GCD of 750, 600, 102, 278 Calculator

Given Input numbers are 750, 600, 102, 278

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 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 278 :

The positive integer divisors of 278 that completely divides 278 are.

1, 2, 139, 278

GCD of numbers is the greatest common divisor

So, the GCD (750, 600, 102, 278) = 2.

Given numbers are 750, 600, 102, 278

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 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 102 are 2 x 3 x 17

Prime factors of 278 are 2 x 139

The highest common occurrence is 2¹

Therefore, GCD of 750, 600, 102, 278 is 2.

Given numbers are 750, 600, 102, 278

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

Apply this formula for all numbers.

Step1:

LCM(750, 600) = 3000

GCD(750, 600) = ( 750 x 600 ) / 3000

= 750 / 600

= 750

Step2:

LCM(150, 102) = 2550

GCD(150, 102) = ( 150 x 102 ) / 2550

= 150 / 102

= 150

Step3:

LCM(6, 278) = 834

GCD(6, 278) = ( 6 x 278 ) / 834

= 6 / 278

= 6

So, Greatest Common Divisor of 750, 600, 102, 278 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 640, 439, 769, 996
• GCD of 385, 252, 668, 268
• GCD of 400, 342, 537, 556
• GCD of 155, 178, 350, 831
• GCD of 687, 291, 282, 982

Given numbers are 750, 600, 102, 278
The greatest common divisor of numbers 750, 600, 102, 278 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 750, 600, 102, 278 is 2.

1. What is the GCD of 750, 600, 102, 278?

GCD of given numbers 750, 600, 102, 278 is 2

2. How to calculate the greatest common divisor of 750, 600, 102, 278?

We can find the highest common divisor of 750, 600, 102, 278 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, 600, 102, 278 i.e 2.

3. How can I use the GCD of 750, 600, 102, 278Calculator?

Out the numbers 750, 600, 102, 278 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.