GCD of 735, 150, 618, 639 Calculator

Given Input numbers are 735, 150, 618, 639

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

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 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 618 :

The positive integer divisors of 618 that completely divides 618 are.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 639 :

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

1, 3, 9, 71, 213, 639

GCD of numbers is the greatest common divisor

So, the GCD (735, 150, 618, 639) = 3.

Given numbers are 735, 150, 618, 639

The list of prime factors of all numbers are

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

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 618 are 2 x 3 x 103

Prime factors of 639 are 3 x 3 x 71

The highest common occurrence is 3¹

Therefore, GCD of 735, 150, 618, 639 is 3.

Given numbers are 735, 150, 618, 639

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

Apply this formula for all numbers.

Step1:

LCM(735, 150) = 7350

GCD(735, 150) = ( 735 x 150 ) / 7350

= 735 / 150

= 735

Step2:

LCM(15, 618) = 3090

GCD(15, 618) = ( 15 x 618 ) / 3090

= 15 / 618

= 15

Step3:

LCM(3, 639) = 639

GCD(3, 639) = ( 3 x 639 ) / 639

= 3 / 639

= 3

So, Greatest Common Divisor of 735, 150, 618, 639 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 635, 274, 963, 825
• GCD of 477, 390, 318, 339
• GCD of 607, 488, 158, 973
• GCD of 922, 143, 194, 856
• GCD of 755, 907, 597, 621

Given numbers are 735, 150, 618, 639
The greatest common divisor of numbers 735, 150, 618, 639 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 150, 618, 639 is 3.

1. What is the GCD of 735, 150, 618, 639?

GCD of given numbers 735, 150, 618, 639 is 3

2. How to calculate the greatest common divisor of 735, 150, 618, 639?

We can find the highest common divisor of 735, 150, 618, 639 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 735, 150, 618, 639 i.e 3.

3. How can I use the GCD of 735, 150, 618, 639Calculator?

Out the numbers 735, 150, 618, 639 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.