GCD of 288, 420, 700, 926 Calculator

Given Input numbers are 288, 420, 700, 926

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

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 926 :

The positive integer divisors of 926 that completely divides 926 are.

1, 2, 463, 926

GCD of numbers is the greatest common divisor

So, the GCD (288, 420, 700, 926) = 2.

Given numbers are 288, 420, 700, 926

The list of prime factors of all numbers are

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 926 are 2 x 463

The highest common occurrence is 2¹

Therefore, GCD of 288, 420, 700, 926 is 2.

Given numbers are 288, 420, 700, 926

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

Apply this formula for all numbers.

Step1:

LCM(288, 420) = 10080

GCD(288, 420) = ( 288 x 420 ) / 10080

= 288 / 420

= 288

Step2:

LCM(12, 700) = 2100

GCD(12, 700) = ( 12 x 700 ) / 2100

= 12 / 700

= 12

Step3:

LCM(4, 926) = 1852

GCD(4, 926) = ( 4 x 926 ) / 1852

= 4 / 926

= 4

So, Greatest Common Divisor of 288, 420, 700, 926 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 902, 276, 726, 854
• GCD of 332, 284, 992, 951
• GCD of 217, 840, 810, 242
• GCD of 549, 139, 220, 819
• GCD of 870, 660, 406, 256

Given numbers are 288, 420, 700, 926
The greatest common divisor of numbers 288, 420, 700, 926 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 420, 700, 926 is 2.

1. What is the GCD of 288, 420, 700, 926?

GCD of given numbers 288, 420, 700, 926 is 2

2. How to calculate the greatest common divisor of 288, 420, 700, 926?

We can find the highest common divisor of 288, 420, 700, 926 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 288, 420, 700, 926 i.e 2.

3. How can I use the GCD of 288, 420, 700, 926Calculator?

Out the numbers 288, 420, 700, 926 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.