Greatest Common Factor of 1970/386, 6800/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1970/386, 6800/561

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 1970/386,6800/561

Given fractions are 1970/386,6800/561

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 1970,6800

Greatest Common Factor of Numerators i.e. GCF of 1970,6800 is 10 .

LCM of Denominators means LCM of 386,561 as per the given fractions.

LCM of 386,561 is 216546 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1970,6800

GCF of Fractions 1970/386,6800/561 is 10/216546

2 1970, 6800
5 985, 3400
197, 680

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 1970,6800 By Matching Biggest Common Factor Method

Greatest Common Factor of 1970,6800 By Matching Biggest Common Factor Method

Factors of 1970

List of positive integer factors of 1970 that divides 1970 without a remainder.

1,2,5,10,197,394,985,1970

Factors of 6800

List of positive integer factors of 6800 that divides 6800 without a remainder.

1,2,4,5,8,10,16,17,20,25,34,40,50,68,80,85,100,136,170,200,272,340,400,425,680,850,1360,1700,3400,6800

Greatest Common Factor

We found the factors 1970,6800 . The biggest common factor number is the GCF number.
So the greatest common factor 1970,6800 is 10.

Lets's calculate LCM of 386,561

Given numbers has no common factors except 1. So, there LCM is their product i.e 216546

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/216546

Therefore, the GCF of Fractions 1970/386,6800/561 is 10/216546

Least Common Multiple of 386,561 with GCF Formula

Least Common Multiple of 386,561 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 386,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(386,561) = 1

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

GCF(386,561) x common factors =1 x 1 = 1

LCM(386,561) = ( 386 × 561 ) / 1

LCM(386,561) = 216546 / 1

LCM(386,561) = 216546


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 1970/386, 6800/561

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 1970/386, 6800/561?

Answer: GCF of Numerators as per given numbers 1970/386, 6800/561 is

GCF of Numerators i.e. for 1970,6800 is 10

LCM of denominators i.e. for 386,561 is 216546.

Thus, GCF of Fractions is 10/216546.Finally, GCF of Fractions for 1970/386, 6800/561 is 10/216546.