GCD of 658, 520, 42, 282 Calculator

Given Input numbers are 658, 520, 42, 282

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

Divisors of 658 :

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

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

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 42 :

The positive integer divisors of 42 that completely divides 42 are.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

GCD of numbers is the greatest common divisor

So, the GCD (658, 520, 42, 282) = 2.

Given numbers are 658, 520, 42, 282

The list of prime factors of all numbers are

Prime factors of 658 are 2 x 7 x 47

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 42 are 2 x 3 x 7

Prime factors of 282 are 2 x 3 x 47

The highest common occurrence is 2¹

Therefore, GCD of 658, 520, 42, 282 is 2.

Given numbers are 658, 520, 42, 282

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

Apply this formula for all numbers.

Step1:

LCM(658, 520) = 171080

GCD(658, 520) = ( 658 x 520 ) / 171080

= 658 / 520

= 658

Step2:

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

= 2 / 42

= 2

Step3:

LCM(2, 282) = 282

GCD(2, 282) = ( 2 x 282 ) / 282

= 2 / 282

= 2

So, Greatest Common Divisor of 658, 520, 42, 282 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 991, 539, 60, 462
• GCD of 522, 781, 53, 604
• GCD of 289, 259, 93, 128
• GCD of 569, 815, 17, 953
• GCD of 744, 954, 23, 896

Given numbers are 658, 520, 42, 282
The greatest common divisor of numbers 658, 520, 42, 282 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 658, 520, 42, 282 is 2.

1. What is the GCD of 658, 520, 42, 282?

GCD of given numbers 658, 520, 42, 282 is 2

2. How to calculate the greatest common divisor of 658, 520, 42, 282?

We can find the highest common divisor of 658, 520, 42, 282 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 658, 520, 42, 282 i.e 2.

3. How can I use the GCD of 658, 520, 42, 282Calculator?

Out the numbers 658, 520, 42, 282 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.