GCD of 752, 308, 284, 658 Calculator

Given Input numbers are 752, 308, 284, 658

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 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

GCD of numbers is the greatest common divisor

So, the GCD (752, 308, 284, 658) = 2.

Given numbers are 752, 308, 284, 658

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 308 are 2 x 2 x 7 x 11

Prime factors of 284 are 2 x 2 x 71

Prime factors of 658 are 2 x 7 x 47

The highest common occurrence is 2¹

Therefore, GCD of 752, 308, 284, 658 is 2.

Given numbers are 752, 308, 284, 658

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

Apply this formula for all numbers.

Step1:

LCM(752, 308) = 57904

GCD(752, 308) = ( 752 x 308 ) / 57904

= 752 / 308

= 752

Step2:

LCM(4, 284) = 284

GCD(4, 284) = ( 4 x 284 ) / 284

= 4 / 284

= 4

Step3:

LCM(4, 658) = 1316

GCD(4, 658) = ( 4 x 658 ) / 1316

= 4 / 658

= 4

So, Greatest Common Divisor of 752, 308, 284, 658 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 342, 559, 212, 618
• GCD of 784, 338, 173, 499
• GCD of 234, 692, 170, 427
• GCD of 474, 138, 103, 709
• GCD of 622, 649, 754, 754

Given numbers are 752, 308, 284, 658
The greatest common divisor of numbers 752, 308, 284, 658 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 308, 284, 658 is 2.

1. What is the GCD of 752, 308, 284, 658?

GCD of given numbers 752, 308, 284, 658 is 2

2. How to calculate the greatest common divisor of 752, 308, 284, 658?

We can find the highest common divisor of 752, 308, 284, 658 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, 308, 284, 658 i.e 2.

3. How can I use the GCD of 752, 308, 284, 658Calculator?

Out the numbers 752, 308, 284, 658 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.