GCD of 174, 387, 678, 703 Calculator

Given Input numbers are 174, 387, 678, 703

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

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 678 :

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

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

Divisors of 703 :

The positive integer divisors of 703 that completely divides 703 are.

1, 19, 37, 703

GCD of numbers is the greatest common divisor

So, the GCD (174, 387, 678, 703) = 1.

Given numbers are 174, 387, 678, 703

The list of prime factors of all numbers are

Prime factors of 174 are 2 x 3 x 29

Prime factors of 387 are 3 x 3 x 43

Prime factors of 678 are 2 x 3 x 113

Prime factors of 703 are 19 x 37

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

Given numbers are 174, 387, 678, 703

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

Apply this formula for all numbers.

Step1:

LCM(174, 387) = 22446

GCD(174, 387) = ( 174 x 387 ) / 22446

= 174 / 387

= 174

Step2:

LCM(3, 678) = 678

GCD(3, 678) = ( 3 x 678 ) / 678

= 3 / 678

= 3

Step3:

LCM(3, 703) = 2109

GCD(3, 703) = ( 3 x 703 ) / 2109

= 3 / 703

= 3

So, Greatest Common Divisor of 174, 387, 678, 703 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 274, 280, 114, 628
• GCD of 662, 880, 635, 131
• GCD of 969, 881, 291, 850
• GCD of 549, 659, 833, 701
• GCD of 211, 372, 269, 671

Given numbers are 174, 387, 678, 703
The greatest common divisor of numbers 174, 387, 678, 703 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 387, 678, 703 is 1.

1. What is the GCD of 174, 387, 678, 703?

GCD of given numbers 174, 387, 678, 703 is 1

2. How to calculate the greatest common divisor of 174, 387, 678, 703?

We can find the highest common divisor of 174, 387, 678, 703 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 174, 387, 678, 703 i.e 1.

3. How can I use the GCD of 174, 387, 678, 703Calculator?

Out the numbers 174, 387, 678, 703 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.