How to Find GCF of 723/342, 8917/835?

GCF of 723/342, 8917/835

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 723/342, 8917/835 i.e 241/285570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 723/342, 8917/835.

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 723/342,8917/835?

Given fractions are 723/342,8917/835

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 723/342,8917/835, numerators are 723,8917

Denominators are 342,835

The GCF of 723,8917 is 241 .

LCM of 342,835 is 285570.

The greatest common factor of 723/342,8917/835 = [GCF of 723,8917]/[LCM of 342,835]= 241/285570

Therefore, the GCF of 723/342,8917/835 is 241/285570.

Greatest Common Factor of 723,8917

To find the highest common factor of 723,8917, we have to find the factors of both numbers and list the highest common factor.

The factors of 723 are 1, 3, 241, 723

The factors of 8917 are 1, 37, 241, 8917

The HCF of 723,8917 is 241.

Lets's calculate GCF of 723,8917

Greatest Common Factor (GCF) of 723,8917 By Common Division

241	723, 8917
	3, 37

∴ So the GCF of the given numbers is 241 = 241

Greatest Common Factor of 723,8917 By Matching Biggest Common Factor Method

Now, list down the factors of 723

1,3,241,723

Now, list down the factors of 8917

1,37,241,8917

Greatest Common Factor

We found the factors 723,8917 . The biggest common factor number is the GCF number.
So the greatest common factor 723,8917 is 241.

Lets's calculate LCM of 342,835

Lowest Common Multiple of 342,835 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 285570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 241/285570

Therefore, the GCF of Fractions 723/342,8917/835 is 241/285570

Least Common Multiple of 342,835 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 342,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,835) = 1

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

GCF(342,835) x common factors =1 x 1 = 1

LCM(342,835) = ( 342 × 835 ) / 1

LCM(342,835) = 285570 / 1

LCM(342,835) = 285570

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FAQs on GCF of Fractions of 723/342, 8917/835

1. What is the HCF of 723,8917?

The HCF of 723,8917 is 241

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 723/342, 8917/835?

Answer: GCF of Numerators as per given numbers 723/342, 8917/835 is

GCF of Numerators i.e. for 723,8917 is 241

LCM of denominators i.e. for 342,835 is 285570.

Thus, GCF of Fractions is 241/285570.Finally, GCF of Fractions for 723/342, 8917/835 is 241/285570.