GCD of 880, 580, 465, 214 Calculator

Given Input numbers are 880, 580, 465, 214

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

Divisors of 880 :

The positive integer divisors of 880 that completely divides 880 are.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 465 :

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

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

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (880, 580, 465, 214) = 1.

Given numbers are 880, 580, 465, 214

The list of prime factors of all numbers are

Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 465 are 3 x 5 x 31

Prime factors of 214 are 2 x 107

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

Given numbers are 880, 580, 465, 214

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

Apply this formula for all numbers.

Step1:

LCM(880, 580) = 25520

GCD(880, 580) = ( 880 x 580 ) / 25520

= 880 / 580

= 880

Step2:

LCM(20, 465) = 1860

GCD(20, 465) = ( 20 x 465 ) / 1860

= 20 / 465

= 20

Step3:

LCM(5, 214) = 1070

GCD(5, 214) = ( 5 x 214 ) / 1070

= 5 / 214

= 5

So, Greatest Common Divisor of 880, 580, 465, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 607, 361, 840, 801
• GCD of 386, 326, 613, 101
• GCD of 620, 338, 393, 339
• GCD of 968, 875, 763, 770
• GCD of 797, 935, 556, 874

Given numbers are 880, 580, 465, 214
The greatest common divisor of numbers 880, 580, 465, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 880, 580, 465, 214 is 1.

1. What is the GCD of 880, 580, 465, 214?

GCD of given numbers 880, 580, 465, 214 is 1

2. How to calculate the greatest common divisor of 880, 580, 465, 214?

We can find the highest common divisor of 880, 580, 465, 214 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 880, 580, 465, 214 i.e 1.

3. How can I use the GCD of 880, 580, 465, 214Calculator?

Out the numbers 880, 580, 465, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.