Greatest Common Factor of 210/122, 783/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 210/122, 783/421

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 210/122,783/421

Given fractions are 210/122,783/421

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 210,783

Greatest Common Factor of Numerators i.e. GCF of 210,783 is 3 .

LCM of Denominators means LCM of 122,421 as per the given fractions.

LCM of 122,421 is 51362 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 210,783

GCF of Fractions 210/122,783/421 is 3/51362

3 210, 783
70, 261

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 210,783 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,783 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Greatest Common Factor

We found the factors 210,783 . The biggest common factor number is the GCF number.
So the greatest common factor 210,783 is 3.

Lets's calculate LCM of 122,421

Given numbers has no common factors except 1. So, there LCM is their product i.e 51362

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/51362

Therefore, the GCF of Fractions 210/122,783/421 is 3/51362

Least Common Multiple of 122,421 with GCF Formula

Least Common Multiple of 122,421 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 122,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(122,421) = 1

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

GCF(122,421) x common factors =1 x 1 = 1

LCM(122,421) = ( 122 × 421 ) / 1

LCM(122,421) = 51362 / 1

LCM(122,421) = 51362


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 210/122, 783/421

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 210/122, 783/421?

Answer: GCF of Numerators as per given numbers 210/122, 783/421 is

GCF of Numerators i.e. for 210,783 is 3

LCM of denominators i.e. for 122,421 is 51362.

Thus, GCF of Fractions is 3/51362.Finally, GCF of Fractions for 210/122, 783/421 is 3/51362.