GCD of 750, 314, 728, 652 Calculator

Given Input numbers are 750, 314, 728, 652

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

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

GCD of numbers is the greatest common divisor

So, the GCD (750, 314, 728, 652) = 2.

Given numbers are 750, 314, 728, 652

The list of prime factors of all numbers are

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

Prime factors of 314 are 2 x 157

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 652 are 2 x 2 x 163

The highest common occurrence is 2¹

Therefore, GCD of 750, 314, 728, 652 is 2.

Given numbers are 750, 314, 728, 652

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

Apply this formula for all numbers.

Step1:

LCM(750, 314) = 117750

GCD(750, 314) = ( 750 x 314 ) / 117750

= 750 / 314

= 750

Step2:

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

= 2 / 728

= 2

Step3:

LCM(2, 652) = 652

GCD(2, 652) = ( 2 x 652 ) / 652

= 2 / 652

= 2

So, Greatest Common Divisor of 750, 314, 728, 652 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 736, 150, 599, 791
• GCD of 679, 915, 834, 887
• GCD of 980, 674, 245, 812
• GCD of 910, 587, 560, 195
• GCD of 933, 316, 107, 446

Given numbers are 750, 314, 728, 652
The greatest common divisor of numbers 750, 314, 728, 652 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 750, 314, 728, 652 is 2.

1. What is the GCD of 750, 314, 728, 652?

GCD of given numbers 750, 314, 728, 652 is 2

2. How to calculate the greatest common divisor of 750, 314, 728, 652?

We can find the highest common divisor of 750, 314, 728, 652 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 750, 314, 728, 652 i.e 2.

3. How can I use the GCD of 750, 314, 728, 652Calculator?

Out the numbers 750, 314, 728, 652 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.