GCD of 344, 760, 496, 642 Calculator

Given Input numbers are 344, 760, 496, 642

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

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

GCD of numbers is the greatest common divisor

So, the GCD (344, 760, 496, 642) = 2.

Given numbers are 344, 760, 496, 642

The list of prime factors of all numbers are

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 642 are 2 x 3 x 107

The highest common occurrence is 2¹

Therefore, GCD of 344, 760, 496, 642 is 2.

Given numbers are 344, 760, 496, 642

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

Apply this formula for all numbers.

Step1:

LCM(344, 760) = 32680

GCD(344, 760) = ( 344 x 760 ) / 32680

= 344 / 760

= 344

Step2:

LCM(8, 496) = 496

GCD(8, 496) = ( 8 x 496 ) / 496

= 8 / 496

= 8

Step3:

LCM(8, 642) = 2568

GCD(8, 642) = ( 8 x 642 ) / 2568

= 8 / 642

= 8

So, Greatest Common Divisor of 344, 760, 496, 642 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 645, 463, 871, 769
• GCD of 135, 896, 808, 224
• GCD of 815, 567, 246, 626
• GCD of 664, 234, 422, 791
• GCD of 762, 681, 607, 886

Given numbers are 344, 760, 496, 642
The greatest common divisor of numbers 344, 760, 496, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 760, 496, 642 is 2.

1. What is the GCD of 344, 760, 496, 642?

GCD of given numbers 344, 760, 496, 642 is 2

2. How to calculate the greatest common divisor of 344, 760, 496, 642?

We can find the highest common divisor of 344, 760, 496, 642 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 344, 760, 496, 642 i.e 2.

3. How can I use the GCD of 344, 760, 496, 642Calculator?

Out the numbers 344, 760, 496, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.