GCD of 642, 648, 742, 380 Calculator

Given Input numbers are 642, 648, 742, 380

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 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

GCD of numbers is the greatest common divisor

So, the GCD (642, 648, 742, 380) = 2.

Given numbers are 642, 648, 742, 380

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 742 are 2 x 7 x 53

Prime factors of 380 are 2 x 2 x 5 x 19

The highest common occurrence is 2¹

Therefore, GCD of 642, 648, 742, 380 is 2.

Given numbers are 642, 648, 742, 380

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

Apply this formula for all numbers.

Step1:

LCM(642, 648) = 69336

GCD(642, 648) = ( 642 x 648 ) / 69336

= 642 / 648

= 642

Step2:

LCM(6, 742) = 2226

GCD(6, 742) = ( 6 x 742 ) / 2226

= 6 / 742

= 6

Step3:

LCM(2, 380) = 380

GCD(2, 380) = ( 2 x 380 ) / 380

= 2 / 380

= 2

So, Greatest Common Divisor of 642, 648, 742, 380 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 482, 676, 283, 174
• GCD of 591, 864, 998, 816
• GCD of 848, 311, 163, 922
• GCD of 512, 863, 997, 655
• GCD of 524, 952, 822, 820

Given numbers are 642, 648, 742, 380
The greatest common divisor of numbers 642, 648, 742, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 648, 742, 380 is 2.

1. What is the GCD of 642, 648, 742, 380?

GCD of given numbers 642, 648, 742, 380 is 2

2. How to calculate the greatest common divisor of 642, 648, 742, 380?

We can find the highest common divisor of 642, 648, 742, 380 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, 648, 742, 380 i.e 2.

3. How can I use the GCD of 642, 648, 742, 380Calculator?

Out the numbers 642, 648, 742, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.