GCD of 102, 510, 362, 964 Calculator

Given Input numbers are 102, 510, 362, 964

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 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

GCD of numbers is the greatest common divisor

So, the GCD (102, 510, 362, 964) = 2.

Given numbers are 102, 510, 362, 964

The list of prime factors of all numbers are

Prime factors of 102 are 2 x 3 x 17

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 362 are 2 x 181

Prime factors of 964 are 2 x 2 x 241

The highest common occurrence is 2¹

Therefore, GCD of 102, 510, 362, 964 is 2.

Given numbers are 102, 510, 362, 964

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

Apply this formula for all numbers.

Step1:

LCM(102, 510) = 510

GCD(102, 510) = ( 102 x 510 ) / 510

= 102 / 510

= 102

Step2:

LCM(102, 362) = 18462

GCD(102, 362) = ( 102 x 362 ) / 18462

= 102 / 362

= 102

Step3:

LCM(2, 964) = 964

GCD(2, 964) = ( 2 x 964 ) / 964

= 2 / 964

= 2

So, Greatest Common Divisor of 102, 510, 362, 964 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 618, 926, 834, 570
• GCD of 736, 709, 460, 271
• GCD of 209, 420, 761, 461
• GCD of 991, 340, 462, 430
• GCD of 463, 831, 955, 342

Given numbers are 102, 510, 362, 964
The greatest common divisor of numbers 102, 510, 362, 964 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 102, 510, 362, 964 is 2.

1. What is the GCD of 102, 510, 362, 964?

GCD of given numbers 102, 510, 362, 964 is 2

2. How to calculate the greatest common divisor of 102, 510, 362, 964?

We can find the highest common divisor of 102, 510, 362, 964 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, 510, 362, 964 i.e 2.

3. How can I use the GCD of 102, 510, 362, 964Calculator?

Out the numbers 102, 510, 362, 964 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.