Greatest Common Factor of 909/262, 3550/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 909/262, 3550/512

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 909/262,3550/512

Given fractions are 909/262,3550/512

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 909,3550

Greatest Common Factor of Numerators i.e. GCF of 909,3550 is 1 .

LCM of Denominators means LCM of 262,512 as per the given fractions.

LCM of 262,512 is 67072 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 909,3550

GCF of Fractions 909/262,3550/512 is 1/67072

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

Greatest Common Factor of 909,3550 By Matching Biggest Common Factor Method

Greatest Common Factor of 909,3550 By Matching Biggest Common Factor Method

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 3550

List of positive integer factors of 3550 that divides 3550 without a remainder.

1,2,5,10,25,50,71,142,355,710,1775,3550

Greatest Common Factor

We found the factors 909,3550 . The biggest common factor number is the GCF number.
So the greatest common factor 909,3550 is 1.

Lets's calculate LCM of 262,512

2 262, 512
131, 256

∴ So the LCM of the given numbers is 2 x 131 x 256 = 67072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67072

Therefore, the GCF of Fractions 909/262,3550/512 is 1/67072

Least Common Multiple of 262,512 with GCF Formula

Least Common Multiple of 262,512 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 262,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(262,512) = 2

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

GCF(262,512) x common factors =2 x 1 = 2

LCM(262,512) = ( 262 × 512 ) / 2

LCM(262,512) = 134144 / 2

LCM(262,512) = 67072


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 909/262, 3550/512

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 909/262, 3550/512?

Answer: GCF of Numerators as per given numbers 909/262, 3550/512 is

GCF of Numerators i.e. for 909,3550 is 1

LCM of denominators i.e. for 262,512 is 67072.

Thus, GCF of Fractions is 1/67072.Finally, GCF of Fractions for 909/262, 3550/512 is 1/67072.