GCD of 752, 238, 460, 662 Calculator

Given Input numbers are 752, 238, 460, 662

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 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 662 :

The positive integer divisors of 662 that completely divides 662 are.

1, 2, 331, 662

GCD of numbers is the greatest common divisor

So, the GCD (752, 238, 460, 662) = 2.

Given numbers are 752, 238, 460, 662

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 238 are 2 x 7 x 17

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 662 are 2 x 331

The highest common occurrence is 2¹

Therefore, GCD of 752, 238, 460, 662 is 2.

Given numbers are 752, 238, 460, 662

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

Apply this formula for all numbers.

Step1:

LCM(752, 238) = 89488

GCD(752, 238) = ( 752 x 238 ) / 89488

= 752 / 238

= 752

Step2:

LCM(2, 460) = 460

GCD(2, 460) = ( 2 x 460 ) / 460

= 2 / 460

= 2

Step3:

LCM(2, 662) = 662

GCD(2, 662) = ( 2 x 662 ) / 662

= 2 / 662

= 2

So, Greatest Common Divisor of 752, 238, 460, 662 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 758, 645, 153, 864
• GCD of 414, 244, 655, 397
• GCD of 530, 682, 376, 179
• GCD of 166, 592, 627, 727
• GCD of 502, 465, 274, 919

Given numbers are 752, 238, 460, 662
The greatest common divisor of numbers 752, 238, 460, 662 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 238, 460, 662 is 2.

1. What is the GCD of 752, 238, 460, 662?

GCD of given numbers 752, 238, 460, 662 is 2

2. How to calculate the greatest common divisor of 752, 238, 460, 662?

We can find the highest common divisor of 752, 238, 460, 662 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, 238, 460, 662 i.e 2.

3. How can I use the GCD of 752, 238, 460, 662Calculator?

Out the numbers 752, 238, 460, 662 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.