Greatest Common Factor of 668/840, 7830/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 668/840, 7830/221

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 668/840,7830/221

Given fractions are 668/840,7830/221

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 668,7830

Greatest Common Factor of Numerators i.e. GCF of 668,7830 is 2 .

LCM of Denominators means LCM of 840,221 as per the given fractions.

LCM of 840,221 is 185640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 668,7830

GCF of Fractions 668/840,7830/221 is 2/185640

2 668, 7830
334, 3915

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

Greatest Common Factor of 668,7830 By Matching Biggest Common Factor Method

Greatest Common Factor of 668,7830 By Matching Biggest Common Factor Method

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Factors of 7830

List of positive integer factors of 7830 that divides 7830 without a remainder.

1,2,3,5,6,9,10,15,18,27,29,30,45,54,58,87,90,135,145,174,261,270,290,435,522,783,870,1305,1566,2610,3915,7830

Greatest Common Factor

We found the factors 668,7830 . The biggest common factor number is the GCF number.
So the greatest common factor 668,7830 is 2.

Lets's calculate LCM of 840,221

Given numbers has no common factors except 1. So, there LCM is their product i.e 185640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/185640

Therefore, the GCF of Fractions 668/840,7830/221 is 2/185640

Least Common Multiple of 840,221 with GCF Formula

Least Common Multiple of 840,221 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 840,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,221) = 1

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

GCF(840,221) x common factors =1 x 1 = 1

LCM(840,221) = ( 840 × 221 ) / 1

LCM(840,221) = 185640 / 1

LCM(840,221) = 185640


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 668/840, 7830/221

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 668/840, 7830/221?

Answer: GCF of Numerators as per given numbers 668/840, 7830/221 is

GCF of Numerators i.e. for 668,7830 is 2

LCM of denominators i.e. for 840,221 is 185640.

Thus, GCF of Fractions is 2/185640.Finally, GCF of Fractions for 668/840, 7830/221 is 2/185640.