GCD of 876, 298, 42, 450 Calculator

Given Input numbers are 876, 298, 42, 450

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

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 42 :

The positive integer divisors of 42 that completely divides 42 are.

1, 2, 3, 6, 7, 14, 21, 42

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

GCD of numbers is the greatest common divisor

So, the GCD (876, 298, 42, 450) = 2.

Given numbers are 876, 298, 42, 450

The list of prime factors of all numbers are

Prime factors of 876 are 2 x 2 x 3 x 73

Prime factors of 298 are 2 x 149

Prime factors of 42 are 2 x 3 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 876, 298, 42, 450 is 2.

Given numbers are 876, 298, 42, 450

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

Apply this formula for all numbers.

Step1:

LCM(876, 298) = 130524

GCD(876, 298) = ( 876 x 298 ) / 130524

= 876 / 298

= 876

Step2:

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

= 2 / 42

= 2

Step3:

LCM(2, 450) = 450

GCD(2, 450) = ( 2 x 450 ) / 450

= 2 / 450

= 2

So, Greatest Common Divisor of 876, 298, 42, 450 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 510, 899, 73, 329
• GCD of 315, 667, 66, 799
• GCD of 951, 516, 32, 264
• GCD of 499, 307, 10, 149
• GCD of 251, 299, 60, 333

Given numbers are 876, 298, 42, 450
The greatest common divisor of numbers 876, 298, 42, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 876, 298, 42, 450 is 2.

1. What is the GCD of 876, 298, 42, 450?

GCD of given numbers 876, 298, 42, 450 is 2

2. How to calculate the greatest common divisor of 876, 298, 42, 450?

We can find the highest common divisor of 876, 298, 42, 450 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 876, 298, 42, 450 i.e 2.

3. How can I use the GCD of 876, 298, 42, 450Calculator?

Out the numbers 876, 298, 42, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.