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GCF of 87/398, 9852/2239

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 87/398, 9852/2239 i.e 3/891122 easily. The following is the detailed procedure to determine the greatest common factor of fractions 87/398, 9852/2239.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 87/398,9852/2239?

Given fractions are 87/398,9852/2239

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 87/398,9852/2239, numerators are 87,9852

Denominators are 398,2239

The GCF of 87,9852 is 3 .

LCM of 398,2239 is 891122.

The greatest common factor of 87/398,9852/2239 = [GCF of 87,9852]/[LCM of 398,2239]= 3/891122

Therefore, the GCF of 87/398,9852/2239 is 3/891122.

Greatest Common Factor of 87,9852

To find the highest common factor of 87,9852, we have to find the factors of both numbers and list the highest common factor.

The factors of 87 are 1, 3, 29, 87

The factors of 9852 are 1, 2, 3, 4, 6, 12, 821, 1642, 2463, 3284, 4926, 9852

The HCF of 87,9852 is 3.

Lets's calculate GCF of 87,9852

Greatest Common Factor (GCF) of 87,9852 By Common Division

3 87, 9852
29, 3284

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 87,9852 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,9852 By Matching Biggest Common Factor Method

Now, list down the factors of 87

:

1,3,29,87

Now, list down the factors of 9852

:

1,2,3,4,6,12,821,1642,2463,3284,4926,9852

Greatest Common Factor

We found the factors 87,9852 . The biggest common factor number is the GCF number.
So the greatest common factor 87,9852 is 3.

Lets's calculate LCM of 398,2239

Lowest Common Multiple of 398,2239 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 891122

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/891122

Therefore, the GCF of Fractions 87/398,9852/2239 is 3/891122

Least Common Multiple of 398,2239 with GCF Formula

Least Common Multiple of 398,2239 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 398,2239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,2239) = 1

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

GCF(398,2239) x common factors =1 x 1 = 1

LCM(398,2239) = ( 398 × 2239 ) / 1

LCM(398,2239) = 891122 / 1

LCM(398,2239) = 891122


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FAQs on GCF of Fractions of 87/398, 9852/2239

1. What is the HCF of 87,9852?

The HCF of 87,9852 is 3

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 87/398, 9852/2239?

Answer: GCF of Numerators as per given numbers 87/398, 9852/2239 is

GCF of Numerators i.e. for 87,9852 is 3

LCM of denominators i.e. for 398,2239 is 891122.

Thus, GCF of Fractions is 3/891122.Finally, GCF of Fractions for 87/398, 9852/2239 is 3/891122.