GCD of 660, 376, 430, 420 Calculator

Given Input numbers are 660, 376, 430, 420

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 660, 376, 430, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 376, 430, 420 is 2.

Therefore, GCD of numbers 660, 376, 430, 420 is 2

Given Input Data is 660, 376, 430, 420

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 430 is 2 x 5 x 43

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(660, 376) = 62040

GCD(660, 376) = ( 660 x 376 ) / 62040

GCD(660, 376) = 248160 / 62040

GCD(660, 376) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 430

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 430) = 860

GCD(4, 430) = ( 4 x 430 ) / 860

GCD(4, 430) = 1720 / 860

GCD(4, 430) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 420

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

GCD(2, 420) = 840 / 420

GCD(2, 420) = 2

GCD of 660, 376, 430, 420 is 2

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1. What is the GCD of 660, 376, 430, 420?

GCD of 660, 376, 430, 420 is 2

2. Where do I get the detailed procedure to find GCD of 660, 376, 430, 420?

You can find a detailed procedure to find GCD of 660, 376, 430, 420 on our page.

3. How to find GCD of 660, 376, 430, 420 on a calculator?

You can find the GCD of 660, 376, 430, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.