Greatest Common Factor of 64/828, 3818/8642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 64/828, 3818/8642

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 64/828,3818/8642

Given fractions are 64/828,3818/8642

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 64,3818

Greatest Common Factor of Numerators i.e. GCF of 64,3818 is 2 .

LCM of Denominators means LCM of 828,8642 as per the given fractions.

LCM of 828,8642 is 3577788 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 64,3818

GCF of Fractions 64/828,3818/8642 is 2/3577788

2 64, 3818
32, 1909

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

Greatest Common Factor of 64,3818 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,3818 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 3818

List of positive integer factors of 3818 that divides 3818 without a remainder.

1,2,23,46,83,166,1909,3818

Greatest Common Factor

We found the factors 64,3818 . The biggest common factor number is the GCF number.
So the greatest common factor 64,3818 is 2.

Lets's calculate LCM of 828,8642

2 828, 8642
414, 4321

∴ So the LCM of the given numbers is 2 x 414 x 4321 = 3577788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3577788

Therefore, the GCF of Fractions 64/828,3818/8642 is 2/3577788

Least Common Multiple of 828,8642 with GCF Formula

Least Common Multiple of 828,8642 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 828,8642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,8642) = 2

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

GCF(828,8642) x common factors =2 x 1 = 2

LCM(828,8642) = ( 828 × 8642 ) / 2

LCM(828,8642) = 7155576 / 2

LCM(828,8642) = 3577788


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 64/828, 3818/8642

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 64/828, 3818/8642?

Answer: GCF of Numerators as per given numbers 64/828, 3818/8642 is

GCF of Numerators i.e. for 64,3818 is 2

LCM of denominators i.e. for 828,8642 is 3577788.

Thus, GCF of Fractions is 2/3577788.Finally, GCF of Fractions for 64/828, 3818/8642 is 2/3577788.