GCD of 488, 498, 138, 902 Calculator

Given Input numbers are 488, 498, 138, 902

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 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

GCD of numbers is the greatest common divisor

So, the GCD (488, 498, 138, 902) = 2.

Given numbers are 488, 498, 138, 902

The list of prime factors of all numbers are

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

Prime factors of 498 are 2 x 3 x 83

Prime factors of 138 are 2 x 3 x 23

Prime factors of 902 are 2 x 11 x 41

The highest common occurrence is 2¹

Therefore, GCD of 488, 498, 138, 902 is 2.

Given numbers are 488, 498, 138, 902

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

Apply this formula for all numbers.

Step1:

LCM(488, 498) = 121512

GCD(488, 498) = ( 488 x 498 ) / 121512

= 488 / 498

= 488

Step2:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

Step3:

LCM(2, 902) = 902

GCD(2, 902) = ( 2 x 902 ) / 902

= 2 / 902

= 2

So, Greatest Common Divisor of 488, 498, 138, 902 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 688, 218, 252, 660
• GCD of 692, 230, 526, 229
• GCD of 654, 443, 172, 373
• GCD of 777, 432, 772, 941
• GCD of 337, 521, 984, 505

Given numbers are 488, 498, 138, 902
The greatest common divisor of numbers 488, 498, 138, 902 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 498, 138, 902 is 2.

1. What is the GCD of 488, 498, 138, 902?

GCD of given numbers 488, 498, 138, 902 is 2

2. How to calculate the greatest common divisor of 488, 498, 138, 902?

We can find the highest common divisor of 488, 498, 138, 902 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, 498, 138, 902 i.e 2.

3. How can I use the GCD of 488, 498, 138, 902Calculator?

Out the numbers 488, 498, 138, 902 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.