GCD of 680, 414, 145, 564 Calculator

Given Input numbers are 680, 414, 145, 564

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

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (680, 414, 145, 564) = 1.

Given numbers are 680, 414, 145, 564

The list of prime factors of all numbers are

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 145 are 5 x 29

Prime factors of 564 are 2 x 2 x 3 x 47

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

Given numbers are 680, 414, 145, 564

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

Apply this formula for all numbers.

Step1:

LCM(680, 414) = 140760

GCD(680, 414) = ( 680 x 414 ) / 140760

= 680 / 414

= 680

Step2:

LCM(2, 145) = 290

GCD(2, 145) = ( 2 x 145 ) / 290

= 2 / 145

= 2

Step3:

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

= 1 / 564

= 1

So, Greatest Common Divisor of 680, 414, 145, 564 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 218, 763, 563, 663
• GCD of 217, 343, 487, 120
• GCD of 580, 315, 947, 487
• GCD of 702, 769, 464, 192
• GCD of 283, 824, 601, 539

Given numbers are 680, 414, 145, 564
The greatest common divisor of numbers 680, 414, 145, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 414, 145, 564 is 1.

1. What is the GCD of 680, 414, 145, 564?

GCD of given numbers 680, 414, 145, 564 is 1

2. How to calculate the greatest common divisor of 680, 414, 145, 564?

We can find the highest common divisor of 680, 414, 145, 564 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 680, 414, 145, 564 i.e 1.

3. How can I use the GCD of 680, 414, 145, 564Calculator?

Out the numbers 680, 414, 145, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.