GCD of 642, 300, 638, 248 Calculator

Given Input numbers are 642, 300, 638, 248

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

Divisors of 642 :

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

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

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 638 :

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

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

Divisors of 248 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (642, 300, 638, 248) = 2.

Given numbers are 642, 300, 638, 248

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 638 are 2 x 11 x 29

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

The highest common occurrence is 2¹

Therefore, GCD of 642, 300, 638, 248 is 2.

Given numbers are 642, 300, 638, 248

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

Apply this formula for all numbers.

Step1:

LCM(642, 300) = 32100

GCD(642, 300) = ( 642 x 300 ) / 32100

= 642 / 300

= 642

Step2:

LCM(6, 638) = 1914

GCD(6, 638) = ( 6 x 638 ) / 1914

= 6 / 638

= 6

Step3:

LCM(2, 248) = 248

GCD(2, 248) = ( 2 x 248 ) / 248

= 2 / 248

= 2

So, Greatest Common Divisor of 642, 300, 638, 248 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 160, 716, 885, 689
• GCD of 110, 649, 452, 862
• GCD of 552, 809, 446, 645
• GCD of 754, 494, 914, 447
• GCD of 894, 125, 263, 777

Given numbers are 642, 300, 638, 248
The greatest common divisor of numbers 642, 300, 638, 248 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 300, 638, 248 is 2.

1. What is the GCD of 642, 300, 638, 248?

GCD of given numbers 642, 300, 638, 248 is 2

2. How to calculate the greatest common divisor of 642, 300, 638, 248?

We can find the highest common divisor of 642, 300, 638, 248 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 642, 300, 638, 248 i.e 2.

3. How can I use the GCD of 642, 300, 638, 248Calculator?

Out the numbers 642, 300, 638, 248 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.