Greatest Common Factor of 213/61, 862/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 213/61, 862/830

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 213/61,862/830

Given fractions are 213/61,862/830

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 213,862

Greatest Common Factor of Numerators i.e. GCF of 213,862 is 1 .

LCM of Denominators means LCM of 61,830 as per the given fractions.

LCM of 61,830 is 50630 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 213,862

GCF of Fractions 213/61,862/830 is 1/50630

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

Greatest Common Factor of 213,862 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,862 By Matching Biggest Common Factor Method

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Greatest Common Factor

We found the factors 213,862 . The biggest common factor number is the GCF number.
So the greatest common factor 213,862 is 1.

Lets's calculate LCM of 61,830

Given numbers has no common factors except 1. So, there LCM is their product i.e 50630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50630

Therefore, the GCF of Fractions 213/61,862/830 is 1/50630

Least Common Multiple of 61,830 with GCF Formula

Least Common Multiple of 61,830 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 61,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,830) = 1

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

GCF(61,830) x common factors =1 x 1 = 1

LCM(61,830) = ( 61 × 830 ) / 1

LCM(61,830) = 50630 / 1

LCM(61,830) = 50630


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 213/61, 862/830

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 213/61, 862/830?

Answer: GCF of Numerators as per given numbers 213/61, 862/830 is

GCF of Numerators i.e. for 213,862 is 1

LCM of denominators i.e. for 61,830 is 50630.

Thus, GCF of Fractions is 1/50630.Finally, GCF of Fractions for 213/61, 862/830 is 1/50630.