GCD of 678, 420, 416, 240 Calculator

Given Input numbers are 678, 420, 416, 240

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

Divisors of 678 :

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

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

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

GCD of numbers is the greatest common divisor

So, the GCD (678, 420, 416, 240) = 2.

Given numbers are 678, 420, 416, 240

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 678, 420, 416, 240 is 2.

Given numbers are 678, 420, 416, 240

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

Apply this formula for all numbers.

Step1:

LCM(678, 420) = 47460

GCD(678, 420) = ( 678 x 420 ) / 47460

= 678 / 420

= 678

Step2:

LCM(6, 416) = 1248

GCD(6, 416) = ( 6 x 416 ) / 1248

= 6 / 416

= 6

Step3:

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

= 2 / 240

= 2

So, Greatest Common Divisor of 678, 420, 416, 240 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 607, 535, 945, 931
• GCD of 564, 985, 444, 716
• GCD of 545, 718, 334, 334
• GCD of 264, 451, 477, 281
• GCD of 790, 485, 358, 505

Given numbers are 678, 420, 416, 240
The greatest common divisor of numbers 678, 420, 416, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 420, 416, 240 is 2.

1. What is the GCD of 678, 420, 416, 240?

GCD of given numbers 678, 420, 416, 240 is 2

2. How to calculate the greatest common divisor of 678, 420, 416, 240?

We can find the highest common divisor of 678, 420, 416, 240 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 678, 420, 416, 240 i.e 2.

3. How can I use the GCD of 678, 420, 416, 240Calculator?

Out the numbers 678, 420, 416, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.