GCD of 338, 975, 527, 743 Calculator

Given Input numbers are 338, 975, 527, 743

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 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 527 :

The positive integer divisors of 527 that completely divides 527 are.

1, 17, 31, 527

Divisors of 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

GCD of numbers is the greatest common divisor

So, the GCD (338, 975, 527, 743) = 1.

Given numbers are 338, 975, 527, 743

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 527 are 17 x 31

Prime factors of 743 are 743

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

Given numbers are 338, 975, 527, 743

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

Apply this formula for all numbers.

Step1:

LCM(338, 975) = 25350

GCD(338, 975) = ( 338 x 975 ) / 25350

= 338 / 975

= 338

Step2:

LCM(13, 527) = 6851

GCD(13, 527) = ( 13 x 527 ) / 6851

= 13 / 527

= 13

Step3:

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

= 1 / 743

= 1

So, Greatest Common Divisor of 338, 975, 527, 743 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 252, 465, 455, 848
• GCD of 421, 311, 739, 262
• GCD of 746, 957, 597, 249
• GCD of 324, 410, 840, 646
• GCD of 279, 697, 742, 848

Given numbers are 338, 975, 527, 743
The greatest common divisor of numbers 338, 975, 527, 743 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 975, 527, 743 is 1.

1. What is the GCD of 338, 975, 527, 743?

GCD of given numbers 338, 975, 527, 743 is 1

2. How to calculate the greatest common divisor of 338, 975, 527, 743?

We can find the highest common divisor of 338, 975, 527, 743 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, 975, 527, 743 i.e 1.

3. How can I use the GCD of 338, 975, 527, 743Calculator?

Out the numbers 338, 975, 527, 743 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.