GCD of 838, 598, 940, 742 Calculator

Given Input numbers are 838, 598, 940, 742

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

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

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 (838, 598, 940, 742) = 2.

Given numbers are 838, 598, 940, 742

The list of prime factors of all numbers are

Prime factors of 838 are 2 x 419

Prime factors of 598 are 2 x 13 x 23

Prime factors of 940 are 2 x 2 x 5 x 47

Prime factors of 742 are 2 x 7 x 53

The highest common occurrence is 2¹

Therefore, GCD of 838, 598, 940, 742 is 2.

Given numbers are 838, 598, 940, 742

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

Apply this formula for all numbers.

Step1:

LCM(838, 598) = 250562

GCD(838, 598) = ( 838 x 598 ) / 250562

= 838 / 598

= 838

Step2:

LCM(2, 940) = 940

GCD(2, 940) = ( 2 x 940 ) / 940

= 2 / 940

= 2

Step3:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2

So, Greatest Common Divisor of 838, 598, 940, 742 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 297, 956, 760, 991
• GCD of 641, 324, 523, 477
• GCD of 507, 982, 155, 163
• GCD of 657, 598, 197, 333
• GCD of 427, 322, 167, 963

Given numbers are 838, 598, 940, 742
The greatest common divisor of numbers 838, 598, 940, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 598, 940, 742 is 2.

1. What is the GCD of 838, 598, 940, 742?

GCD of given numbers 838, 598, 940, 742 is 2

2. How to calculate the greatest common divisor of 838, 598, 940, 742?

We can find the highest common divisor of 838, 598, 940, 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 838, 598, 940, 742 i.e 2.

3. How can I use the GCD of 838, 598, 940, 742Calculator?

Out the numbers 838, 598, 940, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.