Greatest Common Factor of 4666/18, 7810/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4666/18, 7810/670

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 4666/18,7810/670

Given fractions are 4666/18,7810/670

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 4666,7810

Greatest Common Factor of Numerators i.e. GCF of 4666,7810 is 2 .

LCM of Denominators means LCM of 18,670 as per the given fractions.

LCM of 18,670 is 6030 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4666,7810

GCF of Fractions 4666/18,7810/670 is 2/6030

2 4666, 7810
2333, 3905

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

Greatest Common Factor of 4666,7810 By Matching Biggest Common Factor Method

Greatest Common Factor of 4666,7810 By Matching Biggest Common Factor Method

Factors of 4666

List of positive integer factors of 4666 that divides 4666 without a remainder.

1,2,2333,4666

Factors of 7810

List of positive integer factors of 7810 that divides 7810 without a remainder.

1,2,5,10,11,22,55,71,110,142,355,710,781,1562,3905,7810

Greatest Common Factor

We found the factors 4666,7810 . The biggest common factor number is the GCF number.
So the greatest common factor 4666,7810 is 2.

Lets's calculate LCM of 18,670

2 18, 670
9, 335

∴ So the LCM of the given numbers is 2 x 9 x 335 = 6030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6030

Therefore, the GCF of Fractions 4666/18,7810/670 is 2/6030

Least Common Multiple of 18,670 with GCF Formula

Least Common Multiple of 18,670 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 18,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,670) = 2

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

GCF(18,670) x common factors =2 x 1 = 2

LCM(18,670) = ( 18 × 670 ) / 2

LCM(18,670) = 12060 / 2

LCM(18,670) = 6030


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 4666/18, 7810/670

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 4666/18, 7810/670?

Answer: GCF of Numerators as per given numbers 4666/18, 7810/670 is

GCF of Numerators i.e. for 4666,7810 is 2

LCM of denominators i.e. for 18,670 is 6030.

Thus, GCF of Fractions is 2/6030.Finally, GCF of Fractions for 4666/18, 7810/670 is 2/6030.