Greatest Common Factor of 9866/463, 1516/1528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9866/463, 1516/1528

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 9866/463,1516/1528

Given fractions are 9866/463,1516/1528

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 9866,1516

Greatest Common Factor of Numerators i.e. GCF of 9866,1516 is 2 .

LCM of Denominators means LCM of 463,1528 as per the given fractions.

LCM of 463,1528 is 707464 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9866,1516

GCF of Fractions 9866/463,1516/1528 is 2/707464

2 9866, 1516
4933, 758

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

Greatest Common Factor of 9866,1516 By Matching Biggest Common Factor Method

Greatest Common Factor of 9866,1516 By Matching Biggest Common Factor Method

Factors of 9866

List of positive integer factors of 9866 that divides 9866 without a remainder.

1,2,4933,9866

Factors of 1516

List of positive integer factors of 1516 that divides 1516 without a remainder.

1,2,4,379,758,1516

Greatest Common Factor

We found the factors 9866,1516 . The biggest common factor number is the GCF number.
So the greatest common factor 9866,1516 is 2.

Lets's calculate LCM of 463,1528

Given numbers has no common factors except 1. So, there LCM is their product i.e 707464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/707464

Therefore, the GCF of Fractions 9866/463,1516/1528 is 2/707464

Least Common Multiple of 463,1528 with GCF Formula

Least Common Multiple of 463,1528 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 463,1528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(463,1528) = 1

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

GCF(463,1528) x common factors =1 x 1 = 1

LCM(463,1528) = ( 463 × 1528 ) / 1

LCM(463,1528) = 707464 / 1

LCM(463,1528) = 707464


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 9866/463, 1516/1528

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 9866/463, 1516/1528?

Answer: GCF of Numerators as per given numbers 9866/463, 1516/1528 is

GCF of Numerators i.e. for 9866,1516 is 2

LCM of denominators i.e. for 463,1528 is 707464.

Thus, GCF of Fractions is 2/707464.Finally, GCF of Fractions for 9866/463, 1516/1528 is 2/707464.