GCD of 704, 267, 821, 313 Calculator

Given Input numbers are 704, 267, 821, 313

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 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

GCD of numbers is the greatest common divisor

So, the GCD (704, 267, 821, 313) = 1.

Given numbers are 704, 267, 821, 313

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 267 are 3 x 89

Prime factors of 821 are 821

Prime factors of 313 are 313

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

Given numbers are 704, 267, 821, 313

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

Apply this formula for all numbers.

Step1:

LCM(704, 267) = 187968

GCD(704, 267) = ( 704 x 267 ) / 187968

= 704 / 267

= 704

Step2:

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

= 1 / 821

= 1

Step3:

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

= 1 / 313

= 1

So, Greatest Common Divisor of 704, 267, 821, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 178, 882, 695, 645
• GCD of 968, 470, 737, 651
• GCD of 616, 263, 996, 976
• GCD of 594, 675, 231, 637
• GCD of 673, 482, 389, 796

Given numbers are 704, 267, 821, 313
The greatest common divisor of numbers 704, 267, 821, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 267, 821, 313 is 1.

1. What is the GCD of 704, 267, 821, 313?

GCD of given numbers 704, 267, 821, 313 is 1

2. How to calculate the greatest common divisor of 704, 267, 821, 313?

We can find the highest common divisor of 704, 267, 821, 313 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, 267, 821, 313 i.e 1.

3. How can I use the GCD of 704, 267, 821, 313Calculator?

Out the numbers 704, 267, 821, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.