GCD of 705, 172, 742, 990 Calculator

Given Input numbers are 705, 172, 742, 990

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 172 :

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

1, 2, 4, 43, 86, 172

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

GCD of numbers is the greatest common divisor

So, the GCD (705, 172, 742, 990) = 1.

Given numbers are 705, 172, 742, 990

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 172 are 2 x 2 x 43

Prime factors of 742 are 2 x 7 x 53

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

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

Given numbers are 705, 172, 742, 990

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

Apply this formula for all numbers.

Step1:

LCM(705, 172) = 121260

GCD(705, 172) = ( 705 x 172 ) / 121260

= 705 / 172

= 705

Step2:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

Step3:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1

So, Greatest Common Divisor of 705, 172, 742, 990 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 621, 270, 237, 734
• GCD of 827, 741, 756, 173
• GCD of 735, 541, 532, 356
• GCD of 511, 708, 533, 267
• GCD of 852, 799, 232, 818

Given numbers are 705, 172, 742, 990
The greatest common divisor of numbers 705, 172, 742, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 172, 742, 990 is 1.

1. What is the GCD of 705, 172, 742, 990?

GCD of given numbers 705, 172, 742, 990 is 1

2. How to calculate the greatest common divisor of 705, 172, 742, 990?

We can find the highest common divisor of 705, 172, 742, 990 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, 172, 742, 990 i.e 1.

3. How can I use the GCD of 705, 172, 742, 990Calculator?

Out the numbers 705, 172, 742, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.