Greatest Common Factor of 3700/804, 6666/430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3700/804, 6666/430

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 3700/804,6666/430

Given fractions are 3700/804,6666/430

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 3700,6666

Greatest Common Factor of Numerators i.e. GCF of 3700,6666 is 2 .

LCM of Denominators means LCM of 804,430 as per the given fractions.

LCM of 804,430 is 172860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3700,6666

GCF of Fractions 3700/804,6666/430 is 2/172860

2 3700, 6666
1850, 3333

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

Greatest Common Factor of 3700,6666 By Matching Biggest Common Factor Method

Greatest Common Factor of 3700,6666 By Matching Biggest Common Factor Method

Factors of 3700

List of positive integer factors of 3700 that divides 3700 without a remainder.

1,2,4,5,10,20,25,37,50,74,100,148,185,370,740,925,1850,3700

Factors of 6666

List of positive integer factors of 6666 that divides 6666 without a remainder.

1,2,3,6,11,22,33,66,101,202,303,606,1111,2222,3333,6666

Greatest Common Factor

We found the factors 3700,6666 . The biggest common factor number is the GCF number.
So the greatest common factor 3700,6666 is 2.

Lets's calculate LCM of 804,430

2 804, 430
402, 215

∴ So the LCM of the given numbers is 2 x 402 x 215 = 172860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/172860

Therefore, the GCF of Fractions 3700/804,6666/430 is 2/172860

Least Common Multiple of 804,430 with GCF Formula

Least Common Multiple of 804,430 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 804,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(804,430) = 2

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

GCF(804,430) x common factors =2 x 1 = 2

LCM(804,430) = ( 804 × 430 ) / 2

LCM(804,430) = 345720 / 2

LCM(804,430) = 172860


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 3700/804, 6666/430

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 3700/804, 6666/430?

Answer: GCF of Numerators as per given numbers 3700/804, 6666/430 is

GCF of Numerators i.e. for 3700,6666 is 2

LCM of denominators i.e. for 804,430 is 172860.

Thus, GCF of Fractions is 2/172860.Finally, GCF of Fractions for 3700/804, 6666/430 is 2/172860.