GCD of 422, 758, 838, 746 Calculator

Given Input numbers are 422, 758, 838, 746

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

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

Divisors of 838 :

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

1, 2, 419, 838

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

GCD of numbers is the greatest common divisor

So, the GCD (422, 758, 838, 746) = 2.

Given numbers are 422, 758, 838, 746

The list of prime factors of all numbers are

Prime factors of 422 are 2 x 211

Prime factors of 758 are 2 x 379

Prime factors of 838 are 2 x 419

Prime factors of 746 are 2 x 373

The highest common occurrence is 2¹

Therefore, GCD of 422, 758, 838, 746 is 2.

Given numbers are 422, 758, 838, 746

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

Apply this formula for all numbers.

Step1:

LCM(422, 758) = 159938

GCD(422, 758) = ( 422 x 758 ) / 159938

= 422 / 758

= 422

Step2:

LCM(2, 838) = 838

GCD(2, 838) = ( 2 x 838 ) / 838

= 2 / 838

= 2

Step3:

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

= 2 / 746

= 2

So, Greatest Common Divisor of 422, 758, 838, 746 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 142, 198, 620, 325
• GCD of 546, 998, 269, 708
• GCD of 838, 725, 164, 788
• GCD of 513, 133, 928, 246
• GCD of 686, 135, 886, 820

Given numbers are 422, 758, 838, 746
The greatest common divisor of numbers 422, 758, 838, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 758, 838, 746 is 2.

1. What is the GCD of 422, 758, 838, 746?

GCD of given numbers 422, 758, 838, 746 is 2

2. How to calculate the greatest common divisor of 422, 758, 838, 746?

We can find the highest common divisor of 422, 758, 838, 746 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 422, 758, 838, 746 i.e 2.

3. How can I use the GCD of 422, 758, 838, 746Calculator?

Out the numbers 422, 758, 838, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.