GCD of 420, 975, 418, 732 Calculator

Given Input numbers are 420, 975, 418, 732

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 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

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

GCD of numbers is the greatest common divisor

So, the GCD (420, 975, 418, 732) = 1.

Given numbers are 420, 975, 418, 732

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 975 are 3 x 5 x 5 x 13

Prime factors of 418 are 2 x 11 x 19

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 420, 975, 418, 732

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

Apply this formula for all numbers.

Step1:

LCM(420, 975) = 27300

GCD(420, 975) = ( 420 x 975 ) / 27300

= 420 / 975

= 420

Step2:

LCM(15, 418) = 6270

GCD(15, 418) = ( 15 x 418 ) / 6270

= 15 / 418

= 15

Step3:

LCM(1, 732) = 732

GCD(1, 732) = ( 1 x 732 ) / 732

= 1 / 732

= 1

So, Greatest Common Divisor of 420, 975, 418, 732 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 408, 889, 632, 457
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• GCD of 792, 796, 703, 774

Given numbers are 420, 975, 418, 732
The greatest common divisor of numbers 420, 975, 418, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 975, 418, 732 is 1.

1. What is the GCD of 420, 975, 418, 732?

GCD of given numbers 420, 975, 418, 732 is 1

2. How to calculate the greatest common divisor of 420, 975, 418, 732?

We can find the highest common divisor of 420, 975, 418, 732 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, 975, 418, 732 i.e 1.

3. How can I use the GCD of 420, 975, 418, 732Calculator?

Out the numbers 420, 975, 418, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.