Greatest Common Factor of 4963/746, 9434/9935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4963/746, 9434/9935

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 4963/746,9434/9935

Given fractions are 4963/746,9434/9935

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 4963,9434

Greatest Common Factor of Numerators i.e. GCF of 4963,9434 is 1 .

LCM of Denominators means LCM of 746,9935 as per the given fractions.

LCM of 746,9935 is 7411510 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4963,9434

GCF of Fractions 4963/746,9434/9935 is 1/7411510

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

Greatest Common Factor of 4963,9434 By Matching Biggest Common Factor Method

Greatest Common Factor of 4963,9434 By Matching Biggest Common Factor Method

Factors of 4963

List of positive integer factors of 4963 that divides 4963 without a remainder.

1,7,709,4963

Factors of 9434

List of positive integer factors of 9434 that divides 9434 without a remainder.

1,2,53,89,106,178,4717,9434

Greatest Common Factor

We found the factors 4963,9434 . The biggest common factor number is the GCF number.
So the greatest common factor 4963,9434 is 1.

Lets's calculate LCM of 746,9935

Given numbers has no common factors except 1. So, there LCM is their product i.e 7411510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7411510

Therefore, the GCF of Fractions 4963/746,9434/9935 is 1/7411510

Least Common Multiple of 746,9935 with GCF Formula

Least Common Multiple of 746,9935 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 746,9935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,9935) = 1

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

GCF(746,9935) x common factors =1 x 1 = 1

LCM(746,9935) = ( 746 × 9935 ) / 1

LCM(746,9935) = 7411510 / 1

LCM(746,9935) = 7411510


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 4963/746, 9434/9935

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 4963/746, 9434/9935?

Answer: GCF of Numerators as per given numbers 4963/746, 9434/9935 is

GCF of Numerators i.e. for 4963,9434 is 1

LCM of denominators i.e. for 746,9935 is 7411510.

Thus, GCF of Fractions is 1/7411510.Finally, GCF of Fractions for 4963/746, 9434/9935 is 1/7411510.