GCD of 838, 748, 315, 772 Calculator

Given Input numbers are 838, 748, 315, 772

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

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

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 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

GCD of numbers is the greatest common divisor

So, the GCD (838, 748, 315, 772) = 1.

Given numbers are 838, 748, 315, 772

The list of prime factors of all numbers are

Prime factors of 838 are 2 x 419

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

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 772 are 2 x 2 x 193

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

Given numbers are 838, 748, 315, 772

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

Apply this formula for all numbers.

Step1:

LCM(838, 748) = 313412

GCD(838, 748) = ( 838 x 748 ) / 313412

= 838 / 748

= 838

Step2:

LCM(2, 315) = 630

GCD(2, 315) = ( 2 x 315 ) / 630

= 2 / 315

= 2

Step3:

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

= 1 / 772

= 1

So, Greatest Common Divisor of 838, 748, 315, 772 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 576, 668, 112, 147
• GCD of 444, 900, 436, 771
• GCD of 307, 219, 973, 196
• GCD of 129, 837, 259, 838
• GCD of 310, 479, 514, 688

Given numbers are 838, 748, 315, 772
The greatest common divisor of numbers 838, 748, 315, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 748, 315, 772 is 1.

1. What is the GCD of 838, 748, 315, 772?

GCD of given numbers 838, 748, 315, 772 is 1

2. How to calculate the greatest common divisor of 838, 748, 315, 772?

We can find the highest common divisor of 838, 748, 315, 772 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 838, 748, 315, 772 i.e 1.

3. How can I use the GCD of 838, 748, 315, 772Calculator?

Out the numbers 838, 748, 315, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.