GCD of 705, 627, 142, 516 Calculator

Given Input numbers are 705, 627, 142, 516

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 627 :

The positive integer divisors of 627 that completely divides 627 are.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

GCD of numbers is the greatest common divisor

So, the GCD (705, 627, 142, 516) = 1.

Given numbers are 705, 627, 142, 516

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 627 are 3 x 11 x 19

Prime factors of 142 are 2 x 71

Prime factors of 516 are 2 x 2 x 3 x 43

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

Given numbers are 705, 627, 142, 516

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

Apply this formula for all numbers.

Step1:

LCM(705, 627) = 147345

GCD(705, 627) = ( 705 x 627 ) / 147345

= 705 / 627

= 705

Step2:

LCM(3, 142) = 426

GCD(3, 142) = ( 3 x 142 ) / 426

= 3 / 142

= 3

Step3:

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

= 1 / 516

= 1

So, Greatest Common Divisor of 705, 627, 142, 516 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 383, 795, 411, 454
• GCD of 495, 594, 763, 347
• GCD of 707, 597, 649, 137
• GCD of 445, 811, 809, 755
• GCD of 197, 607, 774, 171

Given numbers are 705, 627, 142, 516
The greatest common divisor of numbers 705, 627, 142, 516 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 627, 142, 516 is 1.

1. What is the GCD of 705, 627, 142, 516?

GCD of given numbers 705, 627, 142, 516 is 1

2. How to calculate the greatest common divisor of 705, 627, 142, 516?

We can find the highest common divisor of 705, 627, 142, 516 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 705, 627, 142, 516 i.e 1.

3. How can I use the GCD of 705, 627, 142, 516Calculator?

Out the numbers 705, 627, 142, 516 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.