GCD of 102, 660, 170, 692 Calculator

Given Input numbers are 102, 660, 170, 692

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

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 170 :

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

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

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

GCD of numbers is the greatest common divisor

So, the GCD (102, 660, 170, 692) = 2.

Given numbers are 102, 660, 170, 692

The list of prime factors of all numbers are

Prime factors of 102 are 2 x 3 x 17

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 170 are 2 x 5 x 17

Prime factors of 692 are 2 x 2 x 173

The highest common occurrence is 2¹

Therefore, GCD of 102, 660, 170, 692 is 2.

Given numbers are 102, 660, 170, 692

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

Apply this formula for all numbers.

Step1:

LCM(102, 660) = 11220

GCD(102, 660) = ( 102 x 660 ) / 11220

= 102 / 660

= 102

Step2:

LCM(6, 170) = 510

GCD(6, 170) = ( 6 x 170 ) / 510

= 6 / 170

= 6

Step3:

LCM(2, 692) = 692

GCD(2, 692) = ( 2 x 692 ) / 692

= 2 / 692

= 2

So, Greatest Common Divisor of 102, 660, 170, 692 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 391, 508, 370, 182
• GCD of 429, 156, 737, 865
• GCD of 128, 537, 110, 467
• GCD of 901, 679, 608, 543
• GCD of 448, 187, 523, 759

Given numbers are 102, 660, 170, 692
The greatest common divisor of numbers 102, 660, 170, 692 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 102, 660, 170, 692 is 2.

1. What is the GCD of 102, 660, 170, 692?

GCD of given numbers 102, 660, 170, 692 is 2

2. How to calculate the greatest common divisor of 102, 660, 170, 692?

We can find the highest common divisor of 102, 660, 170, 692 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 102, 660, 170, 692 i.e 2.

3. How can I use the GCD of 102, 660, 170, 692Calculator?

Out the numbers 102, 660, 170, 692 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.