Greatest Common Factor of 828/51, 668/16, 332/266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 828/51, 668/16, 332/266

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 828/51,668/16,332/266

Given fractions are 828/51,668/16,332/266

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 828,668,332

Greatest Common Factor of Numerators i.e. GCF of 828,668,332 is 4 .

LCM of Denominators means LCM of 51,16,266 as per the given fractions.

LCM of 51,16,266 is 108528 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 828,668,332

GCF of Fractions 828/51,668/16,332/266 is 4/108528

2 828, 668, 332
2 414, 334, 166
207, 167, 83

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

Greatest Common Factor of 828,668,332 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,668,332 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Greatest Common Factor

We found the factors 828,668,332 . The biggest common factor number is the GCF number.
So the greatest common factor 828,668,332 is 4.

Lets's calculate LCM of 51,16,266

2 51, 16, 266
51, 8, 133

∴ So the LCM of the given numbers is 2 x 51 x 8 x 133 = 108528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/108528

Therefore, the GCF of Fractions 828/51,668/16,332/266 is 4/108528

Least Common Multiple of 51,16,266 with GCF Formula

Least Common Multiple of 51,16,266 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 51,16,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,16,266) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(51,16,266) x common factors =1 x 2 = 2

LCM(51,16,266) = ( 51 × 16 × 266 ) / 2

LCM(51,16,266) = 217056 / 2

LCM(51,16,266) = 108528


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 828/51, 668/16, 332/266

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 828/51, 668/16, 332/266?

Answer: GCF of Numerators as per given numbers 828/51, 668/16, 332/266 is

GCF of Numerators i.e. for 828,668,332 is 4

LCM of denominators i.e. for 51,16,266 is 108528.

Thus, GCF of Fractions is 4/108528.Finally, GCF of Fractions for 828/51, 668/16, 332/266 is 4/108528.