GCD of 105, 245, 792, 642 Calculator

Given Input numbers are 105, 245, 792, 642

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 245 :

The positive integer divisors of 245 that completely divides 245 are.

1, 5, 7, 35, 49, 245

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

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 (105, 245, 792, 642) = 1.

Given numbers are 105, 245, 792, 642

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 245 are 5 x 7 x 7

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 642 are 2 x 3 x 107

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

Given numbers are 105, 245, 792, 642

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

Apply this formula for all numbers.

Step1:

LCM(105, 245) = 735

GCD(105, 245) = ( 105 x 245 ) / 735

= 105 / 245

= 105

Step2:

LCM(35, 792) = 27720

GCD(35, 792) = ( 35 x 792 ) / 27720

= 35 / 792

= 35

Step3:

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

= 1 / 642

= 1

So, Greatest Common Divisor of 105, 245, 792, 642 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 817, 303, 286, 544
• GCD of 645, 366, 993, 615
• GCD of 737, 156, 301, 457
• GCD of 982, 526, 973, 653
• GCD of 434, 269, 683, 586

Given numbers are 105, 245, 792, 642
The greatest common divisor of numbers 105, 245, 792, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 245, 792, 642 is 1.

1. What is the GCD of 105, 245, 792, 642?

GCD of given numbers 105, 245, 792, 642 is 1

2. How to calculate the greatest common divisor of 105, 245, 792, 642?

We can find the highest common divisor of 105, 245, 792, 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 105, 245, 792, 642 i.e 1.

3. How can I use the GCD of 105, 245, 792, 642Calculator?

Out the numbers 105, 245, 792, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.