Greatest Common Factor of 5617/493, 1211/818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5617/493, 1211/818

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 5617/493,1211/818

Given fractions are 5617/493,1211/818

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 5617,1211

Greatest Common Factor of Numerators i.e. GCF of 5617,1211 is 1 .

LCM of Denominators means LCM of 493,818 as per the given fractions.

LCM of 493,818 is 403274 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5617,1211

GCF of Fractions 5617/493,1211/818 is 1/403274

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

Greatest Common Factor of 5617,1211 By Matching Biggest Common Factor Method

Greatest Common Factor of 5617,1211 By Matching Biggest Common Factor Method

Factors of 5617

List of positive integer factors of 5617 that divides 5617 without a remainder.

1,41,137,5617

Factors of 1211

List of positive integer factors of 1211 that divides 1211 without a remainder.

1,7,173,1211

Greatest Common Factor

We found the factors 5617,1211 . The biggest common factor number is the GCF number.
So the greatest common factor 5617,1211 is 1.

Lets's calculate LCM of 493,818

Given numbers has no common factors except 1. So, there LCM is their product i.e 403274

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/403274

Therefore, the GCF of Fractions 5617/493,1211/818 is 1/403274

Least Common Multiple of 493,818 with GCF Formula

Least Common Multiple of 493,818 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 493,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,818) = 1

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

GCF(493,818) x common factors =1 x 1 = 1

LCM(493,818) = ( 493 × 818 ) / 1

LCM(493,818) = 403274 / 1

LCM(493,818) = 403274


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 5617/493, 1211/818

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 5617/493, 1211/818?

Answer: GCF of Numerators as per given numbers 5617/493, 1211/818 is

GCF of Numerators i.e. for 5617,1211 is 1

LCM of denominators i.e. for 493,818 is 403274.

Thus, GCF of Fractions is 1/403274.Finally, GCF of Fractions for 5617/493, 1211/818 is 1/403274.