How to Find GCF of 5104/944, 7633/9184?

GCF of 5104/944, 7633/9184

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 5104/944, 7633/9184 i.e 1/541856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5104/944, 7633/9184.

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 5104/944,7633/9184?

Given fractions are 5104/944,7633/9184

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 5104/944,7633/9184, numerators are 5104,7633

Denominators are 944,9184

The GCF of 5104,7633 is 1 .

LCM of 944,9184 is 541856.

The greatest common factor of 5104/944,7633/9184 = [GCF of 5104,7633]/[LCM of 944,9184]= 1/541856

Therefore, the GCF of 5104/944,7633/9184 is 1/541856.

Greatest Common Factor of 5104,7633

To find the highest common factor of 5104,7633, we have to find the factors of both numbers and list the highest common factor.

The factors of 5104 are 1, 2, 4, 8, 11, 16, 22, 29, 44, 58, 88, 116, 176, 232, 319, 464, 638, 1276, 2552, 5104

The factors of 7633 are 1, 17, 449, 7633

The HCF of 5104,7633 is 1.

Lets's calculate GCF of 5104,7633

Greatest Common Factor (GCF) of 5104,7633 By Common Division

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

Greatest Common Factor of 5104,7633 By Matching Biggest Common Factor Method

Now, list down the factors of 5104

1,2,4,8,11,16,22,29,44,58,88,116,176,232,319,464,638,1276,2552,5104

Now, list down the factors of 7633

1,17,449,7633

Greatest Common Factor

We found the factors 5104,7633 . The biggest common factor number is the GCF number.
So the greatest common factor 5104,7633 is 1.

Lets's calculate LCM of 944,9184

Lowest Common Multiple of 944,9184 using Common Division

2	944, 9184
2	472, 4592
2	236, 2296
2	118, 1148
	59, 574

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 59 x 574 = 541856

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/541856

Therefore, the GCF of Fractions 5104/944,7633/9184 is 1/541856

Least Common Multiple of 944,9184 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 944,9184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(944,9184) = 16

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

GCF(944,9184) x common factors =16 x 1 = 16

LCM(944,9184) = ( 944 × 9184 ) / 16

LCM(944,9184) = 8669696 / 16

LCM(944,9184) = 541856

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5104/944, 7633/9184

1. What is the HCF of 5104,7633?

The HCF of 5104,7633 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 5104/944, 7633/9184?

Answer: GCF of Numerators as per given numbers 5104/944, 7633/9184 is

GCF of Numerators i.e. for 5104,7633 is 1

LCM of denominators i.e. for 944,9184 is 541856.

Thus, GCF of Fractions is 1/541856.Finally, GCF of Fractions for 5104/944, 7633/9184 is 1/541856.