GCD of 170, 294, 744, 987 Calculator

Given Input numbers are 170, 294, 744, 987

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

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

GCD of numbers is the greatest common divisor

So, the GCD (170, 294, 744, 987) = 1.

Given numbers are 170, 294, 744, 987

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 987 are 3 x 7 x 47

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

Given numbers are 170, 294, 744, 987

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

Apply this formula for all numbers.

Step1:

LCM(170, 294) = 24990

GCD(170, 294) = ( 170 x 294 ) / 24990

= 170 / 294

= 170

Step2:

LCM(2, 744) = 744

GCD(2, 744) = ( 2 x 744 ) / 744

= 2 / 744

= 2

Step3:

LCM(2, 987) = 1974

GCD(2, 987) = ( 2 x 987 ) / 1974

= 2 / 987

= 2

So, Greatest Common Divisor of 170, 294, 744, 987 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 788, 893, 603, 991
• GCD of 895, 410, 240, 392
• GCD of 315, 905, 396, 528
• GCD of 659, 201, 499, 783
• GCD of 101, 119, 746, 260

Given numbers are 170, 294, 744, 987
The greatest common divisor of numbers 170, 294, 744, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 294, 744, 987 is 1.

1. What is the GCD of 170, 294, 744, 987?

GCD of given numbers 170, 294, 744, 987 is 1

2. How to calculate the greatest common divisor of 170, 294, 744, 987?

We can find the highest common divisor of 170, 294, 744, 987 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 170, 294, 744, 987 i.e 1.

3. How can I use the GCD of 170, 294, 744, 987Calculator?

Out the numbers 170, 294, 744, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.