How to Find GCF of 9887/240, 5826/4652?

GCF of 9887/240, 5826/4652

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 9887/240, 5826/4652 i.e 1/279120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9887/240, 5826/4652.

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 9887/240,5826/4652?

Given fractions are 9887/240,5826/4652

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 9887/240,5826/4652, numerators are 9887,5826

Denominators are 240,4652

The GCF of 9887,5826 is 1 .

LCM of 240,4652 is 279120.

The greatest common factor of 9887/240,5826/4652 = [GCF of 9887,5826]/[LCM of 240,4652]= 1/279120

Therefore, the GCF of 9887/240,5826/4652 is 1/279120.

Greatest Common Factor of 9887,5826

To find the highest common factor of 9887,5826, we have to find the factors of both numbers and list the highest common factor.

The factors of 9887 are 1, 9887

The factors of 5826 are 1, 2, 3, 6, 971, 1942, 2913, 5826

The HCF of 9887,5826 is 1.

Lets's calculate GCF of 9887,5826

Greatest Common Factor (GCF) of 9887,5826 By Common Division

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

Greatest Common Factor of 9887,5826 By Matching Biggest Common Factor Method

Now, list down the factors of 9887

1,9887

Now, list down the factors of 5826

1,2,3,6,971,1942,2913,5826

Greatest Common Factor

We found the factors 9887,5826 . The biggest common factor number is the GCF number.
So the greatest common factor 9887,5826 is 1.

Lets's calculate LCM of 240,4652

Lowest Common Multiple of 240,4652 using Common Division

2	240, 4652
2	120, 2326
	60, 1163

∴ So the LCM of the given numbers is 2 x 2 x 60 x 1163 = 279120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/279120

Therefore, the GCF of Fractions 9887/240,5826/4652 is 1/279120

Least Common Multiple of 240,4652 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 240,4652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,4652) = 4

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

GCF(240,4652) x common factors =4 x 1 = 4

LCM(240,4652) = ( 240 × 4652 ) / 4

LCM(240,4652) = 1116480 / 4

LCM(240,4652) = 279120

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FAQs on GCF of Fractions of 9887/240, 5826/4652

1. What is the HCF of 9887,5826?

The HCF of 9887,5826 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 9887/240, 5826/4652?

Answer: GCF of Numerators as per given numbers 9887/240, 5826/4652 is

GCF of Numerators i.e. for 9887,5826 is 1

LCM of denominators i.e. for 240,4652 is 279120.

Thus, GCF of Fractions is 1/279120.Finally, GCF of Fractions for 9887/240, 5826/4652 is 1/279120.