GCD of 734, 220, 144, 638 Calculator

Given Input numbers are 734, 220, 144, 638

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

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 638 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (734, 220, 144, 638) = 2.

Given numbers are 734, 220, 144, 638

The list of prime factors of all numbers are

Prime factors of 734 are 2 x 367

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 638 are 2 x 11 x 29

The highest common occurrence is 2¹

Therefore, GCD of 734, 220, 144, 638 is 2.

Given numbers are 734, 220, 144, 638

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

Apply this formula for all numbers.

Step1:

LCM(734, 220) = 80740

GCD(734, 220) = ( 734 x 220 ) / 80740

= 734 / 220

= 734

Step2:

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

= 2 / 144

= 2

Step3:

LCM(2, 638) = 638

GCD(2, 638) = ( 2 x 638 ) / 638

= 2 / 638

= 2

So, Greatest Common Divisor of 734, 220, 144, 638 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 920, 630, 311, 725
• GCD of 521, 332, 424, 783
• GCD of 368, 161, 251, 942
• GCD of 546, 206, 631, 786
• GCD of 549, 138, 793, 242

Given numbers are 734, 220, 144, 638
The greatest common divisor of numbers 734, 220, 144, 638 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 220, 144, 638 is 2.

1. What is the GCD of 734, 220, 144, 638?

GCD of given numbers 734, 220, 144, 638 is 2

2. How to calculate the greatest common divisor of 734, 220, 144, 638?

We can find the highest common divisor of 734, 220, 144, 638 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 734, 220, 144, 638 i.e 2.

3. How can I use the GCD of 734, 220, 144, 638Calculator?

Out the numbers 734, 220, 144, 638 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.