GCD of 375, 936, 714, 240 Calculator

Given Input numbers are 375, 936, 714, 240

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

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

GCD of numbers is the greatest common divisor

So, the GCD (375, 936, 714, 240) = 3.

Given numbers are 375, 936, 714, 240

The list of prime factors of all numbers are

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 375, 936, 714, 240 is 3.

Given numbers are 375, 936, 714, 240

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

Apply this formula for all numbers.

Step1:

LCM(375, 936) = 117000

GCD(375, 936) = ( 375 x 936 ) / 117000

= 375 / 936

= 375

Step2:

LCM(3, 714) = 714

GCD(3, 714) = ( 3 x 714 ) / 714

= 3 / 714

= 3

Step3:

LCM(3, 240) = 240

GCD(3, 240) = ( 3 x 240 ) / 240

= 3 / 240

= 3

So, Greatest Common Divisor of 375, 936, 714, 240 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 893, 315, 590, 502
• GCD of 319, 396, 684, 504
• GCD of 892, 697, 798, 370
• GCD of 324, 723, 849, 202
• GCD of 284, 923, 225, 851

Given numbers are 375, 936, 714, 240
The greatest common divisor of numbers 375, 936, 714, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 375, 936, 714, 240 is 3.

1. What is the GCD of 375, 936, 714, 240?

GCD of given numbers 375, 936, 714, 240 is 3

2. How to calculate the greatest common divisor of 375, 936, 714, 240?

We can find the highest common divisor of 375, 936, 714, 240 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 375, 936, 714, 240 i.e 3.

3. How can I use the GCD of 375, 936, 714, 240Calculator?

Out the numbers 375, 936, 714, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.