GCD of 450, 314, 429, 676 Calculator

Given Input numbers are 450, 314, 429, 676

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

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

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 (450, 314, 429, 676) = 1.

Given numbers are 450, 314, 429, 676

The list of prime factors of all numbers are

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 314 are 2 x 157

Prime factors of 429 are 3 x 11 x 13

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 450, 314, 429, 676

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

Apply this formula for all numbers.

Step1:

LCM(450, 314) = 70650

GCD(450, 314) = ( 450 x 314 ) / 70650

= 450 / 314

= 450

Step2:

LCM(2, 429) = 858

GCD(2, 429) = ( 2 x 429 ) / 858

= 2 / 429

= 2

Step3:

LCM(1, 676) = 676

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

= 1 / 676

= 1

So, Greatest Common Divisor of 450, 314, 429, 676 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 745, 563, 194, 903
• GCD of 305, 494, 275, 983
• GCD of 289, 700, 455, 898
• GCD of 906, 682, 855, 319
• GCD of 445, 164, 208, 156

Given numbers are 450, 314, 429, 676
The greatest common divisor of numbers 450, 314, 429, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 314, 429, 676 is 1.

1. What is the GCD of 450, 314, 429, 676?

GCD of given numbers 450, 314, 429, 676 is 1

2. How to calculate the greatest common divisor of 450, 314, 429, 676?

We can find the highest common divisor of 450, 314, 429, 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 450, 314, 429, 676 i.e 1.

3. How can I use the GCD of 450, 314, 429, 676Calculator?

Out the numbers 450, 314, 429, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.