How to Find GCF of 8269/244, 9944/8416?

GCF of 8269/244, 9944/8416

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 8269/244, 9944/8416 i.e 1/513376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8269/244, 9944/8416.

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 8269/244,9944/8416?

Given fractions are 8269/244,9944/8416

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 8269/244,9944/8416, numerators are 8269,9944

Denominators are 244,8416

The GCF of 8269,9944 is 1 .

LCM of 244,8416 is 513376.

The greatest common factor of 8269/244,9944/8416 = [GCF of 8269,9944]/[LCM of 244,8416]= 1/513376

Therefore, the GCF of 8269/244,9944/8416 is 1/513376.

Greatest Common Factor of 8269,9944

To find the highest common factor of 8269,9944, we have to find the factors of both numbers and list the highest common factor.

The factors of 8269 are 1, 8269

The factors of 9944 are 1, 2, 4, 8, 11, 22, 44, 88, 113, 226, 452, 904, 1243, 2486, 4972, 9944

The HCF of 8269,9944 is 1.

Lets's calculate GCF of 8269,9944

Greatest Common Factor (GCF) of 8269,9944 By Common Division

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

Greatest Common Factor of 8269,9944 By Matching Biggest Common Factor Method

Now, list down the factors of 8269

1,8269

Now, list down the factors of 9944

1,2,4,8,11,22,44,88,113,226,452,904,1243,2486,4972,9944

Greatest Common Factor

We found the factors 8269,9944 . The biggest common factor number is the GCF number.
So the greatest common factor 8269,9944 is 1.

Lets's calculate LCM of 244,8416

Lowest Common Multiple of 244,8416 using Common Division

2	244, 8416
2	122, 4208
	61, 2104

∴ So the LCM of the given numbers is 2 x 2 x 61 x 2104 = 513376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/513376

Therefore, the GCF of Fractions 8269/244,9944/8416 is 1/513376

Least Common Multiple of 244,8416 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 244,8416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(244,8416) = 4

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

GCF(244,8416) x common factors =4 x 1 = 4

LCM(244,8416) = ( 244 × 8416 ) / 4

LCM(244,8416) = 2053504 / 4

LCM(244,8416) = 513376

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FAQs on GCF of Fractions of 8269/244, 9944/8416

1. What is the HCF of 8269,9944?

The HCF of 8269,9944 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 8269/244, 9944/8416?

Answer: GCF of Numerators as per given numbers 8269/244, 9944/8416 is

GCF of Numerators i.e. for 8269,9944 is 1

LCM of denominators i.e. for 244,8416 is 513376.

Thus, GCF of Fractions is 1/513376.Finally, GCF of Fractions for 8269/244, 9944/8416 is 1/513376.