GCD of 642, 264, 528, 963 Calculator

Given Input numbers are 642, 264, 528, 963

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

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 963 :

The positive integer divisors of 963 that completely divides 963 are.

1, 3, 9, 107, 321, 963

GCD of numbers is the greatest common divisor

So, the GCD (642, 264, 528, 963) = 3.

Given numbers are 642, 264, 528, 963

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 963 are 3 x 3 x 107

The highest common occurrence is 3¹

Therefore, GCD of 642, 264, 528, 963 is 3.

Given numbers are 642, 264, 528, 963

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

Apply this formula for all numbers.

Step1:

LCM(642, 264) = 28248

GCD(642, 264) = ( 642 x 264 ) / 28248

= 642 / 264

= 642

Step2:

LCM(6, 528) = 528

GCD(6, 528) = ( 6 x 528 ) / 528

= 6 / 528

= 6

Step3:

LCM(6, 963) = 1926

GCD(6, 963) = ( 6 x 963 ) / 1926

= 6 / 963

= 6

So, Greatest Common Divisor of 642, 264, 528, 963 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 429, 384, 120, 535
• GCD of 243, 272, 193, 289
• GCD of 487, 804, 613, 192
• GCD of 754, 384, 158, 863
• GCD of 356, 592, 690, 543

Given numbers are 642, 264, 528, 963
The greatest common divisor of numbers 642, 264, 528, 963 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 264, 528, 963 is 3.

1. What is the GCD of 642, 264, 528, 963?

GCD of given numbers 642, 264, 528, 963 is 3

2. How to calculate the greatest common divisor of 642, 264, 528, 963?

We can find the highest common divisor of 642, 264, 528, 963 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 642, 264, 528, 963 i.e 3.

3. How can I use the GCD of 642, 264, 528, 963Calculator?

Out the numbers 642, 264, 528, 963 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.