GCD of 138, 114, 358, 340 Calculator

Given Input numbers are 138, 114, 358, 340

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 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

GCD of numbers is the greatest common divisor

So, the GCD (138, 114, 358, 340) = 2.

Given numbers are 138, 114, 358, 340

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 114 are 2 x 3 x 19

Prime factors of 358 are 2 x 179

Prime factors of 340 are 2 x 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 138, 114, 358, 340 is 2.

Given numbers are 138, 114, 358, 340

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

Apply this formula for all numbers.

Step1:

LCM(138, 114) = 2622

GCD(138, 114) = ( 138 x 114 ) / 2622

= 138 / 114

= 138

Step2:

LCM(6, 358) = 1074

GCD(6, 358) = ( 6 x 358 ) / 1074

= 6 / 358

= 6

Step3:

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

= 2 / 340

= 2

So, Greatest Common Divisor of 138, 114, 358, 340 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 136, 587, 593, 675
• GCD of 262, 102, 714, 891
• GCD of 386, 515, 587, 570
• GCD of 987, 596, 157, 714
• GCD of 173, 958, 351, 695

Given numbers are 138, 114, 358, 340
The greatest common divisor of numbers 138, 114, 358, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 114, 358, 340 is 2.

1. What is the GCD of 138, 114, 358, 340?

GCD of given numbers 138, 114, 358, 340 is 2

2. How to calculate the greatest common divisor of 138, 114, 358, 340?

We can find the highest common divisor of 138, 114, 358, 340 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, 114, 358, 340 i.e 2.

3. How can I use the GCD of 138, 114, 358, 340Calculator?

Out the numbers 138, 114, 358, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.