GCD of 420, 900, 732, 680 Calculator

Given Input numbers are 420, 900, 732, 680

In the factoring method, we have to find the divisors of all numbers

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

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

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

GCD of numbers is the greatest common divisor

So, the GCD (420, 900, 732, 680) = 4.

Given numbers are 420, 900, 732, 680

The list of prime factors of all numbers are

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

The highest common occurrence is 2²

Therefore, GCD of 420, 900, 732, 680 is 4.

Given numbers are 420, 900, 732, 680

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(420, 900) = 6300

GCD(420, 900) = ( 420 x 900 ) / 6300

= 420 / 900

= 420

Step2:

LCM(60, 732) = 3660

GCD(60, 732) = ( 60 x 732 ) / 3660

= 60 / 732

= 60

Step3:

LCM(12, 680) = 2040

GCD(12, 680) = ( 12 x 680 ) / 2040

= 12 / 680

= 12

So, Greatest Common Divisor of 420, 900, 732, 680 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 862, 112, 597, 633
• GCD of 803, 713, 348, 957
• GCD of 255, 485, 899, 336
• GCD of 594, 444, 590, 241
• GCD of 710, 683, 676, 748

Given numbers are 420, 900, 732, 680
The greatest common divisor of numbers 420, 900, 732, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 900, 732, 680 is 4.

1. What is the GCD of 420, 900, 732, 680?

GCD of given numbers 420, 900, 732, 680 is 4

2. How to calculate the greatest common divisor of 420, 900, 732, 680?

We can find the highest common divisor of 420, 900, 732, 680 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 420, 900, 732, 680 i.e 4.

3. How can I use the GCD of 420, 900, 732, 680Calculator?

Out the numbers 420, 900, 732, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.