GCD of 852, 456, 698, 336 Calculator

Given Input numbers are 852, 456, 698, 336

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

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

GCD of numbers is the greatest common divisor

So, the GCD (852, 456, 698, 336) = 2.

Given numbers are 852, 456, 698, 336

The list of prime factors of all numbers are

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 698 are 2 x 349

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 852, 456, 698, 336 is 2.

Given numbers are 852, 456, 698, 336

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

Apply this formula for all numbers.

Step1:

LCM(852, 456) = 32376

GCD(852, 456) = ( 852 x 456 ) / 32376

= 852 / 456

= 852

Step2:

LCM(12, 698) = 4188

GCD(12, 698) = ( 12 x 698 ) / 4188

= 12 / 698

= 12

Step3:

LCM(2, 336) = 336

GCD(2, 336) = ( 2 x 336 ) / 336

= 2 / 336

= 2

So, Greatest Common Divisor of 852, 456, 698, 336 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 474, 658, 283, 785
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• GCD of 399, 548, 710, 894
• GCD of 168, 175, 469, 159

Given numbers are 852, 456, 698, 336
The greatest common divisor of numbers 852, 456, 698, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 456, 698, 336 is 2.

1. What is the GCD of 852, 456, 698, 336?

GCD of given numbers 852, 456, 698, 336 is 2

2. How to calculate the greatest common divisor of 852, 456, 698, 336?

We can find the highest common divisor of 852, 456, 698, 336 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 852, 456, 698, 336 i.e 2.

3. How can I use the GCD of 852, 456, 698, 336Calculator?

Out the numbers 852, 456, 698, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.