Greatest Common Factor of 830/10, 622/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 830/10, 622/513

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 830/10,622/513

Given fractions are 830/10,622/513

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 830,622

Greatest Common Factor of Numerators i.e. GCF of 830,622 is 2 .

LCM of Denominators means LCM of 10,513 as per the given fractions.

LCM of 10,513 is 5130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 830,622

GCF of Fractions 830/10,622/513 is 2/5130

2 830, 622
415, 311

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 830,622 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,622 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 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Greatest Common Factor

We found the factors 830,622 . The biggest common factor number is the GCF number.
So the greatest common factor 830,622 is 2.

Lets's calculate LCM of 10,513

Given numbers has no common factors except 1. So, there LCM is their product i.e 5130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5130

Therefore, the GCF of Fractions 830/10,622/513 is 2/5130

Least Common Multiple of 10,513 with GCF Formula

Least Common Multiple of 10,513 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 10,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,513) = 1

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

GCF(10,513) x common factors =1 x 1 = 1

LCM(10,513) = ( 10 × 513 ) / 1

LCM(10,513) = 5130 / 1

LCM(10,513) = 5130


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 830/10, 622/513

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 830/10, 622/513?

Answer: GCF of Numerators as per given numbers 830/10, 622/513 is

GCF of Numerators i.e. for 830,622 is 2

LCM of denominators i.e. for 10,513 is 5130.

Thus, GCF of Fractions is 2/5130.Finally, GCF of Fractions for 830/10, 622/513 is 2/5130.