GCD of 434, 638, 610, 658 Calculator

Given Input numbers are 434, 638, 610, 658

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

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 610 :

The positive integer divisors of 610 that completely divides 610 are.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 658 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (434, 638, 610, 658) = 2.

Given numbers are 434, 638, 610, 658

The list of prime factors of all numbers are

Prime factors of 434 are 2 x 7 x 31

Prime factors of 638 are 2 x 11 x 29

Prime factors of 610 are 2 x 5 x 61

Prime factors of 658 are 2 x 7 x 47

The highest common occurrence is 2¹

Therefore, GCD of 434, 638, 610, 658 is 2.

Given numbers are 434, 638, 610, 658

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

Apply this formula for all numbers.

Step1:

LCM(434, 638) = 138446

GCD(434, 638) = ( 434 x 638 ) / 138446

= 434 / 638

= 434

Step2:

LCM(2, 610) = 610

GCD(2, 610) = ( 2 x 610 ) / 610

= 2 / 610

= 2

Step3:

LCM(2, 658) = 658

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

= 2 / 658

= 2

So, Greatest Common Divisor of 434, 638, 610, 658 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 873, 180, 446, 684
• GCD of 105, 806, 299, 392
• GCD of 471, 532, 425, 673
• GCD of 227, 390, 104, 316
• GCD of 308, 273, 114, 535

Given numbers are 434, 638, 610, 658
The greatest common divisor of numbers 434, 638, 610, 658 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 434, 638, 610, 658 is 2.

1. What is the GCD of 434, 638, 610, 658?

GCD of given numbers 434, 638, 610, 658 is 2

2. How to calculate the greatest common divisor of 434, 638, 610, 658?

We can find the highest common divisor of 434, 638, 610, 658 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 434, 638, 610, 658 i.e 2.

3. How can I use the GCD of 434, 638, 610, 658Calculator?

Out the numbers 434, 638, 610, 658 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.