GCD of 378, 580, 860, 416 Calculator

Given Input numbers are 378, 580, 860, 416

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 860 :

The positive integer divisors of 860 that completely divides 860 are.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

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

GCD of numbers is the greatest common divisor

So, the GCD (378, 580, 860, 416) = 2.

Given numbers are 378, 580, 860, 416

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 860 are 2 x 2 x 5 x 43

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

The highest common occurrence is 2¹

Therefore, GCD of 378, 580, 860, 416 is 2.

Given numbers are 378, 580, 860, 416

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

Apply this formula for all numbers.

Step1:

LCM(378, 580) = 109620

GCD(378, 580) = ( 378 x 580 ) / 109620

= 378 / 580

= 378

Step2:

LCM(2, 860) = 860

GCD(2, 860) = ( 2 x 860 ) / 860

= 2 / 860

= 2

Step3:

LCM(2, 416) = 416

GCD(2, 416) = ( 2 x 416 ) / 416

= 2 / 416

= 2

So, Greatest Common Divisor of 378, 580, 860, 416 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 144, 466, 276, 961
• GCD of 535, 210, 689, 917
• GCD of 430, 121, 545, 190
• GCD of 395, 679, 472, 373
• GCD of 426, 874, 397, 759

Given numbers are 378, 580, 860, 416
The greatest common divisor of numbers 378, 580, 860, 416 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 580, 860, 416 is 2.

1. What is the GCD of 378, 580, 860, 416?

GCD of given numbers 378, 580, 860, 416 is 2

2. How to calculate the greatest common divisor of 378, 580, 860, 416?

We can find the highest common divisor of 378, 580, 860, 416 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 378, 580, 860, 416 i.e 2.

3. How can I use the GCD of 378, 580, 860, 416Calculator?

Out the numbers 378, 580, 860, 416 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.