994100.

Greatest Common Factor of 73,230,791

To find the highest common factor of 73,230,791, we have to find the factors of both numbers and list the highest common factor.

The factors of 73 are 1, 73

The factors of 230 are 1, 2, 5, 10, 23, 46, 115, 230

The factors of 791 are 1, 7, 113, 791

The HCF of 73,230,791 is 1.

Lets's calculate GCF of 73,230,791

Greatest Common Factor (GCF) of 73,230,791 By Common Division

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

Greatest Common Factor of 73,230,791 By Matching Biggest Common Factor Method

Now, list down the factors of 73

1,73

Now, list down the factors of 230

1,2,5,10,23,46,115,230

Now, list down the factors of 791

1,7,113,791

Greatest Common Factor

We found the factors 73,230,791 . The biggest common factor number is the GCF number.
So the greatest common factor 73,230,791 is 1.

Lets's calculate LCM of 50,92,867

Lowest Common Multiple of 50,92,867 using Common Division

2	50, 92, 867
	25, 46, 867

∴ So the LCM of the given numbers is 2 x 25 x 46 x 867 = 1994100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1994100

Therefore, the GCF of Fractions 73/50,230/92,791/867 is 1/1994100

Least Common Multiple of 50,92,867 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 50,92,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,92,867) = 1

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

GCF(50,92,867) x common factors =1 x 2 = 2

LCM(50,92,867) = ( 50 × 92 × 867 ) / 2

LCM(50,92,867) = 3988200 / 2

LCM(50,92,867) = 1994100

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 73/50, 230/92, 791/867

1. What is the HCF of 73,230,791?

The HCF of 73,230,791 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 73/50, 230/92, 791/867?

Answer: GCF of Numerators as per given numbers 73/50, 230/92, 791/867 is

GCF of Numerators i.e. for 73,230,791 is 1

LCM of denominators i.e. for 50,92,867 is 1994100.

Thus, GCF of Fractions is 1/1994100.Finally, GCF of Fractions for 73/50, 230/92, 791/867 is 1/1994100.