GCD of 470, 314, 491, 694 Calculator

Given Input numbers are 470, 314, 491, 694

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

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 491 :

The positive integer divisors of 491 that completely divides 491 are.

1, 491

Divisors of 694 :

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

1, 2, 347, 694

GCD of numbers is the greatest common divisor

So, the GCD (470, 314, 491, 694) = 1.

Given numbers are 470, 314, 491, 694

The list of prime factors of all numbers are

Prime factors of 470 are 2 x 5 x 47

Prime factors of 314 are 2 x 157

Prime factors of 491 are 491

Prime factors of 694 are 2 x 347

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

Given numbers are 470, 314, 491, 694

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

Apply this formula for all numbers.

Step1:

LCM(470, 314) = 73790

GCD(470, 314) = ( 470 x 314 ) / 73790

= 470 / 314

= 470

Step2:

LCM(2, 491) = 982

GCD(2, 491) = ( 2 x 491 ) / 982

= 2 / 491

= 2

Step3:

LCM(1, 694) = 694

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

= 1 / 694

= 1

So, Greatest Common Divisor of 470, 314, 491, 694 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 537, 759, 957, 845
• GCD of 302, 271, 270, 266
• GCD of 580, 956, 657, 907
• GCD of 884, 522, 179, 352
• GCD of 817, 377, 465, 820

Given numbers are 470, 314, 491, 694
The greatest common divisor of numbers 470, 314, 491, 694 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 314, 491, 694 is 1.

1. What is the GCD of 470, 314, 491, 694?

GCD of given numbers 470, 314, 491, 694 is 1

2. How to calculate the greatest common divisor of 470, 314, 491, 694?

We can find the highest common divisor of 470, 314, 491, 694 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 470, 314, 491, 694 i.e 1.

3. How can I use the GCD of 470, 314, 491, 694Calculator?

Out the numbers 470, 314, 491, 694 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.