How to Find GCF of 9365/454, 5425/3923?

GCF of 9365/454, 5425/3923

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 9365/454, 5425/3923 i.e 5/1781042 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9365/454, 5425/3923.

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 9365/454,5425/3923?

Given fractions are 9365/454,5425/3923

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 9365/454,5425/3923, numerators are 9365,5425

Denominators are 454,3923

The GCF of 9365,5425 is 5 .

LCM of 454,3923 is 1781042.

The greatest common factor of 9365/454,5425/3923 = [GCF of 9365,5425]/[LCM of 454,3923]= 5/1781042

Therefore, the GCF of 9365/454,5425/3923 is 5/1781042.

Greatest Common Factor of 9365,5425

To find the highest common factor of 9365,5425, we have to find the factors of both numbers and list the highest common factor.

The factors of 9365 are 1, 5, 1873, 9365

The factors of 5425 are 1, 5, 7, 25, 31, 35, 155, 175, 217, 775, 1085, 5425

The HCF of 9365,5425 is 5.

Lets's calculate GCF of 9365,5425

Greatest Common Factor (GCF) of 9365,5425 By Common Division

5	9365, 5425
	1873, 1085

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 9365,5425 By Matching Biggest Common Factor Method

Now, list down the factors of 9365

1,5,1873,9365

Now, list down the factors of 5425

1,5,7,25,31,35,155,175,217,775,1085,5425

Greatest Common Factor

We found the factors 9365,5425 . The biggest common factor number is the GCF number.
So the greatest common factor 9365,5425 is 5.

Lets's calculate LCM of 454,3923

Lowest Common Multiple of 454,3923 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1781042

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1781042

Therefore, the GCF of Fractions 9365/454,5425/3923 is 5/1781042

Least Common Multiple of 454,3923 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 454,3923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(454,3923) = 1

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

GCF(454,3923) x common factors =1 x 1 = 1

LCM(454,3923) = ( 454 × 3923 ) / 1

LCM(454,3923) = 1781042 / 1

LCM(454,3923) = 1781042

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9365/454, 5425/3923

1. What is the HCF of 9365,5425?

The HCF of 9365,5425 is 5

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 9365/454, 5425/3923?

Answer: GCF of Numerators as per given numbers 9365/454, 5425/3923 is

GCF of Numerators i.e. for 9365,5425 is 5

LCM of denominators i.e. for 454,3923 is 1781042.

Thus, GCF of Fractions is 5/1781042.Finally, GCF of Fractions for 9365/454, 5425/3923 is 5/1781042.