GCD of 800, 545, 220, 875 Calculator

Given Input numbers are 800, 545, 220, 875

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 545 :

The positive integer divisors of 545 that completely divides 545 are.

1, 5, 109, 545

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 875 :

The positive integer divisors of 875 that completely divides 875 are.

1, 5, 7, 25, 35, 125, 175, 875

GCD of numbers is the greatest common divisor

So, the GCD (800, 545, 220, 875) = 5.

Given numbers are 800, 545, 220, 875

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 545 are 5 x 109

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 875 are 5 x 5 x 5 x 7

The highest common occurrence is 5¹

Therefore, GCD of 800, 545, 220, 875 is 5.

Given numbers are 800, 545, 220, 875

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

Apply this formula for all numbers.

Step1:

LCM(800, 545) = 87200

GCD(800, 545) = ( 800 x 545 ) / 87200

= 800 / 545

= 800

Step2:

LCM(5, 220) = 220

GCD(5, 220) = ( 5 x 220 ) / 220

= 5 / 220

= 5

Step3:

LCM(5, 875) = 875

GCD(5, 875) = ( 5 x 875 ) / 875

= 5 / 875

= 5

So, Greatest Common Divisor of 800, 545, 220, 875 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 863, 882, 448, 605
• GCD of 925, 406, 159, 183
• GCD of 949, 930, 470, 671
• GCD of 275, 142, 356, 760
• GCD of 346, 558, 653, 911

Given numbers are 800, 545, 220, 875
The greatest common divisor of numbers 800, 545, 220, 875 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 545, 220, 875 is 5.

1. What is the GCD of 800, 545, 220, 875?

GCD of given numbers 800, 545, 220, 875 is 5

2. How to calculate the greatest common divisor of 800, 545, 220, 875?

We can find the highest common divisor of 800, 545, 220, 875 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 800, 545, 220, 875 i.e 5.

3. How can I use the GCD of 800, 545, 220, 875Calculator?

Out the numbers 800, 545, 220, 875 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.