Greatest Common Factor of 1406/511, 6340/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1406/511, 6340/820

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 1406/511,6340/820

Given fractions are 1406/511,6340/820

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 1406,6340

Greatest Common Factor of Numerators i.e. GCF of 1406,6340 is 2 .

LCM of Denominators means LCM of 511,820 as per the given fractions.

LCM of 511,820 is 419020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1406,6340

GCF of Fractions 1406/511,6340/820 is 2/419020

2 1406, 6340
703, 3170

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

Greatest Common Factor of 1406,6340 By Matching Biggest Common Factor Method

Greatest Common Factor of 1406,6340 By Matching Biggest Common Factor Method

Factors of 1406

List of positive integer factors of 1406 that divides 1406 without a remainder.

1,2,19,37,38,74,703,1406

Factors of 6340

List of positive integer factors of 6340 that divides 6340 without a remainder.

1,2,4,5,10,20,317,634,1268,1585,3170,6340

Greatest Common Factor

We found the factors 1406,6340 . The biggest common factor number is the GCF number.
So the greatest common factor 1406,6340 is 2.

Lets's calculate LCM of 511,820

Given numbers has no common factors except 1. So, there LCM is their product i.e 419020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/419020

Therefore, the GCF of Fractions 1406/511,6340/820 is 2/419020

Least Common Multiple of 511,820 with GCF Formula

Least Common Multiple of 511,820 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 511,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(511,820) = 1

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

GCF(511,820) x common factors =1 x 1 = 1

LCM(511,820) = ( 511 × 820 ) / 1

LCM(511,820) = 419020 / 1

LCM(511,820) = 419020


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 1406/511, 6340/820

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 1406/511, 6340/820?

Answer: GCF of Numerators as per given numbers 1406/511, 6340/820 is

GCF of Numerators i.e. for 1406,6340 is 2

LCM of denominators i.e. for 511,820 is 419020.

Thus, GCF of Fractions is 2/419020.Finally, GCF of Fractions for 1406/511, 6340/820 is 2/419020.