GCD of 748, 213, 586, 938 Calculator

Given Input numbers are 748, 213, 586, 938

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

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

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

GCD of numbers is the greatest common divisor

So, the GCD (748, 213, 586, 938) = 1.

Given numbers are 748, 213, 586, 938

The list of prime factors of all numbers are

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

Prime factors of 213 are 3 x 71

Prime factors of 586 are 2 x 293

Prime factors of 938 are 2 x 7 x 67

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

Given numbers are 748, 213, 586, 938

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

Apply this formula for all numbers.

Step1:

LCM(748, 213) = 159324

GCD(748, 213) = ( 748 x 213 ) / 159324

= 748 / 213

= 748

Step2:

LCM(1, 586) = 586

GCD(1, 586) = ( 1 x 586 ) / 586

= 1 / 586

= 1

Step3:

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

= 1 / 938

= 1

So, Greatest Common Divisor of 748, 213, 586, 938 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 866, 875, 201, 847
• GCD of 506, 454, 694, 520
• GCD of 828, 273, 296, 809
• GCD of 333, 518, 898, 421
• GCD of 526, 994, 867, 235

Given numbers are 748, 213, 586, 938
The greatest common divisor of numbers 748, 213, 586, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 213, 586, 938 is 1.

1. What is the GCD of 748, 213, 586, 938?

GCD of given numbers 748, 213, 586, 938 is 1

2. How to calculate the greatest common divisor of 748, 213, 586, 938?

We can find the highest common divisor of 748, 213, 586, 938 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 748, 213, 586, 938 i.e 1.

3. How can I use the GCD of 748, 213, 586, 938Calculator?

Out the numbers 748, 213, 586, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.