GCD of 254, 160, 338, 738 Calculator

Given Input numbers are 254, 160, 338, 738

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

Divisors of 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

GCD of numbers is the greatest common divisor

So, the GCD (254, 160, 338, 738) = 2.

Given numbers are 254, 160, 338, 738

The list of prime factors of all numbers are

Prime factors of 254 are 2 x 127

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 338 are 2 x 13 x 13

Prime factors of 738 are 2 x 3 x 3 x 41

The highest common occurrence is 2¹

Therefore, GCD of 254, 160, 338, 738 is 2.

Given numbers are 254, 160, 338, 738

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

Apply this formula for all numbers.

Step1:

LCM(254, 160) = 20320

GCD(254, 160) = ( 254 x 160 ) / 20320

= 254 / 160

= 254

Step2:

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

= 2 / 338

= 2

Step3:

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

= 2 / 738

= 2

So, Greatest Common Divisor of 254, 160, 338, 738 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 355, 146, 209, 366
• GCD of 739, 657, 442, 676
• GCD of 292, 852, 510, 401
• GCD of 631, 109, 798, 114
• GCD of 254, 899, 212, 548

Given numbers are 254, 160, 338, 738
The greatest common divisor of numbers 254, 160, 338, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 254, 160, 338, 738 is 2.

1. What is the GCD of 254, 160, 338, 738?

GCD of given numbers 254, 160, 338, 738 is 2

2. How to calculate the greatest common divisor of 254, 160, 338, 738?

We can find the highest common divisor of 254, 160, 338, 738 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 254, 160, 338, 738 i.e 2.

3. How can I use the GCD of 254, 160, 338, 738Calculator?

Out the numbers 254, 160, 338, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.