GCD of 406, 702, 952, 836 Calculator

Given Input numbers are 406, 702, 952, 836

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

Divisors of 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406

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 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 836 :

The positive integer divisors of 836 that completely divides 836 are.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

GCD of numbers is the greatest common divisor

So, the GCD (406, 702, 952, 836) = 2.

Given numbers are 406, 702, 952, 836

The list of prime factors of all numbers are

Prime factors of 406 are 2 x 7 x 29

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

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 836 are 2 x 2 x 11 x 19

The highest common occurrence is 2¹

Therefore, GCD of 406, 702, 952, 836 is 2.

Given numbers are 406, 702, 952, 836

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

Apply this formula for all numbers.

Step1:

LCM(406, 702) = 142506

GCD(406, 702) = ( 406 x 702 ) / 142506

= 406 / 702

= 406

Step2:

LCM(2, 952) = 952

GCD(2, 952) = ( 2 x 952 ) / 952

= 2 / 952

= 2

Step3:

LCM(2, 836) = 836

GCD(2, 836) = ( 2 x 836 ) / 836

= 2 / 836

= 2

So, Greatest Common Divisor of 406, 702, 952, 836 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 123, 260, 524, 447
• GCD of 807, 547, 801, 491
• GCD of 420, 254, 326, 947
• GCD of 909, 441, 523, 143
• GCD of 968, 635, 126, 781

Given numbers are 406, 702, 952, 836
The greatest common divisor of numbers 406, 702, 952, 836 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 406, 702, 952, 836 is 2.

1. What is the GCD of 406, 702, 952, 836?

GCD of given numbers 406, 702, 952, 836 is 2

2. How to calculate the greatest common divisor of 406, 702, 952, 836?

We can find the highest common divisor of 406, 702, 952, 836 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 406, 702, 952, 836 i.e 2.

3. How can I use the GCD of 406, 702, 952, 836Calculator?

Out the numbers 406, 702, 952, 836 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.