GCD of 344, 357, 528, 748 Calculator

Given Input numbers are 344, 357, 528, 748

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

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

GCD of numbers is the greatest common divisor

So, the GCD (344, 357, 528, 748) = 1.

Given numbers are 344, 357, 528, 748

The list of prime factors of all numbers are

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 357 are 3 x 7 x 17

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 748 are 2 x 2 x 11 x 17

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

Given numbers are 344, 357, 528, 748

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

Apply this formula for all numbers.

Step1:

LCM(344, 357) = 122808

GCD(344, 357) = ( 344 x 357 ) / 122808

= 344 / 357

= 344

Step2:

LCM(1, 528) = 528

GCD(1, 528) = ( 1 x 528 ) / 528

= 1 / 528

= 1

Step3:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

So, Greatest Common Divisor of 344, 357, 528, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 699, 474, 266, 116
• GCD of 459, 522, 805, 545
• GCD of 860, 343, 437, 123
• GCD of 330, 442, 403, 898
• GCD of 827, 573, 236, 770

Given numbers are 344, 357, 528, 748
The greatest common divisor of numbers 344, 357, 528, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 357, 528, 748 is 1.

1. What is the GCD of 344, 357, 528, 748?

GCD of given numbers 344, 357, 528, 748 is 1

2. How to calculate the greatest common divisor of 344, 357, 528, 748?

We can find the highest common divisor of 344, 357, 528, 748 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 344, 357, 528, 748 i.e 1.

3. How can I use the GCD of 344, 357, 528, 748Calculator?

Out the numbers 344, 357, 528, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.