GCD of 488, 900, 724, 862 Calculator

Given Input numbers are 488, 900, 724, 862

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

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

GCD of numbers is the greatest common divisor

So, the GCD (488, 900, 724, 862) = 2.

Given numbers are 488, 900, 724, 862

The list of prime factors of all numbers are

Prime factors of 488 are 2 x 2 x 2 x 61

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

Prime factors of 724 are 2 x 2 x 181

Prime factors of 862 are 2 x 431

The highest common occurrence is 2¹

Therefore, GCD of 488, 900, 724, 862 is 2.

Given numbers are 488, 900, 724, 862

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

Apply this formula for all numbers.

Step1:

LCM(488, 900) = 109800

GCD(488, 900) = ( 488 x 900 ) / 109800

= 488 / 900

= 488

Step2:

LCM(4, 724) = 724

GCD(4, 724) = ( 4 x 724 ) / 724

= 4 / 724

= 4

Step3:

LCM(4, 862) = 1724

GCD(4, 862) = ( 4 x 862 ) / 1724

= 4 / 862

= 4

So, Greatest Common Divisor of 488, 900, 724, 862 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 638, 926, 518, 962
• GCD of 175, 504, 837, 197
• GCD of 329, 633, 382, 390
• GCD of 217, 690, 343, 441
• GCD of 602, 614, 852, 117

Given numbers are 488, 900, 724, 862
The greatest common divisor of numbers 488, 900, 724, 862 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 900, 724, 862 is 2.

1. What is the GCD of 488, 900, 724, 862?

GCD of given numbers 488, 900, 724, 862 is 2

2. How to calculate the greatest common divisor of 488, 900, 724, 862?

We can find the highest common divisor of 488, 900, 724, 862 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 488, 900, 724, 862 i.e 2.

3. How can I use the GCD of 488, 900, 724, 862Calculator?

Out the numbers 488, 900, 724, 862 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.