GCD of 882, 762, 450, 868 Calculator

Given Input numbers are 882, 762, 450, 868

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

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

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 868 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (882, 762, 450, 868) = 2.

Given numbers are 882, 762, 450, 868

The list of prime factors of all numbers are

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 762 are 2 x 3 x 127

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

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

The highest common occurrence is 2¹

Therefore, GCD of 882, 762, 450, 868 is 2.

Given numbers are 882, 762, 450, 868

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

Apply this formula for all numbers.

Step1:

LCM(882, 762) = 112014

GCD(882, 762) = ( 882 x 762 ) / 112014

= 882 / 762

= 882

Step2:

LCM(6, 450) = 450

GCD(6, 450) = ( 6 x 450 ) / 450

= 6 / 450

= 6

Step3:

LCM(6, 868) = 2604

GCD(6, 868) = ( 6 x 868 ) / 2604

= 6 / 868

= 6

So, Greatest Common Divisor of 882, 762, 450, 868 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 478, 917, 440, 926
• GCD of 821, 458, 746, 606
• GCD of 706, 830, 320, 986
• GCD of 432, 746, 486, 766
• GCD of 898, 280, 360, 248

Given numbers are 882, 762, 450, 868
The greatest common divisor of numbers 882, 762, 450, 868 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 762, 450, 868 is 2.

1. What is the GCD of 882, 762, 450, 868?

GCD of given numbers 882, 762, 450, 868 is 2

2. How to calculate the greatest common divisor of 882, 762, 450, 868?

We can find the highest common divisor of 882, 762, 450, 868 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 882, 762, 450, 868 i.e 2.

3. How can I use the GCD of 882, 762, 450, 868Calculator?

Out the numbers 882, 762, 450, 868 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.