GCD of 138, 506, 219, 703 Calculator

Given Input numbers are 138, 506, 219, 703

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 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 219 :

The positive integer divisors of 219 that completely divides 219 are.

1, 3, 73, 219

Divisors of 703 :

The positive integer divisors of 703 that completely divides 703 are.

1, 19, 37, 703

GCD of numbers is the greatest common divisor

So, the GCD (138, 506, 219, 703) = 1.

Given numbers are 138, 506, 219, 703

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 506 are 2 x 11 x 23

Prime factors of 219 are 3 x 73

Prime factors of 703 are 19 x 37

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

Given numbers are 138, 506, 219, 703

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

Apply this formula for all numbers.

Step1:

LCM(138, 506) = 1518

GCD(138, 506) = ( 138 x 506 ) / 1518

= 138 / 506

= 138

Step2:

LCM(46, 219) = 10074

GCD(46, 219) = ( 46 x 219 ) / 10074

= 46 / 219

= 46

Step3:

LCM(1, 703) = 703

GCD(1, 703) = ( 1 x 703 ) / 703

= 1 / 703

= 1

So, Greatest Common Divisor of 138, 506, 219, 703 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 552, 726, 853, 529
• GCD of 328, 989, 502, 261
• GCD of 753, 625, 215, 119
• GCD of 155, 511, 776, 491
• GCD of 385, 723, 343, 403

Given numbers are 138, 506, 219, 703
The greatest common divisor of numbers 138, 506, 219, 703 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 506, 219, 703 is 1.

1. What is the GCD of 138, 506, 219, 703?

GCD of given numbers 138, 506, 219, 703 is 1

2. How to calculate the greatest common divisor of 138, 506, 219, 703?

We can find the highest common divisor of 138, 506, 219, 703 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, 506, 219, 703 i.e 1.

3. How can I use the GCD of 138, 506, 219, 703Calculator?

Out the numbers 138, 506, 219, 703 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.