GCD of 438, 958, 780, 410 Calculator

Given Input numbers are 438, 958, 780, 410

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 410 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (438, 958, 780, 410) = 2.

Given numbers are 438, 958, 780, 410

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 958 are 2 x 479

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 410 are 2 x 5 x 41

The highest common occurrence is 2¹

Therefore, GCD of 438, 958, 780, 410 is 2.

Given numbers are 438, 958, 780, 410

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

Apply this formula for all numbers.

Step1:

LCM(438, 958) = 209802

GCD(438, 958) = ( 438 x 958 ) / 209802

= 438 / 958

= 438

Step2:

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

= 2 / 780

= 2

Step3:

LCM(2, 410) = 410

GCD(2, 410) = ( 2 x 410 ) / 410

= 2 / 410

= 2

So, Greatest Common Divisor of 438, 958, 780, 410 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 691, 798, 151, 166
• GCD of 371, 515, 149, 681
• GCD of 522, 772, 189, 470
• GCD of 909, 835, 383, 427
• GCD of 534, 627, 839, 565

Given numbers are 438, 958, 780, 410
The greatest common divisor of numbers 438, 958, 780, 410 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 958, 780, 410 is 2.

1. What is the GCD of 438, 958, 780, 410?

GCD of given numbers 438, 958, 780, 410 is 2

2. How to calculate the greatest common divisor of 438, 958, 780, 410?

We can find the highest common divisor of 438, 958, 780, 410 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 438, 958, 780, 410 i.e 2.

3. How can I use the GCD of 438, 958, 780, 410Calculator?

Out the numbers 438, 958, 780, 410 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.