GCD of 704, 853, 31, 749 Calculator

Given Input numbers are 704, 853, 31, 749

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

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

Divisors of 853 :

The positive integer divisors of 853 that completely divides 853 are.

1, 853

Divisors of 31 :

The positive integer divisors of 31 that completely divides 31 are.

1, 31

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

GCD of numbers is the greatest common divisor

So, the GCD (704, 853, 31, 749) = 1.

Given numbers are 704, 853, 31, 749

The list of prime factors of all numbers are

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

Prime factors of 853 are 853

Prime factors of 31 are 31

Prime factors of 749 are 7 x 107

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

Given numbers are 704, 853, 31, 749

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

Apply this formula for all numbers.

Step1:

LCM(704, 853) = 600512

GCD(704, 853) = ( 704 x 853 ) / 600512

= 704 / 853

= 704

Step2:

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

= 1 / 31

= 1

Step3:

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

= 1 / 749

= 1

So, Greatest Common Divisor of 704, 853, 31, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 214, 889, 75, 509
• GCD of 455, 768, 43, 406
• GCD of 400, 785, 91, 883
• GCD of 191, 343, 55, 928
• GCD of 980, 435, 17, 857

Given numbers are 704, 853, 31, 749
The greatest common divisor of numbers 704, 853, 31, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 853, 31, 749 is 1.

1. What is the GCD of 704, 853, 31, 749?

GCD of given numbers 704, 853, 31, 749 is 1

2. How to calculate the greatest common divisor of 704, 853, 31, 749?

We can find the highest common divisor of 704, 853, 31, 749 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 704, 853, 31, 749 i.e 1.

3. How can I use the GCD of 704, 853, 31, 749Calculator?

Out the numbers 704, 853, 31, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.