GCD of 465, 125, 560, 428 Calculator

Given Input numbers are 465, 125, 560, 428

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

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 125 :

The positive integer divisors of 125 that completely divides 125 are.

1, 5, 25, 125

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (465, 125, 560, 428) = 1.

Given numbers are 465, 125, 560, 428

The list of prime factors of all numbers are

Prime factors of 465 are 3 x 5 x 31

Prime factors of 125 are 5 x 5 x 5

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 428 are 2 x 2 x 107

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

Given numbers are 465, 125, 560, 428

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

Apply this formula for all numbers.

Step1:

LCM(465, 125) = 11625

GCD(465, 125) = ( 465 x 125 ) / 11625

= 465 / 125

= 465

Step2:

LCM(5, 560) = 560

GCD(5, 560) = ( 5 x 560 ) / 560

= 5 / 560

= 5

Step3:

LCM(5, 428) = 2140

GCD(5, 428) = ( 5 x 428 ) / 2140

= 5 / 428

= 5

So, Greatest Common Divisor of 465, 125, 560, 428 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 359, 767, 730, 825
• GCD of 861, 695, 964, 414
• GCD of 978, 343, 754, 979
• GCD of 205, 494, 853, 303
• GCD of 838, 959, 846, 262

Given numbers are 465, 125, 560, 428
The greatest common divisor of numbers 465, 125, 560, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 125, 560, 428 is 1.

1. What is the GCD of 465, 125, 560, 428?

GCD of given numbers 465, 125, 560, 428 is 1

2. How to calculate the greatest common divisor of 465, 125, 560, 428?

We can find the highest common divisor of 465, 125, 560, 428 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 465, 125, 560, 428 i.e 1.

3. How can I use the GCD of 465, 125, 560, 428Calculator?

Out the numbers 465, 125, 560, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.