GCD of 428, 992, 565, 900 Calculator

Given Input numbers are 428, 992, 565, 900

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 565 :

The positive integer divisors of 565 that completely divides 565 are.

1, 5, 113, 565

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 (428, 992, 565, 900) = 1.

Given numbers are 428, 992, 565, 900

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 565 are 5 x 113

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

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

Given numbers are 428, 992, 565, 900

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

Apply this formula for all numbers.

Step1:

LCM(428, 992) = 106144

GCD(428, 992) = ( 428 x 992 ) / 106144

= 428 / 992

= 428

Step2:

LCM(4, 565) = 2260

GCD(4, 565) = ( 4 x 565 ) / 2260

= 4 / 565

= 4

Step3:

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

= 1 / 900

= 1

So, Greatest Common Divisor of 428, 992, 565, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 942, 879, 245, 518
• GCD of 657, 533, 829, 532
• GCD of 785, 354, 171, 670
• GCD of 681, 929, 451, 976
• GCD of 506, 144, 634, 645

Given numbers are 428, 992, 565, 900
The greatest common divisor of numbers 428, 992, 565, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 992, 565, 900 is 1.

1. What is the GCD of 428, 992, 565, 900?

GCD of given numbers 428, 992, 565, 900 is 1

2. How to calculate the greatest common divisor of 428, 992, 565, 900?

We can find the highest common divisor of 428, 992, 565, 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 428, 992, 565, 900 i.e 1.

3. How can I use the GCD of 428, 992, 565, 900Calculator?

Out the numbers 428, 992, 565, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.