How to Find GCF of 3844/445, 9544/317?

GCF of 3844/445, 9544/317

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 3844/445, 9544/317 i.e 4/141065 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3844/445, 9544/317.

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 3844/445,9544/317?

Given fractions are 3844/445,9544/317

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 3844/445,9544/317, numerators are 3844,9544

Denominators are 445,317

The GCF of 3844,9544 is 4 .

LCM of 445,317 is 141065.

The greatest common factor of 3844/445,9544/317 = [GCF of 3844,9544]/[LCM of 445,317]= 4/141065

Therefore, the GCF of 3844/445,9544/317 is 4/141065.

Greatest Common Factor of 3844,9544

To find the highest common factor of 3844,9544, we have to find the factors of both numbers and list the highest common factor.

The factors of 3844 are 1, 2, 4, 31, 62, 124, 961, 1922, 3844

The factors of 9544 are 1, 2, 4, 8, 1193, 2386, 4772, 9544

The HCF of 3844,9544 is 4.

Lets's calculate GCF of 3844,9544

Greatest Common Factor (GCF) of 3844,9544 By Common Division

2	3844, 9544
2	1922, 4772
	961, 2386

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3844,9544 By Matching Biggest Common Factor Method

Now, list down the factors of 3844

1,2,4,31,62,124,961,1922,3844

Now, list down the factors of 9544

1,2,4,8,1193,2386,4772,9544

Greatest Common Factor

We found the factors 3844,9544 . The biggest common factor number is the GCF number.
So the greatest common factor 3844,9544 is 4.

Lets's calculate LCM of 445,317

Lowest Common Multiple of 445,317 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 141065

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/141065

Therefore, the GCF of Fractions 3844/445,9544/317 is 4/141065

Least Common Multiple of 445,317 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 445,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(445,317) = 1

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

GCF(445,317) x common factors =1 x 1 = 1

LCM(445,317) = ( 445 × 317 ) / 1

LCM(445,317) = 141065 / 1

LCM(445,317) = 141065

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FAQs on GCF of Fractions of 3844/445, 9544/317

1. What is the HCF of 3844,9544?

The HCF of 3844,9544 is 4

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 3844/445, 9544/317?

Answer: GCF of Numerators as per given numbers 3844/445, 9544/317 is

GCF of Numerators i.e. for 3844,9544 is 4

LCM of denominators i.e. for 445,317 is 141065.

Thus, GCF of Fractions is 4/141065.Finally, GCF of Fractions for 3844/445, 9544/317 is 4/141065.