GCD of 496, 138, 882, 992 Calculator

Given Input numbers are 496, 138, 882, 992

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

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 138 :

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

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

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 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

GCD of numbers is the greatest common divisor

So, the GCD (496, 138, 882, 992) = 2.

Given numbers are 496, 138, 882, 992

The list of prime factors of all numbers are

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 138 are 2 x 3 x 23

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

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

The highest common occurrence is 2¹

Therefore, GCD of 496, 138, 882, 992 is 2.

Given numbers are 496, 138, 882, 992

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

Apply this formula for all numbers.

Step1:

LCM(496, 138) = 34224

GCD(496, 138) = ( 496 x 138 ) / 34224

= 496 / 138

= 496

Step2:

LCM(2, 882) = 882

GCD(2, 882) = ( 2 x 882 ) / 882

= 2 / 882

= 2

Step3:

LCM(2, 992) = 992

GCD(2, 992) = ( 2 x 992 ) / 992

= 2 / 992

= 2

So, Greatest Common Divisor of 496, 138, 882, 992 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 887, 684, 120, 772
• GCD of 253, 933, 336, 895
• GCD of 546, 968, 205, 512
• GCD of 839, 773, 478, 198
• GCD of 492, 881, 909, 746

Given numbers are 496, 138, 882, 992
The greatest common divisor of numbers 496, 138, 882, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 138, 882, 992 is 2.

1. What is the GCD of 496, 138, 882, 992?

GCD of given numbers 496, 138, 882, 992 is 2

2. How to calculate the greatest common divisor of 496, 138, 882, 992?

We can find the highest common divisor of 496, 138, 882, 992 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 496, 138, 882, 992 i.e 2.

3. How can I use the GCD of 496, 138, 882, 992Calculator?

Out the numbers 496, 138, 882, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.