GCD of 398, 210, 146, 742 Calculator

Given Input numbers are 398, 210, 146, 742

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

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

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 (398, 210, 146, 742) = 2.

Given numbers are 398, 210, 146, 742

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 146 are 2 x 73

Prime factors of 742 are 2 x 7 x 53

The highest common occurrence is 2¹

Therefore, GCD of 398, 210, 146, 742 is 2.

Given numbers are 398, 210, 146, 742

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

Apply this formula for all numbers.

Step1:

LCM(398, 210) = 41790

GCD(398, 210) = ( 398 x 210 ) / 41790

= 398 / 210

= 398

Step2:

LCM(2, 146) = 146

GCD(2, 146) = ( 2 x 146 ) / 146

= 2 / 146

= 2

Step3:

LCM(2, 742) = 742

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

= 2 / 742

= 2

So, Greatest Common Divisor of 398, 210, 146, 742 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 635, 959, 406, 345
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Given numbers are 398, 210, 146, 742
The greatest common divisor of numbers 398, 210, 146, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 210, 146, 742 is 2.

1. What is the GCD of 398, 210, 146, 742?

GCD of given numbers 398, 210, 146, 742 is 2

2. How to calculate the greatest common divisor of 398, 210, 146, 742?

We can find the highest common divisor of 398, 210, 146, 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 398, 210, 146, 742 i.e 2.

3. How can I use the GCD of 398, 210, 146, 742Calculator?

Out the numbers 398, 210, 146, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.