GCD of 939, 645, 48, 900 Calculator

Given Input numbers are 939, 645, 48, 900

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

Divisors of 939 :

The positive integer divisors of 939 that completely divides 939 are.

1, 3, 313, 939

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 48 :

The positive integer divisors of 48 that completely divides 48 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (939, 645, 48, 900) = 3.

Given numbers are 939, 645, 48, 900

The list of prime factors of all numbers are

Prime factors of 939 are 3 x 313

Prime factors of 645 are 3 x 5 x 43

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 939, 645, 48, 900 is 3.

Given numbers are 939, 645, 48, 900

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

Apply this formula for all numbers.

Step1:

LCM(939, 645) = 201885

GCD(939, 645) = ( 939 x 645 ) / 201885

= 939 / 645

= 939

Step2:

LCM(3, 48) = 48

GCD(3, 48) = ( 3 x 48 ) / 48

= 3 / 48

= 3

Step3:

LCM(3, 900) = 900

GCD(3, 900) = ( 3 x 900 ) / 900

= 3 / 900

= 3

So, Greatest Common Divisor of 939, 645, 48, 900 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 788, 830, 70, 936
• GCD of 947, 164, 47, 659
• GCD of 778, 317, 40, 156
• GCD of 151, 160, 77, 520
• GCD of 631, 121, 77, 625

Given numbers are 939, 645, 48, 900
The greatest common divisor of numbers 939, 645, 48, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 939, 645, 48, 900 is 3.

1. What is the GCD of 939, 645, 48, 900?

GCD of given numbers 939, 645, 48, 900 is 3

2. How to calculate the greatest common divisor of 939, 645, 48, 900?

We can find the highest common divisor of 939, 645, 48, 900 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 939, 645, 48, 900 i.e 3.

3. How can I use the GCD of 939, 645, 48, 900Calculator?

Out the numbers 939, 645, 48, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.