GCD of 702, 826, 42, 586 Calculator

Given Input numbers are 702, 826, 42, 586

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

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 826 :

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

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

Divisors of 42 :

The positive integer divisors of 42 that completely divides 42 are.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

GCD of numbers is the greatest common divisor

So, the GCD (702, 826, 42, 586) = 2.

Given numbers are 702, 826, 42, 586

The list of prime factors of all numbers are

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 826 are 2 x 7 x 59

Prime factors of 42 are 2 x 3 x 7

Prime factors of 586 are 2 x 293

The highest common occurrence is 2¹

Therefore, GCD of 702, 826, 42, 586 is 2.

Given numbers are 702, 826, 42, 586

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

Apply this formula for all numbers.

Step1:

LCM(702, 826) = 289926

GCD(702, 826) = ( 702 x 826 ) / 289926

= 702 / 826

= 702

Step2:

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

= 2 / 42

= 2

Step3:

LCM(2, 586) = 586

GCD(2, 586) = ( 2 x 586 ) / 586

= 2 / 586

= 2

So, Greatest Common Divisor of 702, 826, 42, 586 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 365, 187, 77, 836
• GCD of 511, 988, 38, 758
• GCD of 677, 594, 96, 949
• GCD of 940, 323, 22, 519
• GCD of 149, 921, 11, 928

Given numbers are 702, 826, 42, 586
The greatest common divisor of numbers 702, 826, 42, 586 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 826, 42, 586 is 2.

1. What is the GCD of 702, 826, 42, 586?

GCD of given numbers 702, 826, 42, 586 is 2

2. How to calculate the greatest common divisor of 702, 826, 42, 586?

We can find the highest common divisor of 702, 826, 42, 586 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 702, 826, 42, 586 i.e 2.

3. How can I use the GCD of 702, 826, 42, 586Calculator?

Out the numbers 702, 826, 42, 586 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.