GCD of 900, 477, 676, 454 Calculator

Given Input numbers are 900, 477, 676, 454

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

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

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 454 :

The positive integer divisors of 454 that completely divides 454 are.

1, 2, 227, 454

GCD of numbers is the greatest common divisor

So, the GCD (900, 477, 676, 454) = 1.

Given numbers are 900, 477, 676, 454

The list of prime factors of all numbers are

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

Prime factors of 477 are 3 x 3 x 53

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 454 are 2 x 227

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 900, 477, 676, 454

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

Apply this formula for all numbers.

Step1:

LCM(900, 477) = 47700

GCD(900, 477) = ( 900 x 477 ) / 47700

= 900 / 477

= 900

Step2:

LCM(9, 676) = 6084

GCD(9, 676) = ( 9 x 676 ) / 6084

= 9 / 676

= 9

Step3:

LCM(1, 454) = 454

GCD(1, 454) = ( 1 x 454 ) / 454

= 1 / 454

= 1

So, Greatest Common Divisor of 900, 477, 676, 454 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 669, 693, 347, 671
• GCD of 742, 294, 888, 602
• GCD of 763, 588, 812, 478
• GCD of 467, 614, 876, 190
• GCD of 751, 863, 305, 142

Given numbers are 900, 477, 676, 454
The greatest common divisor of numbers 900, 477, 676, 454 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 477, 676, 454 is 1.

1. What is the GCD of 900, 477, 676, 454?

GCD of given numbers 900, 477, 676, 454 is 1

2. How to calculate the greatest common divisor of 900, 477, 676, 454?

We can find the highest common divisor of 900, 477, 676, 454 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 900, 477, 676, 454 i.e 1.

3. How can I use the GCD of 900, 477, 676, 454Calculator?

Out the numbers 900, 477, 676, 454 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.