GCD of 196, 784, 301 Calculator

Given Input numbers are 196, 784, 301

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 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 301 :

The positive integer divisors of 301 that completely divides 301 are.

1, 7, 43, 301

GCD of numbers is the greatest common divisor

So, the GCD (196, 784, 301) = 7.

Given numbers are 196, 784, 301

The list of prime factors of all numbers are

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

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

Prime factors of 301 are 7 x 43

The highest common occurrence is 7¹

Therefore, GCD of 196, 784, 301 is 7.

Given numbers are 196, 784, 301

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

Apply this formula for all numbers.

Step1:

LCM(196, 784) = 784

GCD(196, 784) = ( 196 x 784 ) / 784

= 196 / 784

= 196

Step2:

LCM(196, 301) = 8428

GCD(196, 301) = ( 196 x 301 ) / 8428

= 196 / 301

= 196

So, Greatest Common Divisor of 196, 784, 301 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 678, 806, 365
• GCD of 213, 669, 442
• GCD of 102, 443, 966
• GCD of 807, 110, 506
• GCD of 545, 940, 285

Given numbers are 196, 784, 301
The greatest common divisor of numbers 196, 784, 301 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 784, 301 is 7.

1. What is the GCD of 196, 784, 301?

GCD of given numbers 196, 784, 301 is 7

2. How to calculate the greatest common divisor of 196, 784, 301?

We can find the highest common divisor of 196, 784, 301 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, 784, 301 i.e 7.

3. How can I use the GCD of 196, 784, 301Calculator?

Out the numbers 196, 784, 301 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.