Greatest Common Factor of 5509/493, 1422/6611

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5509/493, 1422/6611

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 5509/493,1422/6611

Given fractions are 5509/493,1422/6611

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 5509,1422

Greatest Common Factor of Numerators i.e. GCF of 5509,1422 is 1 .

LCM of Denominators means LCM of 493,6611 as per the given fractions.

LCM of 493,6611 is 3259223 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5509,1422

GCF of Fractions 5509/493,1422/6611 is 1/3259223

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

Greatest Common Factor of 5509,1422 By Matching Biggest Common Factor Method

Greatest Common Factor of 5509,1422 By Matching Biggest Common Factor Method

Factors of 5509

List of positive integer factors of 5509 that divides 5509 without a remainder.

1,7,787,5509

Factors of 1422

List of positive integer factors of 1422 that divides 1422 without a remainder.

1,2,3,6,9,18,79,158,237,474,711,1422

Greatest Common Factor

We found the factors 5509,1422 . The biggest common factor number is the GCF number.
So the greatest common factor 5509,1422 is 1.

Lets's calculate LCM of 493,6611

Given numbers has no common factors except 1. So, there LCM is their product i.e 3259223

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3259223

Therefore, the GCF of Fractions 5509/493,1422/6611 is 1/3259223

Least Common Multiple of 493,6611 with GCF Formula

Least Common Multiple of 493,6611 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 493,6611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,6611) = 1

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

GCF(493,6611) x common factors =1 x 1 = 1

LCM(493,6611) = ( 493 × 6611 ) / 1

LCM(493,6611) = 3259223 / 1

LCM(493,6611) = 3259223


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 5509/493, 1422/6611

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 5509/493, 1422/6611?

Answer: GCF of Numerators as per given numbers 5509/493, 1422/6611 is

GCF of Numerators i.e. for 5509,1422 is 1

LCM of denominators i.e. for 493,6611 is 3259223.

Thus, GCF of Fractions is 1/3259223.Finally, GCF of Fractions for 5509/493, 1422/6611 is 1/3259223.