GCD of 476, 472, 548, 900 Calculator

Given Input numbers are 476, 472, 548, 900

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

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

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 (476, 472, 548, 900) = 4.

Given numbers are 476, 472, 548, 900

The list of prime factors of all numbers are

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 548 are 2 x 2 x 137

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

The highest common occurrence is 2²

Therefore, GCD of 476, 472, 548, 900 is 4.

Given numbers are 476, 472, 548, 900

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

Apply this formula for all numbers.

Step1:

LCM(476, 472) = 56168

GCD(476, 472) = ( 476 x 472 ) / 56168

= 476 / 472

= 476

Step2:

LCM(4, 548) = 548

GCD(4, 548) = ( 4 x 548 ) / 548

= 4 / 548

= 4

Step3:

LCM(4, 900) = 900

GCD(4, 900) = ( 4 x 900 ) / 900

= 4 / 900

= 4

So, Greatest Common Divisor of 476, 472, 548, 900 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 704, 313, 980, 929
• GCD of 369, 661, 750, 488
• GCD of 434, 166, 911, 723
• GCD of 140, 782, 679, 589
• GCD of 174, 121, 539, 119

Given numbers are 476, 472, 548, 900
The greatest common divisor of numbers 476, 472, 548, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 476, 472, 548, 900 is 4.

1. What is the GCD of 476, 472, 548, 900?

GCD of given numbers 476, 472, 548, 900 is 4

2. How to calculate the greatest common divisor of 476, 472, 548, 900?

We can find the highest common divisor of 476, 472, 548, 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 476, 472, 548, 900 i.e 4.

3. How can I use the GCD of 476, 472, 548, 900Calculator?

Out the numbers 476, 472, 548, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.