GCD of 855, 980, 470, 565 Calculator

Given Input numbers are 855, 980, 470, 565

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

Divisors of 855 :

The positive integer divisors of 855 that completely divides 855 are.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 565 :

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

1, 5, 113, 565

GCD of numbers is the greatest common divisor

So, the GCD (855, 980, 470, 565) = 5.

Given numbers are 855, 980, 470, 565

The list of prime factors of all numbers are

Prime factors of 855 are 3 x 3 x 5 x 19

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 470 are 2 x 5 x 47

Prime factors of 565 are 5 x 113

The highest common occurrence is 5¹

Therefore, GCD of 855, 980, 470, 565 is 5.

Given numbers are 855, 980, 470, 565

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

Apply this formula for all numbers.

Step1:

LCM(855, 980) = 167580

GCD(855, 980) = ( 855 x 980 ) / 167580

= 855 / 980

= 855

Step2:

LCM(5, 470) = 470

GCD(5, 470) = ( 5 x 470 ) / 470

= 5 / 470

= 5

Step3:

LCM(5, 565) = 565

GCD(5, 565) = ( 5 x 565 ) / 565

= 5 / 565

= 5

So, Greatest Common Divisor of 855, 980, 470, 565 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 969, 421, 816, 370
• GCD of 354, 614, 943, 220
• GCD of 614, 821, 924, 141
• GCD of 669, 291, 639, 954
• GCD of 927, 444, 470, 729

Given numbers are 855, 980, 470, 565
The greatest common divisor of numbers 855, 980, 470, 565 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 855, 980, 470, 565 is 5.

1. What is the GCD of 855, 980, 470, 565?

GCD of given numbers 855, 980, 470, 565 is 5

2. How to calculate the greatest common divisor of 855, 980, 470, 565?

We can find the highest common divisor of 855, 980, 470, 565 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 855, 980, 470, 565 i.e 5.

3. How can I use the GCD of 855, 980, 470, 565Calculator?

Out the numbers 855, 980, 470, 565 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.