GCD of 238, 778, 708, 378 Calculator

Given Input numbers are 238, 778, 708, 378

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

Divisors of 238 :

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

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

Divisors of 778 :

The positive integer divisors of 778 that completely divides 778 are.

1, 2, 389, 778

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

GCD of numbers is the greatest common divisor

So, the GCD (238, 778, 708, 378) = 2.

Given numbers are 238, 778, 708, 378

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 778 are 2 x 389

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 238, 778, 708, 378 is 2.

Given numbers are 238, 778, 708, 378

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

Apply this formula for all numbers.

Step1:

LCM(238, 778) = 92582

GCD(238, 778) = ( 238 x 778 ) / 92582

= 238 / 778

= 238

Step2:

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

= 2 / 708

= 2

Step3:

LCM(2, 378) = 378

GCD(2, 378) = ( 2 x 378 ) / 378

= 2 / 378

= 2

So, Greatest Common Divisor of 238, 778, 708, 378 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 221, 703, 385, 276
• GCD of 789, 635, 751, 304
• GCD of 457, 530, 645, 821
• GCD of 446, 629, 301, 826
• GCD of 607, 296, 769, 246

Given numbers are 238, 778, 708, 378
The greatest common divisor of numbers 238, 778, 708, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 778, 708, 378 is 2.

1. What is the GCD of 238, 778, 708, 378?

GCD of given numbers 238, 778, 708, 378 is 2

2. How to calculate the greatest common divisor of 238, 778, 708, 378?

We can find the highest common divisor of 238, 778, 708, 378 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 238, 778, 708, 378 i.e 2.

3. How can I use the GCD of 238, 778, 708, 378Calculator?

Out the numbers 238, 778, 708, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.