GCD of 742, 706, 799, 381 Calculator

Given Input numbers are 742, 706, 799, 381

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

Divisors of 742 :

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

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

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 799 :

The positive integer divisors of 799 that completely divides 799 are.

1, 17, 47, 799

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

GCD of numbers is the greatest common divisor

So, the GCD (742, 706, 799, 381) = 1.

Given numbers are 742, 706, 799, 381

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 706 are 2 x 353

Prime factors of 799 are 17 x 47

Prime factors of 381 are 3 x 127

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

Given numbers are 742, 706, 799, 381

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

Apply this formula for all numbers.

Step1:

LCM(742, 706) = 261926

GCD(742, 706) = ( 742 x 706 ) / 261926

= 742 / 706

= 742

Step2:

LCM(2, 799) = 1598

GCD(2, 799) = ( 2 x 799 ) / 1598

= 2 / 799

= 2

Step3:

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

= 1 / 381

= 1

So, Greatest Common Divisor of 742, 706, 799, 381 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 171, 750, 147, 931
• GCD of 170, 964, 252, 861
• GCD of 163, 340, 271, 371
• GCD of 501, 799, 433, 666
• GCD of 909, 131, 650, 634

Given numbers are 742, 706, 799, 381
The greatest common divisor of numbers 742, 706, 799, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 706, 799, 381 is 1.

1. What is the GCD of 742, 706, 799, 381?

GCD of given numbers 742, 706, 799, 381 is 1

2. How to calculate the greatest common divisor of 742, 706, 799, 381?

We can find the highest common divisor of 742, 706, 799, 381 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 742, 706, 799, 381 i.e 1.

3. How can I use the GCD of 742, 706, 799, 381Calculator?

Out the numbers 742, 706, 799, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.