GCD of 196, 425, 784, 105 Calculator

Given Input numbers are 196, 425, 784, 105

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

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 425 :

The positive integer divisors of 425 that completely divides 425 are.

1, 5, 17, 25, 85, 425

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 105 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (196, 425, 784, 105) = 1.

Given numbers are 196, 425, 784, 105

The list of prime factors of all numbers are

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 425 are 5 x 5 x 17

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 105 are 3 x 5 x 7

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

Given numbers are 196, 425, 784, 105

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

Apply this formula for all numbers.

Step1:

LCM(196, 425) = 83300

GCD(196, 425) = ( 196 x 425 ) / 83300

= 196 / 425

= 196

Step2:

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

= 1 / 784

= 1

Step3:

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

= 1 / 105

= 1

So, Greatest Common Divisor of 196, 425, 784, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 927, 766, 944, 181
• GCD of 921, 582, 248, 961
• GCD of 455, 233, 597, 184
• GCD of 734, 891, 436, 537
• GCD of 715, 221, 758, 849

Given numbers are 196, 425, 784, 105
The greatest common divisor of numbers 196, 425, 784, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 425, 784, 105 is 1.

1. What is the GCD of 196, 425, 784, 105?

GCD of given numbers 196, 425, 784, 105 is 1

2. How to calculate the greatest common divisor of 196, 425, 784, 105?

We can find the highest common divisor of 196, 425, 784, 105 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 196, 425, 784, 105 i.e 1.

3. How can I use the GCD of 196, 425, 784, 105Calculator?

Out the numbers 196, 425, 784, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.