GCD of 870, 102, 360, 706 Calculator

Given Input numbers are 870, 102, 360, 706

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 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

GCD of numbers is the greatest common divisor

So, the GCD (870, 102, 360, 706) = 2.

Given numbers are 870, 102, 360, 706

The list of prime factors of all numbers are

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

Prime factors of 102 are 2 x 3 x 17

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 706 are 2 x 353

The highest common occurrence is 2¹

Therefore, GCD of 870, 102, 360, 706 is 2.

Given numbers are 870, 102, 360, 706

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

Apply this formula for all numbers.

Step1:

LCM(870, 102) = 14790

GCD(870, 102) = ( 870 x 102 ) / 14790

= 870 / 102

= 870

Step2:

LCM(6, 360) = 360

GCD(6, 360) = ( 6 x 360 ) / 360

= 6 / 360

= 6

Step3:

LCM(6, 706) = 2118

GCD(6, 706) = ( 6 x 706 ) / 2118

= 6 / 706

= 6

So, Greatest Common Divisor of 870, 102, 360, 706 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 820, 539, 184, 933
• GCD of 846, 563, 662, 476
• GCD of 857, 826, 662, 885
• GCD of 956, 401, 850, 256
• GCD of 106, 144, 557, 212

Given numbers are 870, 102, 360, 706
The greatest common divisor of numbers 870, 102, 360, 706 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 102, 360, 706 is 2.

1. What is the GCD of 870, 102, 360, 706?

GCD of given numbers 870, 102, 360, 706 is 2

2. How to calculate the greatest common divisor of 870, 102, 360, 706?

We can find the highest common divisor of 870, 102, 360, 706 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, 102, 360, 706 i.e 2.

3. How can I use the GCD of 870, 102, 360, 706Calculator?

Out the numbers 870, 102, 360, 706 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.