GCD of 852, 394, 752, 688 Calculator

Given Input numbers are 852, 394, 752, 688

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 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

GCD of numbers is the greatest common divisor

So, the GCD (852, 394, 752, 688) = 2.

Given numbers are 852, 394, 752, 688

The list of prime factors of all numbers are

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

Prime factors of 394 are 2 x 197

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 852, 394, 752, 688 is 2.

Given numbers are 852, 394, 752, 688

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

Apply this formula for all numbers.

Step1:

LCM(852, 394) = 167844

GCD(852, 394) = ( 852 x 394 ) / 167844

= 852 / 394

= 852

Step2:

LCM(2, 752) = 752

GCD(2, 752) = ( 2 x 752 ) / 752

= 2 / 752

= 2

Step3:

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

= 2 / 688

= 2

So, Greatest Common Divisor of 852, 394, 752, 688 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 171, 854, 181, 316
• GCD of 584, 774, 465, 589
• GCD of 860, 862, 661, 519
• GCD of 802, 642, 140, 588
• GCD of 413, 166, 298, 617

Given numbers are 852, 394, 752, 688
The greatest common divisor of numbers 852, 394, 752, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 394, 752, 688 is 2.

1. What is the GCD of 852, 394, 752, 688?

GCD of given numbers 852, 394, 752, 688 is 2

2. How to calculate the greatest common divisor of 852, 394, 752, 688?

We can find the highest common divisor of 852, 394, 752, 688 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, 394, 752, 688 i.e 2.

3. How can I use the GCD of 852, 394, 752, 688Calculator?

Out the numbers 852, 394, 752, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.