GCD of 580, 248, 776, 214 Calculator

Given Input numbers are 580, 248, 776, 214

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

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 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 776 :

The positive integer divisors of 776 that completely divides 776 are.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (580, 248, 776, 214) = 2.

Given numbers are 580, 248, 776, 214

The list of prime factors of all numbers are

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

Prime factors of 248 are 2 x 2 x 2 x 31

Prime factors of 776 are 2 x 2 x 2 x 97

Prime factors of 214 are 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 580, 248, 776, 214 is 2.

Given numbers are 580, 248, 776, 214

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

Apply this formula for all numbers.

Step1:

LCM(580, 248) = 35960

GCD(580, 248) = ( 580 x 248 ) / 35960

= 580 / 248

= 580

Step2:

LCM(4, 776) = 776

GCD(4, 776) = ( 4 x 776 ) / 776

= 4 / 776

= 4

Step3:

LCM(4, 214) = 428

GCD(4, 214) = ( 4 x 214 ) / 428

= 4 / 214

= 4

So, Greatest Common Divisor of 580, 248, 776, 214 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 567, 981, 190, 744
• GCD of 155, 509, 406, 560
• GCD of 121, 788, 337, 647
• GCD of 158, 877, 785, 391
• GCD of 818, 191, 734, 485

Given numbers are 580, 248, 776, 214
The greatest common divisor of numbers 580, 248, 776, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 248, 776, 214 is 2.

1. What is the GCD of 580, 248, 776, 214?

GCD of given numbers 580, 248, 776, 214 is 2

2. How to calculate the greatest common divisor of 580, 248, 776, 214?

We can find the highest common divisor of 580, 248, 776, 214 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 580, 248, 776, 214 i.e 2.

3. How can I use the GCD of 580, 248, 776, 214Calculator?

Out the numbers 580, 248, 776, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.