GCD of 552, 764, 312, 740 Calculator

Given Input numbers are 552, 764, 312, 740

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

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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 (552, 764, 312, 740) = 4.

Given numbers are 552, 764, 312, 740

The list of prime factors of all numbers are

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 764 are 2 x 2 x 191

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

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

The highest common occurrence is 2²

Therefore, GCD of 552, 764, 312, 740 is 4.

Given numbers are 552, 764, 312, 740

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

Apply this formula for all numbers.

Step1:

LCM(552, 764) = 105432

GCD(552, 764) = ( 552 x 764 ) / 105432

= 552 / 764

= 552

Step2:

LCM(4, 312) = 312

GCD(4, 312) = ( 4 x 312 ) / 312

= 4 / 312

= 4

Step3:

LCM(4, 740) = 740

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

= 4 / 740

= 4

So, Greatest Common Divisor of 552, 764, 312, 740 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 797, 682, 326, 997
• GCD of 573, 255, 957, 958
• GCD of 910, 273, 436, 802
• GCD of 977, 231, 299, 766
• GCD of 683, 512, 525, 472

Given numbers are 552, 764, 312, 740
The greatest common divisor of numbers 552, 764, 312, 740 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 552, 764, 312, 740 is 4.

1. What is the GCD of 552, 764, 312, 740?

GCD of given numbers 552, 764, 312, 740 is 4

2. How to calculate the greatest common divisor of 552, 764, 312, 740?

We can find the highest common divisor of 552, 764, 312, 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 552, 764, 312, 740 i.e 4.

3. How can I use the GCD of 552, 764, 312, 740Calculator?

Out the numbers 552, 764, 312, 740 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.