GCD of 814, 642, 114, 900 Calculator

Given Input numbers are 814, 642, 114, 900

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

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (814, 642, 114, 900) = 2.

Given numbers are 814, 642, 114, 900

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 642 are 2 x 3 x 107

Prime factors of 114 are 2 x 3 x 19

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 814, 642, 114, 900 is 2.

Given numbers are 814, 642, 114, 900

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

Apply this formula for all numbers.

Step1:

LCM(814, 642) = 261294

GCD(814, 642) = ( 814 x 642 ) / 261294

= 814 / 642

= 814

Step2:

LCM(2, 114) = 114

GCD(2, 114) = ( 2 x 114 ) / 114

= 2 / 114

= 2

Step3:

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

= 2 / 900

= 2

So, Greatest Common Divisor of 814, 642, 114, 900 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 421, 515, 945, 581
• GCD of 710, 259, 987, 765
• GCD of 852, 871, 533, 200
• GCD of 397, 924, 899, 132
• GCD of 802, 262, 922, 897

Given numbers are 814, 642, 114, 900
The greatest common divisor of numbers 814, 642, 114, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 642, 114, 900 is 2.

1. What is the GCD of 814, 642, 114, 900?

GCD of given numbers 814, 642, 114, 900 is 2

2. How to calculate the greatest common divisor of 814, 642, 114, 900?

We can find the highest common divisor of 814, 642, 114, 900 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 814, 642, 114, 900 i.e 2.

3. How can I use the GCD of 814, 642, 114, 900Calculator?

Out the numbers 814, 642, 114, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.