GCD of 678, 381, 735, 158 Calculator

Given Input numbers are 678, 381, 735, 158

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

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 158 :

The positive integer divisors of 158 that completely divides 158 are.

1, 2, 79, 158

GCD of numbers is the greatest common divisor

So, the GCD (678, 381, 735, 158) = 1.

Given numbers are 678, 381, 735, 158

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 381 are 3 x 127

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 158 are 2 x 79

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 678, 381, 735, 158

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

Apply this formula for all numbers.

Step1:

LCM(678, 381) = 86106

GCD(678, 381) = ( 678 x 381 ) / 86106

= 678 / 381

= 678

Step2:

LCM(3, 735) = 735

GCD(3, 735) = ( 3 x 735 ) / 735

= 3 / 735

= 3

Step3:

LCM(3, 158) = 474

GCD(3, 158) = ( 3 x 158 ) / 474

= 3 / 158

= 3

So, Greatest Common Divisor of 678, 381, 735, 158 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 219, 308, 705, 844
• GCD of 455, 958, 797, 207
• GCD of 741, 809, 120, 617
• GCD of 222, 877, 565, 209
• GCD of 911, 498, 183, 588

Given numbers are 678, 381, 735, 158
The greatest common divisor of numbers 678, 381, 735, 158 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 381, 735, 158 is 1.

1. What is the GCD of 678, 381, 735, 158?

GCD of given numbers 678, 381, 735, 158 is 1

2. How to calculate the greatest common divisor of 678, 381, 735, 158?

We can find the highest common divisor of 678, 381, 735, 158 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 678, 381, 735, 158 i.e 1.

3. How can I use the GCD of 678, 381, 735, 158Calculator?

Out the numbers 678, 381, 735, 158 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.