GCD of 738, 142, 931, 428 Calculator

Given Input numbers are 738, 142, 931, 428

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 931 :

The positive integer divisors of 931 that completely divides 931 are.

1, 7, 19, 49, 133, 931

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (738, 142, 931, 428) = 1.

Given numbers are 738, 142, 931, 428

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 142 are 2 x 71

Prime factors of 931 are 7 x 7 x 19

Prime factors of 428 are 2 x 2 x 107

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

Given numbers are 738, 142, 931, 428

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

Apply this formula for all numbers.

Step1:

LCM(738, 142) = 52398

GCD(738, 142) = ( 738 x 142 ) / 52398

= 738 / 142

= 738

Step2:

LCM(2, 931) = 1862

GCD(2, 931) = ( 2 x 931 ) / 1862

= 2 / 931

= 2

Step3:

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

= 1 / 428

= 1

So, Greatest Common Divisor of 738, 142, 931, 428 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 695, 506, 799, 608
• GCD of 252, 206, 930, 508
• GCD of 653, 326, 901, 455
• GCD of 835, 811, 350, 917
• GCD of 454, 290, 326, 693

Given numbers are 738, 142, 931, 428
The greatest common divisor of numbers 738, 142, 931, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 142, 931, 428 is 1.

1. What is the GCD of 738, 142, 931, 428?

GCD of given numbers 738, 142, 931, 428 is 1

2. How to calculate the greatest common divisor of 738, 142, 931, 428?

We can find the highest common divisor of 738, 142, 931, 428 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 738, 142, 931, 428 i.e 1.

3. How can I use the GCD of 738, 142, 931, 428Calculator?

Out the numbers 738, 142, 931, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.