GCD of 868, 684, 798, 450 Calculator

Given Input numbers are 868, 684, 798, 450

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

Divisors of 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

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 (868, 684, 798, 450) = 2.

Given numbers are 868, 684, 798, 450

The list of prime factors of all numbers are

Prime factors of 868 are 2 x 2 x 7 x 31

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 798 are 2 x 3 x 7 x 19

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

The highest common occurrence is 2¹

Therefore, GCD of 868, 684, 798, 450 is 2.

Given numbers are 868, 684, 798, 450

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

Apply this formula for all numbers.

Step1:

LCM(868, 684) = 148428

GCD(868, 684) = ( 868 x 684 ) / 148428

= 868 / 684

= 868

Step2:

LCM(4, 798) = 1596

GCD(4, 798) = ( 4 x 798 ) / 1596

= 4 / 798

= 4

Step3:

LCM(2, 450) = 450

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

= 2 / 450

= 2

So, Greatest Common Divisor of 868, 684, 798, 450 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 648, 370, 613, 731
• GCD of 324, 829, 663, 900
• GCD of 897, 295, 993, 116
• GCD of 313, 555, 795, 472
• GCD of 798, 985, 871, 123

Given numbers are 868, 684, 798, 450
The greatest common divisor of numbers 868, 684, 798, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 868, 684, 798, 450 is 2.

1. What is the GCD of 868, 684, 798, 450?

GCD of given numbers 868, 684, 798, 450 is 2

2. How to calculate the greatest common divisor of 868, 684, 798, 450?

We can find the highest common divisor of 868, 684, 798, 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 868, 684, 798, 450 i.e 2.

3. How can I use the GCD of 868, 684, 798, 450Calculator?

Out the numbers 868, 684, 798, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.