How to Find GCF of 5890/287, 9872/802?

GCF of 5890/287, 9872/802

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 5890/287, 9872/802 i.e 2/230174 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5890/287, 9872/802.

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 5890/287,9872/802?

Given fractions are 5890/287,9872/802

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 5890/287,9872/802, numerators are 5890,9872

Denominators are 287,802

The GCF of 5890,9872 is 2 .

LCM of 287,802 is 230174.

The greatest common factor of 5890/287,9872/802 = [GCF of 5890,9872]/[LCM of 287,802]= 2/230174

Therefore, the GCF of 5890/287,9872/802 is 2/230174.

Greatest Common Factor of 5890,9872

To find the highest common factor of 5890,9872, we have to find the factors of both numbers and list the highest common factor.

The factors of 5890 are 1, 2, 5, 10, 19, 31, 38, 62, 95, 155, 190, 310, 589, 1178, 2945, 5890

The factors of 9872 are 1, 2, 4, 8, 16, 617, 1234, 2468, 4936, 9872

The HCF of 5890,9872 is 2.

Lets's calculate GCF of 5890,9872

Greatest Common Factor (GCF) of 5890,9872 By Common Division

2	5890, 9872
	2945, 4936

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

Greatest Common Factor of 5890,9872 By Matching Biggest Common Factor Method

Now, list down the factors of 5890

1,2,5,10,19,31,38,62,95,155,190,310,589,1178,2945,5890

Now, list down the factors of 9872

1,2,4,8,16,617,1234,2468,4936,9872

Greatest Common Factor

We found the factors 5890,9872 . The biggest common factor number is the GCF number.
So the greatest common factor 5890,9872 is 2.

Lets's calculate LCM of 287,802

Lowest Common Multiple of 287,802 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 230174

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/230174

Therefore, the GCF of Fractions 5890/287,9872/802 is 2/230174

Least Common Multiple of 287,802 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 287,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(287,802) = 1

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

GCF(287,802) x common factors =1 x 1 = 1

LCM(287,802) = ( 287 × 802 ) / 1

LCM(287,802) = 230174 / 1

LCM(287,802) = 230174

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FAQs on GCF of Fractions of 5890/287, 9872/802

1. What is the HCF of 5890,9872?

The HCF of 5890,9872 is 2

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 5890/287, 9872/802?

Answer: GCF of Numerators as per given numbers 5890/287, 9872/802 is

GCF of Numerators i.e. for 5890,9872 is 2

LCM of denominators i.e. for 287,802 is 230174.

Thus, GCF of Fractions is 2/230174.Finally, GCF of Fractions for 5890/287, 9872/802 is 2/230174.