How to Find GCF of 5584/797, 6072/5901?

GCF of 5584/797, 6072/5901

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 5584/797, 6072/5901 i.e 8/4703097 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5584/797, 6072/5901.

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 5584/797,6072/5901?

Given fractions are 5584/797,6072/5901

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 5584/797,6072/5901, numerators are 5584,6072

Denominators are 797,5901

The GCF of 5584,6072 is 8 .

LCM of 797,5901 is 4703097.

The greatest common factor of 5584/797,6072/5901 = [GCF of 5584,6072]/[LCM of 797,5901]= 8/4703097

Therefore, the GCF of 5584/797,6072/5901 is 8/4703097.

Greatest Common Factor of 5584,6072

To find the highest common factor of 5584,6072, we have to find the factors of both numbers and list the highest common factor.

The factors of 5584 are 1, 2, 4, 8, 16, 349, 698, 1396, 2792, 5584

The factors of 6072 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 23, 24, 33, 44, 46, 66, 69, 88, 92, 132, 138, 184, 253, 264, 276, 506, 552, 759, 1012, 1518, 2024, 3036, 6072

The HCF of 5584,6072 is 8.

Lets's calculate GCF of 5584,6072

Greatest Common Factor (GCF) of 5584,6072 By Common Division

2	5584, 6072
2	2792, 3036
2	1396, 1518
	698, 759

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

Greatest Common Factor of 5584,6072 By Matching Biggest Common Factor Method

Now, list down the factors of 5584

1,2,4,8,16,349,698,1396,2792,5584

Now, list down the factors of 6072

1,2,3,4,6,8,11,12,22,23,24,33,44,46,66,69,88,92,132,138,184,253,264,276,506,552,759,1012,1518,2024,3036,6072

Greatest Common Factor

We found the factors 5584,6072 . The biggest common factor number is the GCF number.
So the greatest common factor 5584,6072 is 8.

Lets's calculate LCM of 797,5901

Lowest Common Multiple of 797,5901 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4703097

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/4703097

Therefore, the GCF of Fractions 5584/797,6072/5901 is 8/4703097

Least Common Multiple of 797,5901 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 797,5901 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(797,5901) = 1

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

GCF(797,5901) x common factors =1 x 1 = 1

LCM(797,5901) = ( 797 × 5901 ) / 1

LCM(797,5901) = 4703097 / 1

LCM(797,5901) = 4703097

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5584/797, 6072/5901

1. What is the HCF of 5584,6072?

The HCF of 5584,6072 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 5584/797, 6072/5901?

Answer: GCF of Numerators as per given numbers 5584/797, 6072/5901 is

GCF of Numerators i.e. for 5584,6072 is 8

LCM of denominators i.e. for 797,5901 is 4703097.

Thus, GCF of Fractions is 8/4703097.Finally, GCF of Fractions for 5584/797, 6072/5901 is 8/4703097.