GCD of 852, 517, 938, 240 Calculator

Given Input numbers are 852, 517, 938, 240

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

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 517 :

The positive integer divisors of 517 that completely divides 517 are.

1, 11, 47, 517

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

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 (852, 517, 938, 240) = 1.

Given numbers are 852, 517, 938, 240

The list of prime factors of all numbers are

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 517 are 11 x 47

Prime factors of 938 are 2 x 7 x 67

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 852, 517, 938, 240

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

Apply this formula for all numbers.

Step1:

LCM(852, 517) = 440484

GCD(852, 517) = ( 852 x 517 ) / 440484

= 852 / 517

= 852

Step2:

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

= 1 / 938

= 1

Step3:

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

= 1 / 240

= 1

So, Greatest Common Divisor of 852, 517, 938, 240 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 805, 336, 202, 336
• GCD of 161, 492, 135, 225
• GCD of 652, 637, 126, 506
• GCD of 589, 670, 790, 911
• GCD of 126, 748, 188, 351

Given numbers are 852, 517, 938, 240
The greatest common divisor of numbers 852, 517, 938, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 517, 938, 240 is 1.

1. What is the GCD of 852, 517, 938, 240?

GCD of given numbers 852, 517, 938, 240 is 1

2. How to calculate the greatest common divisor of 852, 517, 938, 240?

We can find the highest common divisor of 852, 517, 938, 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 852, 517, 938, 240 i.e 1.

3. How can I use the GCD of 852, 517, 938, 240Calculator?

Out the numbers 852, 517, 938, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.