GCD of 278, 334, 20, 122 Calculator

Given Input numbers are 278, 334, 20, 122

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

Divisors of 278 :

The positive integer divisors of 278 that completely divides 278 are.

1, 2, 139, 278

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

Divisors of 20 :

The positive integer divisors of 20 that completely divides 20 are.

1, 2, 4, 5, 10, 20

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

GCD of numbers is the greatest common divisor

So, the GCD (278, 334, 20, 122) = 2.

Given numbers are 278, 334, 20, 122

The list of prime factors of all numbers are

Prime factors of 278 are 2 x 139

Prime factors of 334 are 2 x 167

Prime factors of 20 are 2 x 2 x 5

Prime factors of 122 are 2 x 61

The highest common occurrence is 2¹

Therefore, GCD of 278, 334, 20, 122 is 2.

Given numbers are 278, 334, 20, 122

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

Apply this formula for all numbers.

Step1:

LCM(278, 334) = 46426

GCD(278, 334) = ( 278 x 334 ) / 46426

= 278 / 334

= 278

Step2:

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

= 2 / 20

= 2

Step3:

LCM(2, 122) = 122

GCD(2, 122) = ( 2 x 122 ) / 122

= 2 / 122

= 2

So, Greatest Common Divisor of 278, 334, 20, 122 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 330, 217, 49, 253
• GCD of 902, 312, 36, 723
• GCD of 200, 733, 18, 246
• GCD of 500, 862, 82, 308
• GCD of 215, 382, 51, 826

Given numbers are 278, 334, 20, 122
The greatest common divisor of numbers 278, 334, 20, 122 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 278, 334, 20, 122 is 2.

1. What is the GCD of 278, 334, 20, 122?

GCD of given numbers 278, 334, 20, 122 is 2

2. How to calculate the greatest common divisor of 278, 334, 20, 122?

We can find the highest common divisor of 278, 334, 20, 122 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 278, 334, 20, 122 i.e 2.

3. How can I use the GCD of 278, 334, 20, 122Calculator?

Out the numbers 278, 334, 20, 122 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.