GCD of 580, 142, 658, 958 Calculator

Given Input numbers are 580, 142, 658, 958

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 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 958 :

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

1, 2, 479, 958

GCD of numbers is the greatest common divisor

So, the GCD (580, 142, 658, 958) = 2.

Given numbers are 580, 142, 658, 958

The list of prime factors of all numbers are

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

Prime factors of 142 are 2 x 71

Prime factors of 658 are 2 x 7 x 47

Prime factors of 958 are 2 x 479

The highest common occurrence is 2¹

Therefore, GCD of 580, 142, 658, 958 is 2.

Given numbers are 580, 142, 658, 958

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

Apply this formula for all numbers.

Step1:

LCM(580, 142) = 41180

GCD(580, 142) = ( 580 x 142 ) / 41180

= 580 / 142

= 580

Step2:

LCM(2, 658) = 658

GCD(2, 658) = ( 2 x 658 ) / 658

= 2 / 658

= 2

Step3:

LCM(2, 958) = 958

GCD(2, 958) = ( 2 x 958 ) / 958

= 2 / 958

= 2

So, Greatest Common Divisor of 580, 142, 658, 958 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 805, 672, 909, 819
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• GCD of 811, 364, 321, 584

Given numbers are 580, 142, 658, 958
The greatest common divisor of numbers 580, 142, 658, 958 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 142, 658, 958 is 2.

1. What is the GCD of 580, 142, 658, 958?

GCD of given numbers 580, 142, 658, 958 is 2

2. How to calculate the greatest common divisor of 580, 142, 658, 958?

We can find the highest common divisor of 580, 142, 658, 958 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, 142, 658, 958 i.e 2.

3. How can I use the GCD of 580, 142, 658, 958Calculator?

Out the numbers 580, 142, 658, 958 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.