GCD of 416, 949, 789, 676 Calculator

Given Input numbers are 416, 949, 789, 676

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

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (416, 949, 789, 676) = 1.

Given numbers are 416, 949, 789, 676

The list of prime factors of all numbers are

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 949 are 13 x 73

Prime factors of 789 are 3 x 263

Prime factors of 676 are 2 x 2 x 13 x 13

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

Given numbers are 416, 949, 789, 676

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

Apply this formula for all numbers.

Step1:

LCM(416, 949) = 30368

GCD(416, 949) = ( 416 x 949 ) / 30368

= 416 / 949

= 416

Step2:

LCM(13, 789) = 10257

GCD(13, 789) = ( 13 x 789 ) / 10257

= 13 / 789

= 13

Step3:

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

= 1 / 676

= 1

So, Greatest Common Divisor of 416, 949, 789, 676 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 236, 828, 822, 155
• GCD of 626, 881, 131, 811
• GCD of 888, 142, 139, 941
• GCD of 382, 722, 508, 787
• GCD of 307, 381, 967, 835

Given numbers are 416, 949, 789, 676
The greatest common divisor of numbers 416, 949, 789, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 416, 949, 789, 676 is 1.

1. What is the GCD of 416, 949, 789, 676?

GCD of given numbers 416, 949, 789, 676 is 1

2. How to calculate the greatest common divisor of 416, 949, 789, 676?

We can find the highest common divisor of 416, 949, 789, 676 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 416, 949, 789, 676 i.e 1.

3. How can I use the GCD of 416, 949, 789, 676Calculator?

Out the numbers 416, 949, 789, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.