How to Find GCF of 8720/155, 5736/583?

GCF of 8720/155, 5736/583

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 8720/155, 5736/583 i.e 8/90365 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8720/155, 5736/583.

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 8720/155,5736/583?

Given fractions are 8720/155,5736/583

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 8720/155,5736/583, numerators are 8720,5736

Denominators are 155,583

The GCF of 8720,5736 is 8 .

LCM of 155,583 is 90365.

The greatest common factor of 8720/155,5736/583 = [GCF of 8720,5736]/[LCM of 155,583]= 8/90365

Therefore, the GCF of 8720/155,5736/583 is 8/90365.

Greatest Common Factor of 8720,5736

To find the highest common factor of 8720,5736, we have to find the factors of both numbers and list the highest common factor.

The factors of 8720 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 109, 218, 436, 545, 872, 1090, 1744, 2180, 4360, 8720

The factors of 5736 are 1, 2, 3, 4, 6, 8, 12, 24, 239, 478, 717, 956, 1434, 1912, 2868, 5736

The HCF of 8720,5736 is 8.

Lets's calculate GCF of 8720,5736

Greatest Common Factor (GCF) of 8720,5736 By Common Division

2	8720, 5736
2	4360, 2868
2	2180, 1434
	1090, 717

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 8720,5736 By Matching Biggest Common Factor Method

Now, list down the factors of 8720

1,2,4,5,8,10,16,20,40,80,109,218,436,545,872,1090,1744,2180,4360,8720

Now, list down the factors of 5736

1,2,3,4,6,8,12,24,239,478,717,956,1434,1912,2868,5736

Greatest Common Factor

We found the factors 8720,5736 . The biggest common factor number is the GCF number.
So the greatest common factor 8720,5736 is 8.

Lets's calculate LCM of 155,583

Lowest Common Multiple of 155,583 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 90365

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/90365

Therefore, the GCF of Fractions 8720/155,5736/583 is 8/90365

Least Common Multiple of 155,583 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 155,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(155,583) = 1

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

GCF(155,583) x common factors =1 x 1 = 1

LCM(155,583) = ( 155 × 583 ) / 1

LCM(155,583) = 90365 / 1

LCM(155,583) = 90365

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FAQs on GCF of Fractions of 8720/155, 5736/583

1. What is the HCF of 8720,5736?

The HCF of 8720,5736 is 8

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 8720/155, 5736/583?

Answer: GCF of Numerators as per given numbers 8720/155, 5736/583 is

GCF of Numerators i.e. for 8720,5736 is 8

LCM of denominators i.e. for 155,583 is 90365.

Thus, GCF of Fractions is 8/90365.Finally, GCF of Fractions for 8720/155, 5736/583 is 8/90365.