Greatest Common Factor of 400/86, 626/44, 947/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 400/86, 626/44, 947/800

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 400/86,626/44,947/800

Given fractions are 400/86,626/44,947/800

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 400,626,947

Greatest Common Factor of Numerators i.e. GCF of 400,626,947 is 1 .

LCM of Denominators means LCM of 86,44,800 as per the given fractions.

LCM of 86,44,800 is 378400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 400,626,947

GCF of Fractions 400/86,626/44,947/800 is 1/378400

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

Greatest Common Factor of 400,626,947 By Matching Biggest Common Factor Method

Greatest Common Factor of 400,626,947 By Matching Biggest Common Factor Method

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Factors of 947

List of positive integer factors of 947 that divides 947 without a remainder.

1,947

Greatest Common Factor

We found the factors 400,626,947 . The biggest common factor number is the GCF number.
So the greatest common factor 400,626,947 is 1.

Lets's calculate LCM of 86,44,800

2 86, 44, 800
2 43, 22, 400
43, 11, 200

∴ So the LCM of the given numbers is 2 x 2 x 43 x 11 x 200 = 378400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/378400

Therefore, the GCF of Fractions 400/86,626/44,947/800 is 1/378400

Least Common Multiple of 86,44,800 with GCF Formula

Least Common Multiple of 86,44,800 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 86,44,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,44,800) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(86,44,800) x common factors =2 x 4 = 8

LCM(86,44,800) = ( 86 × 44 × 800 ) / 8

LCM(86,44,800) = 3027200 / 8

LCM(86,44,800) = 378400


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 400/86, 626/44, 947/800

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 400/86, 626/44, 947/800?

Answer: GCF of Numerators as per given numbers 400/86, 626/44, 947/800 is

GCF of Numerators i.e. for 400,626,947 is 1

LCM of denominators i.e. for 86,44,800 is 378400.

Thus, GCF of Fractions is 1/378400.Finally, GCF of Fractions for 400/86, 626/44, 947/800 is 1/378400.