Greatest Common Factor of 816/482, 3553/991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 816/482, 3553/991

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 816/482,3553/991

Given fractions are 816/482,3553/991

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 816,3553

Greatest Common Factor of Numerators i.e. GCF of 816,3553 is 17 .

LCM of Denominators means LCM of 482,991 as per the given fractions.

LCM of 482,991 is 477662 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 816,3553

GCF of Fractions 816/482,3553/991 is 17/477662

17 816, 3553
48, 209

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 816,3553 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,3553 By Matching Biggest Common Factor Method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 3553

List of positive integer factors of 3553 that divides 3553 without a remainder.

1,11,17,19,187,209,323,3553

Greatest Common Factor

We found the factors 816,3553 . The biggest common factor number is the GCF number.
So the greatest common factor 816,3553 is 17.

Lets's calculate LCM of 482,991

Given numbers has no common factors except 1. So, there LCM is their product i.e 477662

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/477662

Therefore, the GCF of Fractions 816/482,3553/991 is 17/477662

Least Common Multiple of 482,991 with GCF Formula

Least Common Multiple of 482,991 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 482,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(482,991) = 1

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

GCF(482,991) x common factors =1 x 1 = 1

LCM(482,991) = ( 482 × 991 ) / 1

LCM(482,991) = 477662 / 1

LCM(482,991) = 477662


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 816/482, 3553/991

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 816/482, 3553/991?

Answer: GCF of Numerators as per given numbers 816/482, 3553/991 is

GCF of Numerators i.e. for 816,3553 is 17

LCM of denominators i.e. for 482,991 is 477662.

Thus, GCF of Fractions is 17/477662.Finally, GCF of Fractions for 816/482, 3553/991 is 17/477662.