GCD of 170, 564, 348, 770 Calculator

Given Input numbers are 170, 564, 348, 770

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 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

GCD of numbers is the greatest common divisor

So, the GCD (170, 564, 348, 770) = 2.

Given numbers are 170, 564, 348, 770

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 770 are 2 x 5 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 170, 564, 348, 770 is 2.

Given numbers are 170, 564, 348, 770

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

Apply this formula for all numbers.

Step1:

LCM(170, 564) = 47940

GCD(170, 564) = ( 170 x 564 ) / 47940

= 170 / 564

= 170

Step2:

LCM(2, 348) = 348

GCD(2, 348) = ( 2 x 348 ) / 348

= 2 / 348

= 2

Step3:

LCM(2, 770) = 770

GCD(2, 770) = ( 2 x 770 ) / 770

= 2 / 770

= 2

So, Greatest Common Divisor of 170, 564, 348, 770 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 919, 290, 490, 360
• GCD of 355, 194, 854, 204
• GCD of 802, 161, 882, 262
• GCD of 344, 826, 159, 143
• GCD of 899, 260, 519, 795

Given numbers are 170, 564, 348, 770
The greatest common divisor of numbers 170, 564, 348, 770 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 564, 348, 770 is 2.

1. What is the GCD of 170, 564, 348, 770?

GCD of given numbers 170, 564, 348, 770 is 2

2. How to calculate the greatest common divisor of 170, 564, 348, 770?

We can find the highest common divisor of 170, 564, 348, 770 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, 564, 348, 770 i.e 2.

3. How can I use the GCD of 170, 564, 348, 770Calculator?

Out the numbers 170, 564, 348, 770 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.