GCD of 138, 514, 648, 785 Calculator

Given Input numbers are 138, 514, 648, 785

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

Divisors of 138 :

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

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

Divisors of 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 785 :

The positive integer divisors of 785 that completely divides 785 are.

1, 5, 157, 785

GCD of numbers is the greatest common divisor

So, the GCD (138, 514, 648, 785) = 1.

Given numbers are 138, 514, 648, 785

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 514 are 2 x 257

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 785 are 5 x 157

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

Given numbers are 138, 514, 648, 785

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

Apply this formula for all numbers.

Step1:

LCM(138, 514) = 35466

GCD(138, 514) = ( 138 x 514 ) / 35466

= 138 / 514

= 138

Step2:

LCM(2, 648) = 648

GCD(2, 648) = ( 2 x 648 ) / 648

= 2 / 648

= 2

Step3:

LCM(2, 785) = 1570

GCD(2, 785) = ( 2 x 785 ) / 1570

= 2 / 785

= 2

So, Greatest Common Divisor of 138, 514, 648, 785 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 470, 902, 215, 817
• GCD of 100, 900, 922, 805
• GCD of 812, 562, 512, 553
• GCD of 467, 903, 646, 755
• GCD of 926, 992, 366, 811

Given numbers are 138, 514, 648, 785
The greatest common divisor of numbers 138, 514, 648, 785 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 514, 648, 785 is 1.

1. What is the GCD of 138, 514, 648, 785?

GCD of given numbers 138, 514, 648, 785 is 1

2. How to calculate the greatest common divisor of 138, 514, 648, 785?

We can find the highest common divisor of 138, 514, 648, 785 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 138, 514, 648, 785 i.e 1.

3. How can I use the GCD of 138, 514, 648, 785Calculator?

Out the numbers 138, 514, 648, 785 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.