Greatest Common Factor of 165/4269, 220/3657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 165/4269, 220/3657

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 165/4269,220/3657

Given fractions are 165/4269,220/3657

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 165,220

Greatest Common Factor of Numerators i.e. GCF of 165,220 is 55 .

LCM of Denominators means LCM of 4269,3657 as per the given fractions.

LCM of 4269,3657 is 5203911 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 165,220

GCF of Fractions 165/4269,220/3657 is 55/5203911

5 165, 220
11 33, 44
3, 4

∴ So the GCF of the given numbers is 5 x 11 = 55

Greatest Common Factor of 165,220 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,220 By Matching Biggest Common Factor Method

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Greatest Common Factor

We found the factors 165,220 . The biggest common factor number is the GCF number.
So the greatest common factor 165,220 is 55.

Lets's calculate LCM of 4269,3657

3 4269, 3657
1423, 1219

∴ So the LCM of the given numbers is 3 x 1423 x 1219 = 5203911

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 55/5203911

Therefore, the GCF of Fractions 165/4269,220/3657 is 55/5203911

Least Common Multiple of 4269,3657 with GCF Formula

Least Common Multiple of 4269,3657 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 4269,3657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4269,3657) = 3

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

GCF(4269,3657) x common factors =3 x 1 = 3

LCM(4269,3657) = ( 4269 × 3657 ) / 3

LCM(4269,3657) = 15611733 / 3

LCM(4269,3657) = 5203911


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 165/4269, 220/3657

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 165/4269, 220/3657?

Answer: GCF of Numerators as per given numbers 165/4269, 220/3657 is

GCF of Numerators i.e. for 165,220 is 55

LCM of denominators i.e. for 4269,3657 is 5203911.

Thus, GCF of Fractions is 55/5203911.Finally, GCF of Fractions for 165/4269, 220/3657 is 55/5203911.