How to Find GCF of 8656/944, 8043/2036?

GCF of 8656/944, 8043/2036

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 8656/944, 8043/2036 i.e 1/480496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8656/944, 8043/2036.

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 8656/944,8043/2036?

Given fractions are 8656/944,8043/2036

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 8656/944,8043/2036, numerators are 8656,8043

Denominators are 944,2036

The GCF of 8656,8043 is 1 .

LCM of 944,2036 is 480496.

The greatest common factor of 8656/944,8043/2036 = [GCF of 8656,8043]/[LCM of 944,2036]= 1/480496

Therefore, the GCF of 8656/944,8043/2036 is 1/480496.

Greatest Common Factor of 8656,8043

To find the highest common factor of 8656,8043, we have to find the factors of both numbers and list the highest common factor.

The factors of 8656 are 1, 2, 4, 8, 16, 541, 1082, 2164, 4328, 8656

The factors of 8043 are 1, 3, 7, 21, 383, 1149, 2681, 8043

The HCF of 8656,8043 is 1.

Lets's calculate GCF of 8656,8043

Greatest Common Factor (GCF) of 8656,8043 By Common Division

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

Greatest Common Factor of 8656,8043 By Matching Biggest Common Factor Method

Now, list down the factors of 8656

1,2,4,8,16,541,1082,2164,4328,8656

Now, list down the factors of 8043

1,3,7,21,383,1149,2681,8043

Greatest Common Factor

We found the factors 8656,8043 . The biggest common factor number is the GCF number.
So the greatest common factor 8656,8043 is 1.

Lets's calculate LCM of 944,2036

Lowest Common Multiple of 944,2036 using Common Division

2	944, 2036
2	472, 1018
	236, 509

∴ So the LCM of the given numbers is 2 x 2 x 236 x 509 = 480496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/480496

Therefore, the GCF of Fractions 8656/944,8043/2036 is 1/480496

Least Common Multiple of 944,2036 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 944,2036 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(944,2036) = 4

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

GCF(944,2036) x common factors =4 x 1 = 4

LCM(944,2036) = ( 944 × 2036 ) / 4

LCM(944,2036) = 1921984 / 4

LCM(944,2036) = 480496

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FAQs on GCF of Fractions of 8656/944, 8043/2036

1. What is the HCF of 8656,8043?

The HCF of 8656,8043 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 8656/944, 8043/2036?

Answer: GCF of Numerators as per given numbers 8656/944, 8043/2036 is

GCF of Numerators i.e. for 8656,8043 is 1

LCM of denominators i.e. for 944,2036 is 480496.

Thus, GCF of Fractions is 1/480496.Finally, GCF of Fractions for 8656/944, 8043/2036 is 1/480496.