GCD of 410, 742, 908, 358 Calculator

Given Input numbers are 410, 742, 908, 358

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

Divisors of 410 :

The positive integer divisors of 410 that completely divides 410 are.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

GCD of numbers is the greatest common divisor

So, the GCD (410, 742, 908, 358) = 2.

Given numbers are 410, 742, 908, 358

The list of prime factors of all numbers are

Prime factors of 410 are 2 x 5 x 41

Prime factors of 742 are 2 x 7 x 53

Prime factors of 908 are 2 x 2 x 227

Prime factors of 358 are 2 x 179

The highest common occurrence is 2¹

Therefore, GCD of 410, 742, 908, 358 is 2.

Given numbers are 410, 742, 908, 358

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

Apply this formula for all numbers.

Step1:

LCM(410, 742) = 152110

GCD(410, 742) = ( 410 x 742 ) / 152110

= 410 / 742

= 410

Step2:

LCM(2, 908) = 908

GCD(2, 908) = ( 2 x 908 ) / 908

= 2 / 908

= 2

Step3:

LCM(2, 358) = 358

GCD(2, 358) = ( 2 x 358 ) / 358

= 2 / 358

= 2

So, Greatest Common Divisor of 410, 742, 908, 358 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 701, 829, 404, 156
• GCD of 901, 445, 580, 189
• GCD of 346, 592, 480, 655
• GCD of 201, 405, 915, 480
• GCD of 859, 809, 969, 680

Given numbers are 410, 742, 908, 358
The greatest common divisor of numbers 410, 742, 908, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 410, 742, 908, 358 is 2.

1. What is the GCD of 410, 742, 908, 358?

GCD of given numbers 410, 742, 908, 358 is 2

2. How to calculate the greatest common divisor of 410, 742, 908, 358?

We can find the highest common divisor of 410, 742, 908, 358 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 410, 742, 908, 358 i.e 2.

3. How can I use the GCD of 410, 742, 908, 358Calculator?

Out the numbers 410, 742, 908, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.