GCD of 138, 537, 740, 917 Calculator

Given Input numbers are 138, 537, 740, 917

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 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

GCD of numbers is the greatest common divisor

So, the GCD (138, 537, 740, 917) = 1.

Given numbers are 138, 537, 740, 917

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 537 are 3 x 179

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 917 are 7 x 131

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

Given numbers are 138, 537, 740, 917

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

Apply this formula for all numbers.

Step1:

LCM(138, 537) = 24702

GCD(138, 537) = ( 138 x 537 ) / 24702

= 138 / 537

= 138

Step2:

LCM(3, 740) = 2220

GCD(3, 740) = ( 3 x 740 ) / 2220

= 3 / 740

= 3

Step3:

LCM(1, 917) = 917

GCD(1, 917) = ( 1 x 917 ) / 917

= 1 / 917

= 1

So, Greatest Common Divisor of 138, 537, 740, 917 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 431, 629, 496, 937
• GCD of 115, 390, 955, 578
• GCD of 692, 741, 855, 389
• GCD of 139, 365, 309, 558
• GCD of 228, 511, 234, 906

Given numbers are 138, 537, 740, 917
The greatest common divisor of numbers 138, 537, 740, 917 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 537, 740, 917 is 1.

1. What is the GCD of 138, 537, 740, 917?

GCD of given numbers 138, 537, 740, 917 is 1

2. How to calculate the greatest common divisor of 138, 537, 740, 917?

We can find the highest common divisor of 138, 537, 740, 917 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, 537, 740, 917 i.e 1.

3. How can I use the GCD of 138, 537, 740, 917Calculator?

Out the numbers 138, 537, 740, 917 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.