Greatest Common Factor of 400/3828, 286/7682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 400/3828, 286/7682

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 400/3828,286/7682

Given fractions are 400/3828,286/7682

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 400,286

Greatest Common Factor of Numerators i.e. GCF of 400,286 is 2 .

LCM of Denominators means LCM of 3828,7682 as per the given fractions.

LCM of 3828,7682 is 14703348 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 400,286

GCF of Fractions 400/3828,286/7682 is 2/14703348

2 400, 286
200, 143

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

Greatest Common Factor of 400,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 400,286 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 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 400,286 . The biggest common factor number is the GCF number.
So the greatest common factor 400,286 is 2.

Lets's calculate LCM of 3828,7682

2 3828, 7682
1914, 3841

∴ So the LCM of the given numbers is 2 x 1914 x 3841 = 14703348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14703348

Therefore, the GCF of Fractions 400/3828,286/7682 is 2/14703348

Least Common Multiple of 3828,7682 with GCF Formula

Least Common Multiple of 3828,7682 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 3828,7682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3828,7682) = 2

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

GCF(3828,7682) x common factors =2 x 1 = 2

LCM(3828,7682) = ( 3828 × 7682 ) / 2

LCM(3828,7682) = 29406696 / 2

LCM(3828,7682) = 14703348


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 400/3828, 286/7682

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 400/3828, 286/7682?

Answer: GCF of Numerators as per given numbers 400/3828, 286/7682 is

GCF of Numerators i.e. for 400,286 is 2

LCM of denominators i.e. for 3828,7682 is 14703348.

Thus, GCF of Fractions is 2/14703348.Finally, GCF of Fractions for 400/3828, 286/7682 is 2/14703348.