GCD of 870, 155, 490, 595 Calculator

Given Input numbers are 870, 155, 490, 595

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

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 155 :

The positive integer divisors of 155 that completely divides 155 are.

1, 5, 31, 155

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 595 :

The positive integer divisors of 595 that completely divides 595 are.

1, 5, 7, 17, 35, 85, 119, 595

GCD of numbers is the greatest common divisor

So, the GCD (870, 155, 490, 595) = 5.

Given numbers are 870, 155, 490, 595

The list of prime factors of all numbers are

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 155 are 5 x 31

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 595 are 5 x 7 x 17

The highest common occurrence is 5¹

Therefore, GCD of 870, 155, 490, 595 is 5.

Given numbers are 870, 155, 490, 595

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

Apply this formula for all numbers.

Step1:

LCM(870, 155) = 26970

GCD(870, 155) = ( 870 x 155 ) / 26970

= 870 / 155

= 870

Step2:

LCM(5, 490) = 490

GCD(5, 490) = ( 5 x 490 ) / 490

= 5 / 490

= 5

Step3:

LCM(5, 595) = 595

GCD(5, 595) = ( 5 x 595 ) / 595

= 5 / 595

= 5

So, Greatest Common Divisor of 870, 155, 490, 595 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 435, 241, 956, 759
• GCD of 727, 857, 262, 965
• GCD of 565, 676, 488, 835
• GCD of 204, 347, 721, 347
• GCD of 971, 707, 368, 490

Given numbers are 870, 155, 490, 595
The greatest common divisor of numbers 870, 155, 490, 595 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 155, 490, 595 is 5.

1. What is the GCD of 870, 155, 490, 595?

GCD of given numbers 870, 155, 490, 595 is 5

2. How to calculate the greatest common divisor of 870, 155, 490, 595?

We can find the highest common divisor of 870, 155, 490, 595 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 870, 155, 490, 595 i.e 5.

3. How can I use the GCD of 870, 155, 490, 595Calculator?

Out the numbers 870, 155, 490, 595 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.