GCD of 496, 138, 853, 731 Calculator

Given Input numbers are 496, 138, 853, 731

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 853 :

The positive integer divisors of 853 that completely divides 853 are.

1, 853

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

GCD of numbers is the greatest common divisor

So, the GCD (496, 138, 853, 731) = 1.

Given numbers are 496, 138, 853, 731

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 853 are 853

Prime factors of 731 are 17 x 43

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 496, 138, 853, 731

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, 853) = 1706

GCD(2, 853) = ( 2 x 853 ) / 1706

= 2 / 853

= 2

Step3:

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

= 1 / 731

= 1

So, Greatest Common Divisor of 496, 138, 853, 731 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 979, 836, 639
• GCD of 840, 390, 728, 853
• GCD of 527, 187, 687, 305
• GCD of 470, 888, 549, 549
• GCD of 463, 530, 552, 547

Given numbers are 496, 138, 853, 731
The greatest common divisor of numbers 496, 138, 853, 731 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 138, 853, 731 is 1.

1. What is the GCD of 496, 138, 853, 731?

GCD of given numbers 496, 138, 853, 731 is 1

2. How to calculate the greatest common divisor of 496, 138, 853, 731?

We can find the highest common divisor of 496, 138, 853, 731 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, 853, 731 i.e 1.

3. How can I use the GCD of 496, 138, 853, 731Calculator?

Out the numbers 496, 138, 853, 731 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.