How to Find GCF of 9196/496, 3941/9592?

GCF of 9196/496, 3941/9592

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 9196/496, 3941/9592 i.e 1/594704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9196/496, 3941/9592.

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 9196/496,3941/9592?

Given fractions are 9196/496,3941/9592

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 9196/496,3941/9592, numerators are 9196,3941

Denominators are 496,9592

The GCF of 9196,3941 is 1 .

LCM of 496,9592 is 594704.

The greatest common factor of 9196/496,3941/9592 = [GCF of 9196,3941]/[LCM of 496,9592]= 1/594704

Therefore, the GCF of 9196/496,3941/9592 is 1/594704.

Greatest Common Factor of 9196,3941

To find the highest common factor of 9196,3941, we have to find the factors of both numbers and list the highest common factor.

The factors of 9196 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 121, 209, 242, 418, 484, 836, 2299, 4598, 9196

The factors of 3941 are 1, 7, 563, 3941

The HCF of 9196,3941 is 1.

Lets's calculate GCF of 9196,3941

Greatest Common Factor (GCF) of 9196,3941 By Common Division

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

Greatest Common Factor of 9196,3941 By Matching Biggest Common Factor Method

Now, list down the factors of 9196

1,2,4,11,19,22,38,44,76,121,209,242,418,484,836,2299,4598,9196

Now, list down the factors of 3941

1,7,563,3941

Greatest Common Factor

We found the factors 9196,3941 . The biggest common factor number is the GCF number.
So the greatest common factor 9196,3941 is 1.

Lets's calculate LCM of 496,9592

Lowest Common Multiple of 496,9592 using Common Division

2	496, 9592
2	248, 4796
2	124, 2398
	62, 1199

∴ So the LCM of the given numbers is 2 x 2 x 2 x 62 x 1199 = 594704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/594704

Therefore, the GCF of Fractions 9196/496,3941/9592 is 1/594704

Least Common Multiple of 496,9592 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 496,9592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,9592) = 8

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

GCF(496,9592) x common factors =8 x 1 = 8

LCM(496,9592) = ( 496 × 9592 ) / 8

LCM(496,9592) = 4757632 / 8

LCM(496,9592) = 594704

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9196/496, 3941/9592

1. What is the HCF of 9196,3941?

The HCF of 9196,3941 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 9196/496, 3941/9592?

Answer: GCF of Numerators as per given numbers 9196/496, 3941/9592 is

GCF of Numerators i.e. for 9196,3941 is 1

LCM of denominators i.e. for 496,9592 is 594704.

Thus, GCF of Fractions is 1/594704.Finally, GCF of Fractions for 9196/496, 3941/9592 is 1/594704.