GCD of 170, 870, 48, 316 Calculator

Given Input numbers are 170, 870, 48, 316

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

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

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 48 :

The positive integer divisors of 48 that completely divides 48 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

GCD of numbers is the greatest common divisor

So, the GCD (170, 870, 48, 316) = 2.

Given numbers are 170, 870, 48, 316

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

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

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

Prime factors of 316 are 2 x 2 x 79

The highest common occurrence is 2¹

Therefore, GCD of 170, 870, 48, 316 is 2.

Given numbers are 170, 870, 48, 316

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

Apply this formula for all numbers.

Step1:

LCM(170, 870) = 14790

GCD(170, 870) = ( 170 x 870 ) / 14790

= 170 / 870

= 170

Step2:

LCM(10, 48) = 240

GCD(10, 48) = ( 10 x 48 ) / 240

= 10 / 48

= 10

Step3:

LCM(2, 316) = 316

GCD(2, 316) = ( 2 x 316 ) / 316

= 2 / 316

= 2

So, Greatest Common Divisor of 170, 870, 48, 316 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 896, 421, 96, 246
• GCD of 353, 623, 76, 420
• GCD of 736, 198, 66, 112
• GCD of 651, 123, 78, 611
• GCD of 782, 331, 43, 355

Given numbers are 170, 870, 48, 316
The greatest common divisor of numbers 170, 870, 48, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 870, 48, 316 is 2.

1. What is the GCD of 170, 870, 48, 316?

GCD of given numbers 170, 870, 48, 316 is 2

2. How to calculate the greatest common divisor of 170, 870, 48, 316?

We can find the highest common divisor of 170, 870, 48, 316 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 170, 870, 48, 316 i.e 2.

3. How can I use the GCD of 170, 870, 48, 316Calculator?

Out the numbers 170, 870, 48, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.