GCD of 505, 174, 694, 704 Calculator

Given Input numbers are 505, 174, 694, 704

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

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 174 :

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

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

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

GCD of numbers is the greatest common divisor

So, the GCD (505, 174, 694, 704) = 1.

Given numbers are 505, 174, 694, 704

The list of prime factors of all numbers are

Prime factors of 505 are 5 x 101

Prime factors of 174 are 2 x 3 x 29

Prime factors of 694 are 2 x 347

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

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

Given numbers are 505, 174, 694, 704

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

Apply this formula for all numbers.

Step1:

LCM(505, 174) = 87870

GCD(505, 174) = ( 505 x 174 ) / 87870

= 505 / 174

= 505

Step2:

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

= 1 / 694

= 1

Step3:

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

= 1 / 704

= 1

So, Greatest Common Divisor of 505, 174, 694, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 546, 980, 722, 519
• GCD of 315, 184, 788, 136
• GCD of 468, 939, 553, 181
• GCD of 315, 657, 738, 612
• GCD of 823, 264, 977, 553

Given numbers are 505, 174, 694, 704
The greatest common divisor of numbers 505, 174, 694, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 505, 174, 694, 704 is 1.

1. What is the GCD of 505, 174, 694, 704?

GCD of given numbers 505, 174, 694, 704 is 1

2. How to calculate the greatest common divisor of 505, 174, 694, 704?

We can find the highest common divisor of 505, 174, 694, 704 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 505, 174, 694, 704 i.e 1.

3. How can I use the GCD of 505, 174, 694, 704Calculator?

Out the numbers 505, 174, 694, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.