GCD of 315, 870, 698, 826 Calculator

Given Input numbers are 315, 870, 698, 826

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

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

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 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

GCD of numbers is the greatest common divisor

So, the GCD (315, 870, 698, 826) = 1.

Given numbers are 315, 870, 698, 826

The list of prime factors of all numbers are

Prime factors of 315 are 3 x 3 x 5 x 7

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

Prime factors of 698 are 2 x 349

Prime factors of 826 are 2 x 7 x 59

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

Given numbers are 315, 870, 698, 826

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

Apply this formula for all numbers.

Step1:

LCM(315, 870) = 18270

GCD(315, 870) = ( 315 x 870 ) / 18270

= 315 / 870

= 315

Step2:

LCM(15, 698) = 10470

GCD(15, 698) = ( 15 x 698 ) / 10470

= 15 / 698

= 15

Step3:

LCM(1, 826) = 826

GCD(1, 826) = ( 1 x 826 ) / 826

= 1 / 826

= 1

So, Greatest Common Divisor of 315, 870, 698, 826 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 985, 787, 278, 844
• GCD of 613, 590, 218, 493
• GCD of 639, 706, 393, 423
• GCD of 727, 160, 512, 391
• GCD of 106, 601, 619, 659

Given numbers are 315, 870, 698, 826
The greatest common divisor of numbers 315, 870, 698, 826 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 870, 698, 826 is 1.

1. What is the GCD of 315, 870, 698, 826?

GCD of given numbers 315, 870, 698, 826 is 1

2. How to calculate the greatest common divisor of 315, 870, 698, 826?

We can find the highest common divisor of 315, 870, 698, 826 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 315, 870, 698, 826 i.e 1.

3. How can I use the GCD of 315, 870, 698, 826Calculator?

Out the numbers 315, 870, 698, 826 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.