GCD of 742, 500, 38, 946 Calculator

Given Input numbers are 742, 500, 38, 946

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 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38

Divisors of 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946

GCD of numbers is the greatest common divisor

So, the GCD (742, 500, 38, 946) = 2.

Given numbers are 742, 500, 38, 946

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 38 are 2 x 19

Prime factors of 946 are 2 x 11 x 43

The highest common occurrence is 2¹

Therefore, GCD of 742, 500, 38, 946 is 2.

Given numbers are 742, 500, 38, 946

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

Apply this formula for all numbers.

Step1:

LCM(742, 500) = 185500

GCD(742, 500) = ( 742 x 500 ) / 185500

= 742 / 500

= 742

Step2:

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

= 2 / 38

= 2

Step3:

LCM(2, 946) = 946

GCD(2, 946) = ( 2 x 946 ) / 946

= 2 / 946

= 2

So, Greatest Common Divisor of 742, 500, 38, 946 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 742, 902, 11, 217
• GCD of 416, 382, 64, 811
• GCD of 880, 508, 18, 303
• GCD of 160, 228, 13, 614
• GCD of 251, 598, 81, 305

Given numbers are 742, 500, 38, 946
The greatest common divisor of numbers 742, 500, 38, 946 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 500, 38, 946 is 2.

1. What is the GCD of 742, 500, 38, 946?

GCD of given numbers 742, 500, 38, 946 is 2

2. How to calculate the greatest common divisor of 742, 500, 38, 946?

We can find the highest common divisor of 742, 500, 38, 946 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, 500, 38, 946 i.e 2.

3. How can I use the GCD of 742, 500, 38, 946Calculator?

Out the numbers 742, 500, 38, 946 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.