Greatest Common Factor of 5500/569, 1771/644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5500/569, 1771/644

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 5500/569,1771/644

Given fractions are 5500/569,1771/644

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 5500,1771

Greatest Common Factor of Numerators i.e. GCF of 5500,1771 is 11 .

LCM of Denominators means LCM of 569,644 as per the given fractions.

LCM of 569,644 is 366436 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5500,1771

GCF of Fractions 5500/569,1771/644 is 11/366436

11 5500, 1771
500, 161

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 5500,1771 By Matching Biggest Common Factor Method

Greatest Common Factor of 5500,1771 By Matching Biggest Common Factor Method

Factors of 5500

List of positive integer factors of 5500 that divides 5500 without a remainder.

1,2,4,5,10,11,20,22,25,44,50,55,100,110,125,220,250,275,500,550,1100,1375,2750,5500

Factors of 1771

List of positive integer factors of 1771 that divides 1771 without a remainder.

1,7,11,23,77,161,253,1771

Greatest Common Factor

We found the factors 5500,1771 . The biggest common factor number is the GCF number.
So the greatest common factor 5500,1771 is 11.

Lets's calculate LCM of 569,644

Given numbers has no common factors except 1. So, there LCM is their product i.e 366436

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/366436

Therefore, the GCF of Fractions 5500/569,1771/644 is 11/366436

Least Common Multiple of 569,644 with GCF Formula

Least Common Multiple of 569,644 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 569,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(569,644) = 1

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

GCF(569,644) x common factors =1 x 1 = 1

LCM(569,644) = ( 569 × 644 ) / 1

LCM(569,644) = 366436 / 1

LCM(569,644) = 366436


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 5500/569, 1771/644

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 5500/569, 1771/644?

Answer: GCF of Numerators as per given numbers 5500/569, 1771/644 is

GCF of Numerators i.e. for 5500,1771 is 11

LCM of denominators i.e. for 569,644 is 366436.

Thus, GCF of Fractions is 11/366436.Finally, GCF of Fractions for 5500/569, 1771/644 is 11/366436.