Greatest Common Factor of 7396/826, 4510/963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7396/826, 4510/963

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 7396/826,4510/963

Given fractions are 7396/826,4510/963

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 7396,4510

Greatest Common Factor of Numerators i.e. GCF of 7396,4510 is 2 .

LCM of Denominators means LCM of 826,963 as per the given fractions.

LCM of 826,963 is 795438 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7396,4510

GCF of Fractions 7396/826,4510/963 is 2/795438

2 7396, 4510
3698, 2255

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

Greatest Common Factor of 7396,4510 By Matching Biggest Common Factor Method

Greatest Common Factor of 7396,4510 By Matching Biggest Common Factor Method

Factors of 7396

List of positive integer factors of 7396 that divides 7396 without a remainder.

1,2,4,43,86,172,1849,3698,7396

Factors of 4510

List of positive integer factors of 4510 that divides 4510 without a remainder.

1,2,5,10,11,22,41,55,82,110,205,410,451,902,2255,4510

Greatest Common Factor

We found the factors 7396,4510 . The biggest common factor number is the GCF number.
So the greatest common factor 7396,4510 is 2.

Lets's calculate LCM of 826,963

Given numbers has no common factors except 1. So, there LCM is their product i.e 795438

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/795438

Therefore, the GCF of Fractions 7396/826,4510/963 is 2/795438

Least Common Multiple of 826,963 with GCF Formula

Least Common Multiple of 826,963 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 826,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(826,963) = 1

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

GCF(826,963) x common factors =1 x 1 = 1

LCM(826,963) = ( 826 × 963 ) / 1

LCM(826,963) = 795438 / 1

LCM(826,963) = 795438


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 7396/826, 4510/963

1. 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.

2. What is the GCF of Fractions for 7396/826, 4510/963?

Answer: GCF of Numerators as per given numbers 7396/826, 4510/963 is

GCF of Numerators i.e. for 7396,4510 is 2

LCM of denominators i.e. for 826,963 is 795438.

Thus, GCF of Fractions is 2/795438.Finally, GCF of Fractions for 7396/826, 4510/963 is 2/795438.