GCD of 756, 764, 448, 564 Calculator

Given Input numbers are 756, 764, 448, 564

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

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 764 :

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

1, 2, 4, 191, 382, 764

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (756, 764, 448, 564) = 4.

Given numbers are 756, 764, 448, 564

The list of prime factors of all numbers are

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 764 are 2 x 2 x 191

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 564 are 2 x 2 x 3 x 47

The highest common occurrence is 2²

Therefore, GCD of 756, 764, 448, 564 is 4.

Given numbers are 756, 764, 448, 564

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

Apply this formula for all numbers.

Step1:

LCM(756, 764) = 144396

GCD(756, 764) = ( 756 x 764 ) / 144396

= 756 / 764

= 756

Step2:

LCM(4, 448) = 448

GCD(4, 448) = ( 4 x 448 ) / 448

= 4 / 448

= 4

Step3:

LCM(4, 564) = 564

GCD(4, 564) = ( 4 x 564 ) / 564

= 4 / 564

= 4

So, Greatest Common Divisor of 756, 764, 448, 564 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 452, 374, 749, 294
• GCD of 909, 902, 304, 429
• GCD of 890, 331, 125, 943
• GCD of 881, 137, 714, 231
• GCD of 800, 709, 245, 766

Given numbers are 756, 764, 448, 564
The greatest common divisor of numbers 756, 764, 448, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 764, 448, 564 is 4.

1. What is the GCD of 756, 764, 448, 564?

GCD of given numbers 756, 764, 448, 564 is 4

2. How to calculate the greatest common divisor of 756, 764, 448, 564?

We can find the highest common divisor of 756, 764, 448, 564 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 756, 764, 448, 564 i.e 4.

3. How can I use the GCD of 756, 764, 448, 564Calculator?

Out the numbers 756, 764, 448, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.