GCD of 105, 135, 487, 624 Calculator

Given Input numbers are 105, 135, 487, 624

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 487 :

The positive integer divisors of 487 that completely divides 487 are.

1, 487

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

GCD of numbers is the greatest common divisor

So, the GCD (105, 135, 487, 624) = 1.

Given numbers are 105, 135, 487, 624

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 487 are 487

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

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

Given numbers are 105, 135, 487, 624

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

Apply this formula for all numbers.

Step1:

LCM(105, 135) = 945

GCD(105, 135) = ( 105 x 135 ) / 945

= 105 / 135

= 105

Step2:

LCM(15, 487) = 7305

GCD(15, 487) = ( 15 x 487 ) / 7305

= 15 / 487

= 15

Step3:

LCM(1, 624) = 624

GCD(1, 624) = ( 1 x 624 ) / 624

= 1 / 624

= 1

So, Greatest Common Divisor of 105, 135, 487, 624 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 616, 899, 284, 863
• GCD of 119, 536, 100, 124
• GCD of 850, 204, 649, 887
• GCD of 468, 378, 870, 736
• GCD of 290, 467, 829, 304

Given numbers are 105, 135, 487, 624
The greatest common divisor of numbers 105, 135, 487, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 135, 487, 624 is 1.

1. What is the GCD of 105, 135, 487, 624?

GCD of given numbers 105, 135, 487, 624 is 1

2. How to calculate the greatest common divisor of 105, 135, 487, 624?

We can find the highest common divisor of 105, 135, 487, 624 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 105, 135, 487, 624 i.e 1.

3. How can I use the GCD of 105, 135, 487, 624Calculator?

Out the numbers 105, 135, 487, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.