Greatest Common Factor of 699/40, 407/47, 346/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 699/40, 407/47, 346/904

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 699/40,407/47,346/904

Given fractions are 699/40,407/47,346/904

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 699,407,346

Greatest Common Factor of Numerators i.e. GCF of 699,407,346 is 1 .

LCM of Denominators means LCM of 40,47,904 as per the given fractions.

LCM of 40,47,904 is 212440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 699,407,346

GCF of Fractions 699/40,407/47,346/904 is 1/212440

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 699,407,346 By Matching Biggest Common Factor Method

Greatest Common Factor of 699,407,346 By Matching Biggest Common Factor Method

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Greatest Common Factor

We found the factors 699,407,346 . The biggest common factor number is the GCF number.
So the greatest common factor 699,407,346 is 1.

Lets's calculate LCM of 40,47,904

2 40, 47, 904
2 20, 47, 452
2 10, 47, 226
5, 47, 113

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 47 x 113 = 212440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/212440

Therefore, the GCF of Fractions 699/40,407/47,346/904 is 1/212440

Least Common Multiple of 40,47,904 with GCF Formula

Least Common Multiple of 40,47,904 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 40,47,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,47,904) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(40,47,904) x common factors =1 x 8 = 8

LCM(40,47,904) = ( 40 × 47 × 904 ) / 8

LCM(40,47,904) = 1699520 / 8

LCM(40,47,904) = 212440


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 699/40, 407/47, 346/904

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 699/40, 407/47, 346/904?

Answer: GCF of Numerators as per given numbers 699/40, 407/47, 346/904 is

GCF of Numerators i.e. for 699,407,346 is 1

LCM of denominators i.e. for 40,47,904 is 212440.

Thus, GCF of Fractions is 1/212440.Finally, GCF of Fractions for 699/40, 407/47, 346/904 is 1/212440.