GCD of 616, 678, 410, 820 Calculator

Given Input numbers are 616, 678, 410, 820

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

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 410 :

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

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

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

GCD of numbers is the greatest common divisor

So, the GCD (616, 678, 410, 820) = 2.

Given numbers are 616, 678, 410, 820

The list of prime factors of all numbers are

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 678 are 2 x 3 x 113

Prime factors of 410 are 2 x 5 x 41

Prime factors of 820 are 2 x 2 x 5 x 41

The highest common occurrence is 2¹

Therefore, GCD of 616, 678, 410, 820 is 2.

Given numbers are 616, 678, 410, 820

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

Apply this formula for all numbers.

Step1:

LCM(616, 678) = 208824

GCD(616, 678) = ( 616 x 678 ) / 208824

= 616 / 678

= 616

Step2:

LCM(2, 410) = 410

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

= 2 / 410

= 2

Step3:

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

= 2 / 820

= 2

So, Greatest Common Divisor of 616, 678, 410, 820 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 601, 913, 795, 176
• GCD of 387, 642, 154, 671
• GCD of 364, 717, 536, 805
• GCD of 267, 637, 254, 313
• GCD of 611, 742, 742, 396

Given numbers are 616, 678, 410, 820
The greatest common divisor of numbers 616, 678, 410, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 616, 678, 410, 820 is 2.

1. What is the GCD of 616, 678, 410, 820?

GCD of given numbers 616, 678, 410, 820 is 2

2. How to calculate the greatest common divisor of 616, 678, 410, 820?

We can find the highest common divisor of 616, 678, 410, 820 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 616, 678, 410, 820 i.e 2.

3. How can I use the GCD of 616, 678, 410, 820Calculator?

Out the numbers 616, 678, 410, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.