GCD of 945, 642, 408, 508 Calculator

Given Input numbers are 945, 642, 408, 508

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

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 642 :

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

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

GCD of numbers is the greatest common divisor

So, the GCD (945, 642, 408, 508) = 1.

Given numbers are 945, 642, 408, 508

The list of prime factors of all numbers are

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 642 are 2 x 3 x 107

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 508 are 2 x 2 x 127

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 945, 642, 408, 508

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

Apply this formula for all numbers.

Step1:

LCM(945, 642) = 202230

GCD(945, 642) = ( 945 x 642 ) / 202230

= 945 / 642

= 945

Step2:

LCM(3, 408) = 408

GCD(3, 408) = ( 3 x 408 ) / 408

= 3 / 408

= 3

Step3:

LCM(3, 508) = 1524

GCD(3, 508) = ( 3 x 508 ) / 1524

= 3 / 508

= 3

So, Greatest Common Divisor of 945, 642, 408, 508 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 814, 965, 714, 489
• GCD of 435, 981, 619, 708
• GCD of 518, 764, 484, 227
• GCD of 454, 390, 389, 807
• GCD of 653, 684, 965, 178

Given numbers are 945, 642, 408, 508
The greatest common divisor of numbers 945, 642, 408, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 642, 408, 508 is 1.

1. What is the GCD of 945, 642, 408, 508?

GCD of given numbers 945, 642, 408, 508 is 1

2. How to calculate the greatest common divisor of 945, 642, 408, 508?

We can find the highest common divisor of 945, 642, 408, 508 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 945, 642, 408, 508 i.e 1.

3. How can I use the GCD of 945, 642, 408, 508Calculator?

Out the numbers 945, 642, 408, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.