GCD of 338, 140, 278, 220 Calculator

Given Input numbers are 338, 140, 278, 220

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

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 278 :

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

1, 2, 139, 278

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

GCD of numbers is the greatest common divisor

So, the GCD (338, 140, 278, 220) = 2.

Given numbers are 338, 140, 278, 220

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 278 are 2 x 139

Prime factors of 220 are 2 x 2 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 338, 140, 278, 220 is 2.

Given numbers are 338, 140, 278, 220

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

Apply this formula for all numbers.

Step1:

LCM(338, 140) = 23660

GCD(338, 140) = ( 338 x 140 ) / 23660

= 338 / 140

= 338

Step2:

LCM(2, 278) = 278

GCD(2, 278) = ( 2 x 278 ) / 278

= 2 / 278

= 2

Step3:

LCM(2, 220) = 220

GCD(2, 220) = ( 2 x 220 ) / 220

= 2 / 220

= 2

So, Greatest Common Divisor of 338, 140, 278, 220 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 430, 142, 937, 368
• GCD of 623, 850, 827, 389
• GCD of 722, 349, 791, 598
• GCD of 799, 536, 643, 728
• GCD of 172, 777, 140, 480

Given numbers are 338, 140, 278, 220
The greatest common divisor of numbers 338, 140, 278, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 140, 278, 220 is 2.

1. What is the GCD of 338, 140, 278, 220?

GCD of given numbers 338, 140, 278, 220 is 2

2. How to calculate the greatest common divisor of 338, 140, 278, 220?

We can find the highest common divisor of 338, 140, 278, 220 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 338, 140, 278, 220 i.e 2.

3. How can I use the GCD of 338, 140, 278, 220Calculator?

Out the numbers 338, 140, 278, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.