GCD of 870, 338, 961, 686 Calculator

Given Input numbers are 870, 338, 961, 686

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 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

GCD of numbers is the greatest common divisor

So, the GCD (870, 338, 961, 686) = 1.

Given numbers are 870, 338, 961, 686

The list of prime factors of all numbers are

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

Prime factors of 338 are 2 x 13 x 13

Prime factors of 961 are 31 x 31

Prime factors of 686 are 2 x 7 x 7 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 870, 338, 961, 686

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

Apply this formula for all numbers.

Step1:

LCM(870, 338) = 147030

GCD(870, 338) = ( 870 x 338 ) / 147030

= 870 / 338

= 870

Step2:

LCM(2, 961) = 1922

GCD(2, 961) = ( 2 x 961 ) / 1922

= 2 / 961

= 2

Step3:

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

= 1 / 686

= 1

So, Greatest Common Divisor of 870, 338, 961, 686 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 180, 407, 747, 850
• GCD of 623, 870, 315, 527
• GCD of 632, 956, 458, 128
• GCD of 484, 803, 230, 240
• GCD of 887, 444, 468, 671

Given numbers are 870, 338, 961, 686
The greatest common divisor of numbers 870, 338, 961, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 338, 961, 686 is 1.

1. What is the GCD of 870, 338, 961, 686?

GCD of given numbers 870, 338, 961, 686 is 1

2. How to calculate the greatest common divisor of 870, 338, 961, 686?

We can find the highest common divisor of 870, 338, 961, 686 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, 338, 961, 686 i.e 1.

3. How can I use the GCD of 870, 338, 961, 686Calculator?

Out the numbers 870, 338, 961, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.