GCD of 105, 639, 588 Calculator

Given Input numbers are 105, 639, 588

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 639 :

The positive integer divisors of 639 that completely divides 639 are.

1, 3, 9, 71, 213, 639

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

GCD of numbers is the greatest common divisor

So, the GCD (105, 639, 588) = 3.

Given numbers are 105, 639, 588

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 639 are 3 x 3 x 71

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 105, 639, 588 is 3.

Given numbers are 105, 639, 588

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

Apply this formula for all numbers.

Step1:

LCM(105, 639) = 22365

GCD(105, 639) = ( 105 x 639 ) / 22365

= 105 / 639

= 105

Step2:

LCM(3, 588) = 588

GCD(3, 588) = ( 3 x 588 ) / 588

= 3 / 588

= 3

So, Greatest Common Divisor of 105, 639, 588 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 837, 327, 931
• GCD of 213, 480, 542
• GCD of 778, 859, 713
• GCD of 948, 716, 125
• GCD of 783, 495, 442

Given numbers are 105, 639, 588
The greatest common divisor of numbers 105, 639, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 639, 588 is 3.

1. What is the GCD of 105, 639, 588?

GCD of given numbers 105, 639, 588 is 3

2. How to calculate the greatest common divisor of 105, 639, 588?

We can find the highest common divisor of 105, 639, 588 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, 639, 588 i.e 3.

3. How can I use the GCD of 105, 639, 588Calculator?

Out the numbers 105, 639, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.