GCD of 460, 759, 625, 216 Calculator

Given Input numbers are 460, 759, 625, 216

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

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 625 :

The positive integer divisors of 625 that completely divides 625 are.

1, 5, 25, 125, 625

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

GCD of numbers is the greatest common divisor

So, the GCD (460, 759, 625, 216) = 1.

Given numbers are 460, 759, 625, 216

The list of prime factors of all numbers are

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 759 are 3 x 11 x 23

Prime factors of 625 are 5 x 5 x 5 x 5

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

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

Given numbers are 460, 759, 625, 216

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

Apply this formula for all numbers.

Step1:

LCM(460, 759) = 15180

GCD(460, 759) = ( 460 x 759 ) / 15180

= 460 / 759

= 460

Step2:

LCM(23, 625) = 14375

GCD(23, 625) = ( 23 x 625 ) / 14375

= 23 / 625

= 23

Step3:

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

= 1 / 216

= 1

So, Greatest Common Divisor of 460, 759, 625, 216 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 489, 592, 532, 692
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• GCD of 420, 558, 604, 668
• GCD of 754, 341, 661, 619
• GCD of 339, 746, 390, 440

Given numbers are 460, 759, 625, 216
The greatest common divisor of numbers 460, 759, 625, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 759, 625, 216 is 1.

1. What is the GCD of 460, 759, 625, 216?

GCD of given numbers 460, 759, 625, 216 is 1

2. How to calculate the greatest common divisor of 460, 759, 625, 216?

We can find the highest common divisor of 460, 759, 625, 216 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 460, 759, 625, 216 i.e 1.

3. How can I use the GCD of 460, 759, 625, 216Calculator?

Out the numbers 460, 759, 625, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.