Greatest Common Factor of 830/850, 9223/559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 830/850, 9223/559

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 830/850,9223/559

Given fractions are 830/850,9223/559

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 830,9223

Greatest Common Factor of Numerators i.e. GCF of 830,9223 is 1 .

LCM of Denominators means LCM of 850,559 as per the given fractions.

LCM of 850,559 is 475150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 830,9223

GCF of Fractions 830/850,9223/559 is 1/475150

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

Greatest Common Factor of 830,9223 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,9223 By Matching Biggest Common Factor Method

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 9223

List of positive integer factors of 9223 that divides 9223 without a remainder.

1,23,401,9223

Greatest Common Factor

We found the factors 830,9223 . The biggest common factor number is the GCF number.
So the greatest common factor 830,9223 is 1.

Lets's calculate LCM of 850,559

Given numbers has no common factors except 1. So, there LCM is their product i.e 475150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/475150

Therefore, the GCF of Fractions 830/850,9223/559 is 1/475150

Least Common Multiple of 850,559 with GCF Formula

Least Common Multiple of 850,559 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 850,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(850,559) = 1

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

GCF(850,559) x common factors =1 x 1 = 1

LCM(850,559) = ( 850 × 559 ) / 1

LCM(850,559) = 475150 / 1

LCM(850,559) = 475150


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 830/850, 9223/559

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 830/850, 9223/559?

Answer: GCF of Numerators as per given numbers 830/850, 9223/559 is

GCF of Numerators i.e. for 830,9223 is 1

LCM of denominators i.e. for 850,559 is 475150.

Thus, GCF of Fractions is 1/475150.Finally, GCF of Fractions for 830/850, 9223/559 is 1/475150.