GCD of 318, 639, 735, 105 Calculator

Given Input numbers are 318, 639, 735, 105

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

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 639 :

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

1, 3, 9, 71, 213, 639

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 105 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (318, 639, 735, 105) = 3.

Given numbers are 318, 639, 735, 105

The list of prime factors of all numbers are

Prime factors of 318 are 2 x 3 x 53

Prime factors of 639 are 3 x 3 x 71

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 105 are 3 x 5 x 7

The highest common occurrence is 3¹

Therefore, GCD of 318, 639, 735, 105 is 3.

Given numbers are 318, 639, 735, 105

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

Apply this formula for all numbers.

Step1:

LCM(318, 639) = 67734

GCD(318, 639) = ( 318 x 639 ) / 67734

= 318 / 639

= 318

Step2:

LCM(3, 735) = 735

GCD(3, 735) = ( 3 x 735 ) / 735

= 3 / 735

= 3

Step3:

LCM(3, 105) = 105

GCD(3, 105) = ( 3 x 105 ) / 105

= 3 / 105

= 3

So, Greatest Common Divisor of 318, 639, 735, 105 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 149, 433, 450, 599
• GCD of 911, 903, 681, 849
• GCD of 880, 399, 196, 846
• GCD of 981, 499, 666, 844
• GCD of 367, 840, 470, 359

Given numbers are 318, 639, 735, 105
The greatest common divisor of numbers 318, 639, 735, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 639, 735, 105 is 3.

1. What is the GCD of 318, 639, 735, 105?

GCD of given numbers 318, 639, 735, 105 is 3

2. How to calculate the greatest common divisor of 318, 639, 735, 105?

We can find the highest common divisor of 318, 639, 735, 105 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 318, 639, 735, 105 i.e 3.

3. How can I use the GCD of 318, 639, 735, 105Calculator?

Out the numbers 318, 639, 735, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.