GCD of 338, 532, 827, 760 Calculator

Given Input numbers are 338, 532, 827, 760

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

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

GCD of numbers is the greatest common divisor

So, the GCD (338, 532, 827, 760) = 1.

Given numbers are 338, 532, 827, 760

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 532 are 2 x 2 x 7 x 19

Prime factors of 827 are 827

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

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

Given numbers are 338, 532, 827, 760

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

Apply this formula for all numbers.

Step1:

LCM(338, 532) = 89908

GCD(338, 532) = ( 338 x 532 ) / 89908

= 338 / 532

= 338

Step2:

LCM(2, 827) = 1654

GCD(2, 827) = ( 2 x 827 ) / 1654

= 2 / 827

= 2

Step3:

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

= 1 / 760

= 1

So, Greatest Common Divisor of 338, 532, 827, 760 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 229, 609, 706, 488
• GCD of 179, 329, 194, 529
• GCD of 734, 319, 923, 433
• GCD of 519, 958, 656, 105
• GCD of 741, 975, 237, 304

Given numbers are 338, 532, 827, 760
The greatest common divisor of numbers 338, 532, 827, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 532, 827, 760 is 1.

1. What is the GCD of 338, 532, 827, 760?

GCD of given numbers 338, 532, 827, 760 is 1

2. How to calculate the greatest common divisor of 338, 532, 827, 760?

We can find the highest common divisor of 338, 532, 827, 760 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 338, 532, 827, 760 i.e 1.

3. How can I use the GCD of 338, 532, 827, 760Calculator?

Out the numbers 338, 532, 827, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.