Greatest Common Factor of 412/825, 3700/2844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 412/825, 3700/2844

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 412/825,3700/2844

Given fractions are 412/825,3700/2844

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 412,3700

Greatest Common Factor of Numerators i.e. GCF of 412,3700 is 4 .

LCM of Denominators means LCM of 825,2844 as per the given fractions.

LCM of 825,2844 is 782100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 412,3700

GCF of Fractions 412/825,3700/2844 is 4/782100

2 412, 3700
2 206, 1850
103, 925

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 412,3700 By Matching Biggest Common Factor Method

Greatest Common Factor of 412,3700 By Matching Biggest Common Factor Method

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

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

Greatest Common Factor

We found the factors 412,3700 . The biggest common factor number is the GCF number.
So the greatest common factor 412,3700 is 4.

Lets's calculate LCM of 825,2844

3 825, 2844
275, 948

∴ So the LCM of the given numbers is 3 x 275 x 948 = 782100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/782100

Therefore, the GCF of Fractions 412/825,3700/2844 is 4/782100

Least Common Multiple of 825,2844 with GCF Formula

Least Common Multiple of 825,2844 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 825,2844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(825,2844) = 3

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

GCF(825,2844) x common factors =3 x 1 = 3

LCM(825,2844) = ( 825 × 2844 ) / 3

LCM(825,2844) = 2346300 / 3

LCM(825,2844) = 782100


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 412/825, 3700/2844

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 412/825, 3700/2844?

Answer: GCF of Numerators as per given numbers 412/825, 3700/2844 is

GCF of Numerators i.e. for 412,3700 is 4

LCM of denominators i.e. for 825,2844 is 782100.

Thus, GCF of Fractions is 4/782100.Finally, GCF of Fractions for 412/825, 3700/2844 is 4/782100.