Greatest Common Factor of 3964/813, 1636/8250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3964/813, 1636/8250

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 3964/813,1636/8250

Given fractions are 3964/813,1636/8250

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 3964,1636

Greatest Common Factor of Numerators i.e. GCF of 3964,1636 is 4 .

LCM of Denominators means LCM of 813,8250 as per the given fractions.

LCM of 813,8250 is 2235750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3964,1636

GCF of Fractions 3964/813,1636/8250 is 4/2235750

2 3964, 1636
2 1982, 818
991, 409

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

Greatest Common Factor of 3964,1636 By Matching Biggest Common Factor Method

Greatest Common Factor of 3964,1636 By Matching Biggest Common Factor Method

Factors of 3964

List of positive integer factors of 3964 that divides 3964 without a remainder.

1,2,4,991,1982,3964

Factors of 1636

List of positive integer factors of 1636 that divides 1636 without a remainder.

1,2,4,409,818,1636

Greatest Common Factor

We found the factors 3964,1636 . The biggest common factor number is the GCF number.
So the greatest common factor 3964,1636 is 4.

Lets's calculate LCM of 813,8250

3 813, 8250
271, 2750

∴ So the LCM of the given numbers is 3 x 271 x 2750 = 2235750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2235750

Therefore, the GCF of Fractions 3964/813,1636/8250 is 4/2235750

Least Common Multiple of 813,8250 with GCF Formula

Least Common Multiple of 813,8250 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 813,8250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(813,8250) = 3

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

GCF(813,8250) x common factors =3 x 1 = 3

LCM(813,8250) = ( 813 × 8250 ) / 3

LCM(813,8250) = 6707250 / 3

LCM(813,8250) = 2235750


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 3964/813, 1636/8250

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 3964/813, 1636/8250?

Answer: GCF of Numerators as per given numbers 3964/813, 1636/8250 is

GCF of Numerators i.e. for 3964,1636 is 4

LCM of denominators i.e. for 813,8250 is 2235750.

Thus, GCF of Fractions is 4/2235750.Finally, GCF of Fractions for 3964/813, 1636/8250 is 4/2235750.