GCD of 642, 460, 378, 725 Calculator

Given Input numbers are 642, 460, 378, 725

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 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

GCD of numbers is the greatest common divisor

So, the GCD (642, 460, 378, 725) = 1.

Given numbers are 642, 460, 378, 725

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 725 are 5 x 5 x 29

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 642, 460, 378, 725

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

Apply this formula for all numbers.

Step1:

LCM(642, 460) = 147660

GCD(642, 460) = ( 642 x 460 ) / 147660

= 642 / 460

= 642

Step2:

LCM(2, 378) = 378

GCD(2, 378) = ( 2 x 378 ) / 378

= 2 / 378

= 2

Step3:

LCM(2, 725) = 1450

GCD(2, 725) = ( 2 x 725 ) / 1450

= 2 / 725

= 2

So, Greatest Common Divisor of 642, 460, 378, 725 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 104, 571, 192, 230
• GCD of 303, 828, 347, 279
• GCD of 497, 583, 295, 490
• GCD of 667, 560, 286, 428
• GCD of 552, 997, 876, 177

Given numbers are 642, 460, 378, 725
The greatest common divisor of numbers 642, 460, 378, 725 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 460, 378, 725 is 1.

1. What is the GCD of 642, 460, 378, 725?

GCD of given numbers 642, 460, 378, 725 is 1

2. How to calculate the greatest common divisor of 642, 460, 378, 725?

We can find the highest common divisor of 642, 460, 378, 725 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, 460, 378, 725 i.e 1.

3. How can I use the GCD of 642, 460, 378, 725Calculator?

Out the numbers 642, 460, 378, 725 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.