GCD of 170, 744, 820, 962 Calculator

Given Input numbers are 170, 744, 820, 962

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 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 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 962 :

The positive integer divisors of 962 that completely divides 962 are.

1, 2, 13, 26, 37, 74, 481, 962

GCD of numbers is the greatest common divisor

So, the GCD (170, 744, 820, 962) = 2.

Given numbers are 170, 744, 820, 962

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

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

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 962 are 2 x 13 x 37

The highest common occurrence is 2¹

Therefore, GCD of 170, 744, 820, 962 is 2.

Given numbers are 170, 744, 820, 962

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

Apply this formula for all numbers.

Step1:

LCM(170, 744) = 63240

GCD(170, 744) = ( 170 x 744 ) / 63240

= 170 / 744

= 170

Step2:

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

= 2 / 820

= 2

Step3:

LCM(2, 962) = 962

GCD(2, 962) = ( 2 x 962 ) / 962

= 2 / 962

= 2

So, Greatest Common Divisor of 170, 744, 820, 962 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 212, 158, 696, 802
• GCD of 853, 524, 992, 447
• GCD of 820, 566, 970, 605
• GCD of 793, 548, 702, 430
• GCD of 130, 935, 750, 359

Given numbers are 170, 744, 820, 962
The greatest common divisor of numbers 170, 744, 820, 962 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 744, 820, 962 is 2.

1. What is the GCD of 170, 744, 820, 962?

GCD of given numbers 170, 744, 820, 962 is 2

2. How to calculate the greatest common divisor of 170, 744, 820, 962?

We can find the highest common divisor of 170, 744, 820, 962 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, 744, 820, 962 i.e 2.

3. How can I use the GCD of 170, 744, 820, 962Calculator?

Out the numbers 170, 744, 820, 962 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.