GCD of 170, 450, 972, 702 Calculator

Given Input numbers are 170, 450, 972, 702

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 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

GCD of numbers is the greatest common divisor

So, the GCD (170, 450, 972, 702) = 2.

Given numbers are 170, 450, 972, 702

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 170, 450, 972, 702 is 2.

Given numbers are 170, 450, 972, 702

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

Apply this formula for all numbers.

Step1:

LCM(170, 450) = 7650

GCD(170, 450) = ( 170 x 450 ) / 7650

= 170 / 450

= 170

Step2:

LCM(10, 972) = 4860

GCD(10, 972) = ( 10 x 972 ) / 4860

= 10 / 972

= 10

Step3:

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

= 2 / 702

= 2

So, Greatest Common Divisor of 170, 450, 972, 702 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 780, 419, 644
• GCD of 281, 447, 685, 156
• GCD of 724, 775, 281, 305
• GCD of 441, 441, 671, 293
• GCD of 540, 684, 213, 710

Given numbers are 170, 450, 972, 702
The greatest common divisor of numbers 170, 450, 972, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 450, 972, 702 is 2.

1. What is the GCD of 170, 450, 972, 702?

GCD of given numbers 170, 450, 972, 702 is 2

2. How to calculate the greatest common divisor of 170, 450, 972, 702?

We can find the highest common divisor of 170, 450, 972, 702 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, 450, 972, 702 i.e 2.

3. How can I use the GCD of 170, 450, 972, 702Calculator?

Out the numbers 170, 450, 972, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.