GCD of 340, 544, 238, 144 Calculator

Given Input numbers are 340, 544, 238, 144

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

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 544 :

The positive integer divisors of 544 that completely divides 544 are.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

GCD of numbers is the greatest common divisor

So, the GCD (340, 544, 238, 144) = 2.

Given numbers are 340, 544, 238, 144

The list of prime factors of all numbers are

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

Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17

Prime factors of 238 are 2 x 7 x 17

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 340, 544, 238, 144 is 2.

Given numbers are 340, 544, 238, 144

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

Apply this formula for all numbers.

Step1:

LCM(340, 544) = 2720

GCD(340, 544) = ( 340 x 544 ) / 2720

= 340 / 544

= 340

Step2:

LCM(68, 238) = 476

GCD(68, 238) = ( 68 x 238 ) / 476

= 68 / 238

= 68

Step3:

LCM(34, 144) = 2448

GCD(34, 144) = ( 34 x 144 ) / 2448

= 34 / 144

= 34

So, Greatest Common Divisor of 340, 544, 238, 144 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 895, 148, 985, 216
• GCD of 718, 414, 403, 151
• GCD of 816, 126, 817, 423
• GCD of 684, 971, 524, 627
• GCD of 958, 233, 552, 794

Given numbers are 340, 544, 238, 144
The greatest common divisor of numbers 340, 544, 238, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 544, 238, 144 is 2.

1. What is the GCD of 340, 544, 238, 144?

GCD of given numbers 340, 544, 238, 144 is 2

2. How to calculate the greatest common divisor of 340, 544, 238, 144?

We can find the highest common divisor of 340, 544, 238, 144 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 340, 544, 238, 144 i.e 2.

3. How can I use the GCD of 340, 544, 238, 144Calculator?

Out the numbers 340, 544, 238, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.