GCD of 524, 852, 768, 740 Calculator

Given Input numbers are 524, 852, 768, 740

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

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

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 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

GCD of numbers is the greatest common divisor

So, the GCD (524, 852, 768, 740) = 4.

Given numbers are 524, 852, 768, 740

The list of prime factors of all numbers are

Prime factors of 524 are 2 x 2 x 131

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

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 740 are 2 x 2 x 5 x 37

The highest common occurrence is 2²

Therefore, GCD of 524, 852, 768, 740 is 4.

Given numbers are 524, 852, 768, 740

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

Apply this formula for all numbers.

Step1:

LCM(524, 852) = 111612

GCD(524, 852) = ( 524 x 852 ) / 111612

= 524 / 852

= 524

Step2:

LCM(4, 768) = 768

GCD(4, 768) = ( 4 x 768 ) / 768

= 4 / 768

= 4

Step3:

LCM(4, 740) = 740

GCD(4, 740) = ( 4 x 740 ) / 740

= 4 / 740

= 4

So, Greatest Common Divisor of 524, 852, 768, 740 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 728, 828, 562, 954
• GCD of 546, 541, 522, 734
• GCD of 803, 152, 371, 825
• GCD of 333, 455, 901, 913
• GCD of 269, 220, 884, 759

Given numbers are 524, 852, 768, 740
The greatest common divisor of numbers 524, 852, 768, 740 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 524, 852, 768, 740 is 4.

1. What is the GCD of 524, 852, 768, 740?

GCD of given numbers 524, 852, 768, 740 is 4

2. How to calculate the greatest common divisor of 524, 852, 768, 740?

We can find the highest common divisor of 524, 852, 768, 740 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 524, 852, 768, 740 i.e 4.

3. How can I use the GCD of 524, 852, 768, 740Calculator?

Out the numbers 524, 852, 768, 740 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.