GCD of 440, 550, 780, 900 Calculator

Given Input numbers are 440, 550, 780, 900

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

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

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 (440, 550, 780, 900) = 10.

Given numbers are 440, 550, 780, 900

The list of prime factors of all numbers are

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

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

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 440, 550, 780, 900 is 10.

Given numbers are 440, 550, 780, 900

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

Apply this formula for all numbers.

Step1:

LCM(440, 550) = 2200

GCD(440, 550) = ( 440 x 550 ) / 2200

= 440 / 550

= 440

Step2:

LCM(110, 780) = 8580

GCD(110, 780) = ( 110 x 780 ) / 8580

= 110 / 780

= 110

Step3:

LCM(10, 900) = 900

GCD(10, 900) = ( 10 x 900 ) / 900

= 10 / 900

= 10

So, Greatest Common Divisor of 440, 550, 780, 900 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 403, 168, 828, 561
• GCD of 300, 111, 627, 368
• GCD of 220, 515, 845, 227
• GCD of 325, 696, 898, 662
• GCD of 974, 706, 956, 989

Given numbers are 440, 550, 780, 900
The greatest common divisor of numbers 440, 550, 780, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 440, 550, 780, 900 is 10.

1. What is the GCD of 440, 550, 780, 900?

GCD of given numbers 440, 550, 780, 900 is 10

2. How to calculate the greatest common divisor of 440, 550, 780, 900?

We can find the highest common divisor of 440, 550, 780, 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 440, 550, 780, 900 i.e 10.

3. How can I use the GCD of 440, 550, 780, 900Calculator?

Out the numbers 440, 550, 780, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.