GCD of 612, 208, 870, 134 Calculator

Given Input numbers are 612, 208, 870, 134

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

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

GCD of numbers is the greatest common divisor

So, the GCD (612, 208, 870, 134) = 2.

Given numbers are 612, 208, 870, 134

The list of prime factors of all numbers are

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

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

Prime factors of 134 are 2 x 67

The highest common occurrence is 2¹

Therefore, GCD of 612, 208, 870, 134 is 2.

Given numbers are 612, 208, 870, 134

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

Apply this formula for all numbers.

Step1:

LCM(612, 208) = 31824

GCD(612, 208) = ( 612 x 208 ) / 31824

= 612 / 208

= 612

Step2:

LCM(4, 870) = 1740

GCD(4, 870) = ( 4 x 870 ) / 1740

= 4 / 870

= 4

Step3:

LCM(2, 134) = 134

GCD(2, 134) = ( 2 x 134 ) / 134

= 2 / 134

= 2

So, Greatest Common Divisor of 612, 208, 870, 134 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 678, 883, 255, 146
• GCD of 381, 481, 170, 640
• GCD of 822, 932, 634, 942
• GCD of 864, 705, 310, 170
• GCD of 365, 382, 205, 536

Given numbers are 612, 208, 870, 134
The greatest common divisor of numbers 612, 208, 870, 134 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 612, 208, 870, 134 is 2.

1. What is the GCD of 612, 208, 870, 134?

GCD of given numbers 612, 208, 870, 134 is 2

2. How to calculate the greatest common divisor of 612, 208, 870, 134?

We can find the highest common divisor of 612, 208, 870, 134 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 612, 208, 870, 134 i.e 2.

3. How can I use the GCD of 612, 208, 870, 134Calculator?

Out the numbers 612, 208, 870, 134 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.