GCD of 420, 360, 712, 657 Calculator

Given Input numbers are 420, 360, 712, 657

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 657 :

The positive integer divisors of 657 that completely divides 657 are.

1, 3, 9, 73, 219, 657

GCD of numbers is the greatest common divisor

So, the GCD (420, 360, 712, 657) = 1.

Given numbers are 420, 360, 712, 657

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 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 657 are 3 x 3 x 73

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

Given numbers are 420, 360, 712, 657

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

Apply this formula for all numbers.

Step1:

LCM(420, 360) = 2520

GCD(420, 360) = ( 420 x 360 ) / 2520

= 420 / 360

= 420

Step2:

LCM(60, 712) = 10680

GCD(60, 712) = ( 60 x 712 ) / 10680

= 60 / 712

= 60

Step3:

LCM(4, 657) = 2628

GCD(4, 657) = ( 4 x 657 ) / 2628

= 4 / 657

= 4

So, Greatest Common Divisor of 420, 360, 712, 657 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 984, 645, 986, 609
• GCD of 446, 102, 810, 276
• GCD of 247, 560, 697, 411
• GCD of 830, 222, 119, 452
• GCD of 379, 549, 741, 178

Given numbers are 420, 360, 712, 657
The greatest common divisor of numbers 420, 360, 712, 657 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 360, 712, 657 is 1.

1. What is the GCD of 420, 360, 712, 657?

GCD of given numbers 420, 360, 712, 657 is 1

2. How to calculate the greatest common divisor of 420, 360, 712, 657?

We can find the highest common divisor of 420, 360, 712, 657 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, 360, 712, 657 i.e 1.

3. How can I use the GCD of 420, 360, 712, 657Calculator?

Out the numbers 420, 360, 712, 657 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.