How to Find GCF of 7363/967, 2910/2255?

GCF of 7363/967, 2910/2255

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 7363/967, 2910/2255 i.e 1/2180585 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7363/967, 2910/2255.

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 7363/967,2910/2255?

Given fractions are 7363/967,2910/2255

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 7363/967,2910/2255, numerators are 7363,2910

Denominators are 967,2255

The GCF of 7363,2910 is 1 .

LCM of 967,2255 is 2180585.

The greatest common factor of 7363/967,2910/2255 = [GCF of 7363,2910]/[LCM of 967,2255]= 1/2180585

Therefore, the GCF of 7363/967,2910/2255 is 1/2180585.

Greatest Common Factor of 7363,2910

To find the highest common factor of 7363,2910, we have to find the factors of both numbers and list the highest common factor.

The factors of 7363 are 1, 37, 199, 7363

The factors of 2910 are 1, 2, 3, 5, 6, 10, 15, 30, 97, 194, 291, 485, 582, 970, 1455, 2910

The HCF of 7363,2910 is 1.

Lets's calculate GCF of 7363,2910

Greatest Common Factor (GCF) of 7363,2910 By Common Division

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

Greatest Common Factor of 7363,2910 By Matching Biggest Common Factor Method

Now, list down the factors of 7363

1,37,199,7363

Now, list down the factors of 2910

1,2,3,5,6,10,15,30,97,194,291,485,582,970,1455,2910

Greatest Common Factor

We found the factors 7363,2910 . The biggest common factor number is the GCF number.
So the greatest common factor 7363,2910 is 1.

Lets's calculate LCM of 967,2255

Lowest Common Multiple of 967,2255 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2180585

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2180585

Therefore, the GCF of Fractions 7363/967,2910/2255 is 1/2180585

Least Common Multiple of 967,2255 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 967,2255 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(967,2255) = 1

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

GCF(967,2255) x common factors =1 x 1 = 1

LCM(967,2255) = ( 967 × 2255 ) / 1

LCM(967,2255) = 2180585 / 1

LCM(967,2255) = 2180585

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7363/967, 2910/2255

1. What is the HCF of 7363,2910?

The HCF of 7363,2910 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 7363/967, 2910/2255?

Answer: GCF of Numerators as per given numbers 7363/967, 2910/2255 is

GCF of Numerators i.e. for 7363,2910 is 1

LCM of denominators i.e. for 967,2255 is 2180585.

Thus, GCF of Fractions is 1/2180585.Finally, GCF of Fractions for 7363/967, 2910/2255 is 1/2180585.