GCD of 856, 484, 702, 442 Calculator

Given Input numbers are 856, 484, 702, 442

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

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

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 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

GCD of numbers is the greatest common divisor

So, the GCD (856, 484, 702, 442) = 2.

Given numbers are 856, 484, 702, 442

The list of prime factors of all numbers are

Prime factors of 856 are 2 x 2 x 2 x 107

Prime factors of 484 are 2 x 2 x 11 x 11

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

Prime factors of 442 are 2 x 13 x 17

The highest common occurrence is 2¹

Therefore, GCD of 856, 484, 702, 442 is 2.

Given numbers are 856, 484, 702, 442

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

Apply this formula for all numbers.

Step1:

LCM(856, 484) = 103576

GCD(856, 484) = ( 856 x 484 ) / 103576

= 856 / 484

= 856

Step2:

LCM(4, 702) = 1404

GCD(4, 702) = ( 4 x 702 ) / 1404

= 4 / 702

= 4

Step3:

LCM(2, 442) = 442

GCD(2, 442) = ( 2 x 442 ) / 442

= 2 / 442

= 2

So, Greatest Common Divisor of 856, 484, 702, 442 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 106, 973, 620, 614
• GCD of 114, 652, 422, 174
• GCD of 841, 613, 689, 179
• GCD of 802, 694, 585, 416
• GCD of 506, 210, 816, 801

Given numbers are 856, 484, 702, 442
The greatest common divisor of numbers 856, 484, 702, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 856, 484, 702, 442 is 2.

1. What is the GCD of 856, 484, 702, 442?

GCD of given numbers 856, 484, 702, 442 is 2

2. How to calculate the greatest common divisor of 856, 484, 702, 442?

We can find the highest common divisor of 856, 484, 702, 442 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 856, 484, 702, 442 i.e 2.

3. How can I use the GCD of 856, 484, 702, 442Calculator?

Out the numbers 856, 484, 702, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.