Greatest Common Factor of 440/436, 550/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 440/436, 550/654

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 440/436,550/654

Given fractions are 440/436,550/654

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 440,550

Greatest Common Factor of Numerators i.e. GCF of 440,550 is 110 .

LCM of Denominators means LCM of 436,654 as per the given fractions.

LCM of 436,654 is 1308 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 440,550

GCF of Fractions 440/436,550/654 is 110/1308

2 440, 550
5 220, 275
11 44, 55
4, 5

∴ So the GCF of the given numbers is 2 x 5 x 11 = 110

Greatest Common Factor of 440,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,550 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors 440,550 . The biggest common factor number is the GCF number.
So the greatest common factor 440,550 is 110.

Lets's calculate LCM of 436,654

2 436, 654
109 218, 327
2, 3

∴ So the LCM of the given numbers is 2 x 109 x 2 x 3 = 1308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 110/1308

Therefore, the GCF of Fractions 440/436,550/654 is 110/1308

Least Common Multiple of 436,654 with GCF Formula

Least Common Multiple of 436,654 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 436,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(436,654) = 218

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

GCF(436,654) x common factors =218 x 1 = 218

LCM(436,654) = ( 436 × 654 ) / 218

LCM(436,654) = 285144 / 218

LCM(436,654) = 1308


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 440/436, 550/654

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 440/436, 550/654?

Answer: GCF of Numerators as per given numbers 440/436, 550/654 is

GCF of Numerators i.e. for 440,550 is 110

LCM of denominators i.e. for 436,654 is 1308.

Thus, GCF of Fractions is 110/1308.Finally, GCF of Fractions for 440/436, 550/654 is 110/1308.