GCD of 338, 772, 425, 742 Calculator

Given Input numbers are 338, 772, 425, 742

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 772 :

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

1, 2, 4, 193, 386, 772

Divisors of 425 :

The positive integer divisors of 425 that completely divides 425 are.

1, 5, 17, 25, 85, 425

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (338, 772, 425, 742) = 1.

Given numbers are 338, 772, 425, 742

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 772 are 2 x 2 x 193

Prime factors of 425 are 5 x 5 x 17

Prime factors of 742 are 2 x 7 x 53

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

Given numbers are 338, 772, 425, 742

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

Apply this formula for all numbers.

Step1:

LCM(338, 772) = 130468

GCD(338, 772) = ( 338 x 772 ) / 130468

= 338 / 772

= 338

Step2:

LCM(2, 425) = 850

GCD(2, 425) = ( 2 x 425 ) / 850

= 2 / 425

= 2

Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

So, Greatest Common Divisor of 338, 772, 425, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 835, 897, 976, 522
• GCD of 732, 440, 149, 464
• GCD of 124, 902, 908, 257
• GCD of 379, 620, 796, 784
• GCD of 897, 545, 766, 149

Given numbers are 338, 772, 425, 742
The greatest common divisor of numbers 338, 772, 425, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 772, 425, 742 is 1.

1. What is the GCD of 338, 772, 425, 742?

GCD of given numbers 338, 772, 425, 742 is 1

2. How to calculate the greatest common divisor of 338, 772, 425, 742?

We can find the highest common divisor of 338, 772, 425, 742 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, 772, 425, 742 i.e 1.

3. How can I use the GCD of 338, 772, 425, 742Calculator?

Out the numbers 338, 772, 425, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.