GCD of 114, 218, 340, 358 Calculator

Given Input numbers are 114, 218, 340, 358

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

Divisors of 114 :

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

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

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

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

Divisors of 358 :

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

1, 2, 179, 358

GCD of numbers is the greatest common divisor

So, the GCD (114, 218, 340, 358) = 2.

Given numbers are 114, 218, 340, 358

The list of prime factors of all numbers are

Prime factors of 114 are 2 x 3 x 19

Prime factors of 218 are 2 x 109

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

Prime factors of 358 are 2 x 179

The highest common occurrence is 2¹

Therefore, GCD of 114, 218, 340, 358 is 2.

Given numbers are 114, 218, 340, 358

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

Apply this formula for all numbers.

Step1:

LCM(114, 218) = 12426

GCD(114, 218) = ( 114 x 218 ) / 12426

= 114 / 218

= 114

Step2:

LCM(2, 340) = 340

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

= 2 / 340

= 2

Step3:

LCM(2, 358) = 358

GCD(2, 358) = ( 2 x 358 ) / 358

= 2 / 358

= 2

So, Greatest Common Divisor of 114, 218, 340, 358 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 900, 346, 380, 853
• GCD of 718, 485, 490, 635
• GCD of 862, 432, 756, 705
• GCD of 609, 339, 337, 139
• GCD of 630, 608, 830, 724

Given numbers are 114, 218, 340, 358
The greatest common divisor of numbers 114, 218, 340, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 218, 340, 358 is 2.

1. What is the GCD of 114, 218, 340, 358?

GCD of given numbers 114, 218, 340, 358 is 2

2. How to calculate the greatest common divisor of 114, 218, 340, 358?

We can find the highest common divisor of 114, 218, 340, 358 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 114, 218, 340, 358 i.e 2.

3. How can I use the GCD of 114, 218, 340, 358Calculator?

Out the numbers 114, 218, 340, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.