GCD of 492, 765, 138, 253 Calculator

Given Input numbers are 492, 765, 138, 253

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 138 :

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

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

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

GCD of numbers is the greatest common divisor

So, the GCD (492, 765, 138, 253) = 1.

Given numbers are 492, 765, 138, 253

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 138 are 2 x 3 x 23

Prime factors of 253 are 11 x 23

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

Given numbers are 492, 765, 138, 253

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

Apply this formula for all numbers.

Step1:

LCM(492, 765) = 125460

GCD(492, 765) = ( 492 x 765 ) / 125460

= 492 / 765

= 492

Step2:

LCM(3, 138) = 138

GCD(3, 138) = ( 3 x 138 ) / 138

= 3 / 138

= 3

Step3:

LCM(3, 253) = 759

GCD(3, 253) = ( 3 x 253 ) / 759

= 3 / 253

= 3

So, Greatest Common Divisor of 492, 765, 138, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 558, 359, 356, 642
• GCD of 955, 425, 181, 797
• GCD of 171, 162, 397, 430
• GCD of 269, 848, 639, 781
• GCD of 845, 928, 712, 650

Given numbers are 492, 765, 138, 253
The greatest common divisor of numbers 492, 765, 138, 253 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 765, 138, 253 is 1.

1. What is the GCD of 492, 765, 138, 253?

GCD of given numbers 492, 765, 138, 253 is 1

2. How to calculate the greatest common divisor of 492, 765, 138, 253?

We can find the highest common divisor of 492, 765, 138, 253 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 492, 765, 138, 253 i.e 1.

3. How can I use the GCD of 492, 765, 138, 253Calculator?

Out the numbers 492, 765, 138, 253 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.