GCD of 705, 977, 518, 172 Calculator

Given Input numbers are 705, 977, 518, 172

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 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (705, 977, 518, 172) = 1.

Given numbers are 705, 977, 518, 172

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 977 are 977

Prime factors of 518 are 2 x 7 x 37

Prime factors of 172 are 2 x 2 x 43

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

Given numbers are 705, 977, 518, 172

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

Apply this formula for all numbers.

Step1:

LCM(705, 977) = 688785

GCD(705, 977) = ( 705 x 977 ) / 688785

= 705 / 977

= 705

Step2:

LCM(1, 518) = 518

GCD(1, 518) = ( 1 x 518 ) / 518

= 1 / 518

= 1

Step3:

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

= 1 / 172

= 1

So, Greatest Common Divisor of 705, 977, 518, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 410, 143, 154, 673
• GCD of 760, 829, 583, 522
• GCD of 800, 854, 780, 674
• GCD of 415, 704, 424, 371
• GCD of 603, 545, 369, 232

Given numbers are 705, 977, 518, 172
The greatest common divisor of numbers 705, 977, 518, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 977, 518, 172 is 1.

1. What is the GCD of 705, 977, 518, 172?

GCD of given numbers 705, 977, 518, 172 is 1

2. How to calculate the greatest common divisor of 705, 977, 518, 172?

We can find the highest common divisor of 705, 977, 518, 172 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, 977, 518, 172 i.e 1.

3. How can I use the GCD of 705, 977, 518, 172Calculator?

Out the numbers 705, 977, 518, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.