GCD of 380, 734, 894, 942 Calculator

Given Input numbers are 380, 734, 894, 942

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

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

GCD of numbers is the greatest common divisor

So, the GCD (380, 734, 894, 942) = 2.

Given numbers are 380, 734, 894, 942

The list of prime factors of all numbers are

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 734 are 2 x 367

Prime factors of 894 are 2 x 3 x 149

Prime factors of 942 are 2 x 3 x 157

The highest common occurrence is 2¹

Therefore, GCD of 380, 734, 894, 942 is 2.

Given numbers are 380, 734, 894, 942

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

Apply this formula for all numbers.

Step1:

LCM(380, 734) = 139460

GCD(380, 734) = ( 380 x 734 ) / 139460

= 380 / 734

= 380

Step2:

LCM(2, 894) = 894

GCD(2, 894) = ( 2 x 894 ) / 894

= 2 / 894

= 2

Step3:

LCM(2, 942) = 942

GCD(2, 942) = ( 2 x 942 ) / 942

= 2 / 942

= 2

So, Greatest Common Divisor of 380, 734, 894, 942 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 768, 672, 748, 725
• GCD of 389, 941, 314, 562
• GCD of 891, 777, 317, 866
• GCD of 413, 371, 123, 896
• GCD of 575, 314, 535, 339

Given numbers are 380, 734, 894, 942
The greatest common divisor of numbers 380, 734, 894, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 734, 894, 942 is 2.

1. What is the GCD of 380, 734, 894, 942?

GCD of given numbers 380, 734, 894, 942 is 2

2. How to calculate the greatest common divisor of 380, 734, 894, 942?

We can find the highest common divisor of 380, 734, 894, 942 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 380, 734, 894, 942 i.e 2.

3. How can I use the GCD of 380, 734, 894, 942Calculator?

Out the numbers 380, 734, 894, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.