How to Find GCF of 4720/181, 8233/6724?

GCF of 4720/181, 8233/6724

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 4720/181, 8233/6724 i.e 1/1217044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4720/181, 8233/6724.

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 4720/181,8233/6724?

Given fractions are 4720/181,8233/6724

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 4720/181,8233/6724, numerators are 4720,8233

Denominators are 181,6724

The GCF of 4720,8233 is 1 .

LCM of 181,6724 is 1217044.

The greatest common factor of 4720/181,8233/6724 = [GCF of 4720,8233]/[LCM of 181,6724]= 1/1217044

Therefore, the GCF of 4720/181,8233/6724 is 1/1217044.

Greatest Common Factor of 4720,8233

To find the highest common factor of 4720,8233, we have to find the factors of both numbers and list the highest common factor.

The factors of 4720 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 59, 80, 118, 236, 295, 472, 590, 944, 1180, 2360, 4720

The factors of 8233 are 1, 8233

The HCF of 4720,8233 is 1.

Lets's calculate GCF of 4720,8233

Greatest Common Factor (GCF) of 4720,8233 By Common Division

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

Greatest Common Factor of 4720,8233 By Matching Biggest Common Factor Method

Now, list down the factors of 4720

1,2,4,5,8,10,16,20,40,59,80,118,236,295,472,590,944,1180,2360,4720

Now, list down the factors of 8233

1,8233

Greatest Common Factor

We found the factors 4720,8233 . The biggest common factor number is the GCF number.
So the greatest common factor 4720,8233 is 1.

Lets's calculate LCM of 181,6724

Lowest Common Multiple of 181,6724 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1217044

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1217044

Therefore, the GCF of Fractions 4720/181,8233/6724 is 1/1217044

Least Common Multiple of 181,6724 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 181,6724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(181,6724) = 1

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

GCF(181,6724) x common factors =1 x 1 = 1

LCM(181,6724) = ( 181 × 6724 ) / 1

LCM(181,6724) = 1217044 / 1

LCM(181,6724) = 1217044

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FAQs on GCF of Fractions of 4720/181, 8233/6724

1. What is the HCF of 4720,8233?

The HCF of 4720,8233 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 4720/181, 8233/6724?

Answer: GCF of Numerators as per given numbers 4720/181, 8233/6724 is

GCF of Numerators i.e. for 4720,8233 is 1

LCM of denominators i.e. for 181,6724 is 1217044.

Thus, GCF of Fractions is 1/1217044.Finally, GCF of Fractions for 4720/181, 8233/6724 is 1/1217044.