GCD of 536, 312, 764, 370 Calculator

Given Input numbers are 536, 312, 764, 370

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

Divisors of 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

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 764 :

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

1, 2, 4, 191, 382, 764

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

GCD of numbers is the greatest common divisor

So, the GCD (536, 312, 764, 370) = 2.

Given numbers are 536, 312, 764, 370

The list of prime factors of all numbers are

Prime factors of 536 are 2 x 2 x 2 x 67

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

Prime factors of 764 are 2 x 2 x 191

Prime factors of 370 are 2 x 5 x 37

The highest common occurrence is 2¹

Therefore, GCD of 536, 312, 764, 370 is 2.

Given numbers are 536, 312, 764, 370

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

Apply this formula for all numbers.

Step1:

LCM(536, 312) = 20904

GCD(536, 312) = ( 536 x 312 ) / 20904

= 536 / 312

= 536

Step2:

LCM(8, 764) = 1528

GCD(8, 764) = ( 8 x 764 ) / 1528

= 8 / 764

= 8

Step3:

LCM(4, 370) = 740

GCD(4, 370) = ( 4 x 370 ) / 740

= 4 / 370

= 4

So, Greatest Common Divisor of 536, 312, 764, 370 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 429, 529, 129, 443
• GCD of 942, 382, 428, 659
• GCD of 122, 129, 336, 507
• GCD of 304, 190, 833, 807
• GCD of 200, 552, 702, 162

Given numbers are 536, 312, 764, 370
The greatest common divisor of numbers 536, 312, 764, 370 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 536, 312, 764, 370 is 2.

1. What is the GCD of 536, 312, 764, 370?

GCD of given numbers 536, 312, 764, 370 is 2

2. How to calculate the greatest common divisor of 536, 312, 764, 370?

We can find the highest common divisor of 536, 312, 764, 370 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 536, 312, 764, 370 i.e 2.

3. How can I use the GCD of 536, 312, 764, 370Calculator?

Out the numbers 536, 312, 764, 370 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.