How to Find GCF of 9872/561, 7864/8389?

GCF of 9872/561, 7864/8389

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 9872/561, 7864/8389 i.e 8/4706229 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9872/561, 7864/8389.

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 9872/561,7864/8389?

Given fractions are 9872/561,7864/8389

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 9872/561,7864/8389, numerators are 9872,7864

Denominators are 561,8389

The GCF of 9872,7864 is 8 .

LCM of 561,8389 is 4706229.

The greatest common factor of 9872/561,7864/8389 = [GCF of 9872,7864]/[LCM of 561,8389]= 8/4706229

Therefore, the GCF of 9872/561,7864/8389 is 8/4706229.

Greatest Common Factor of 9872,7864

To find the highest common factor of 9872,7864, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 7864 are 1, 2, 4, 8, 983, 1966, 3932, 7864

The HCF of 9872,7864 is 8.

Lets's calculate GCF of 9872,7864

Greatest Common Factor (GCF) of 9872,7864 By Common Division

2	9872, 7864
2	4936, 3932
2	2468, 1966
	1234, 983

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

Greatest Common Factor of 9872,7864 By Matching Biggest Common Factor Method

Now, list down the factors of 9872

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

Now, list down the factors of 7864

1,2,4,8,983,1966,3932,7864

Greatest Common Factor

We found the factors 9872,7864 . The biggest common factor number is the GCF number.
So the greatest common factor 9872,7864 is 8.

Lets's calculate LCM of 561,8389

Lowest Common Multiple of 561,8389 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4706229

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/4706229

Therefore, the GCF of Fractions 9872/561,7864/8389 is 8/4706229

Least Common Multiple of 561,8389 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 561,8389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,8389) = 1

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

GCF(561,8389) x common factors =1 x 1 = 1

LCM(561,8389) = ( 561 × 8389 ) / 1

LCM(561,8389) = 4706229 / 1

LCM(561,8389) = 4706229

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FAQs on GCF of Fractions of 9872/561, 7864/8389

1. What is the HCF of 9872,7864?

The HCF of 9872,7864 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 9872/561, 7864/8389?

Answer: GCF of Numerators as per given numbers 9872/561, 7864/8389 is

GCF of Numerators i.e. for 9872,7864 is 8

LCM of denominators i.e. for 561,8389 is 4706229.

Thus, GCF of Fractions is 8/4706229.Finally, GCF of Fractions for 9872/561, 7864/8389 is 8/4706229.