GCD of 752, 402, 364, 474 Calculator

Given Input numbers are 752, 402, 364, 474

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

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 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

GCD of numbers is the greatest common divisor

So, the GCD (752, 402, 364, 474) = 2.

Given numbers are 752, 402, 364, 474

The list of prime factors of all numbers are

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

Prime factors of 402 are 2 x 3 x 67

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 474 are 2 x 3 x 79

The highest common occurrence is 2¹

Therefore, GCD of 752, 402, 364, 474 is 2.

Given numbers are 752, 402, 364, 474

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

Apply this formula for all numbers.

Step1:

LCM(752, 402) = 151152

GCD(752, 402) = ( 752 x 402 ) / 151152

= 752 / 402

= 752

Step2:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

Step3:

LCM(2, 474) = 474

GCD(2, 474) = ( 2 x 474 ) / 474

= 2 / 474

= 2

So, Greatest Common Divisor of 752, 402, 364, 474 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 514, 651, 589, 575
• GCD of 900, 234, 138, 265
• GCD of 912, 671, 909, 252
• GCD of 408, 147, 758, 361
• GCD of 551, 827, 569, 697

Given numbers are 752, 402, 364, 474
The greatest common divisor of numbers 752, 402, 364, 474 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 402, 364, 474 is 2.

1. What is the GCD of 752, 402, 364, 474?

GCD of given numbers 752, 402, 364, 474 is 2

2. How to calculate the greatest common divisor of 752, 402, 364, 474?

We can find the highest common divisor of 752, 402, 364, 474 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 752, 402, 364, 474 i.e 2.

3. How can I use the GCD of 752, 402, 364, 474Calculator?

Out the numbers 752, 402, 364, 474 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.