GCD of 704, 464, 298, 921 Calculator

Given Input numbers are 704, 464, 298, 921

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 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

GCD of numbers is the greatest common divisor

So, the GCD (704, 464, 298, 921) = 1.

Given numbers are 704, 464, 298, 921

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 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 298 are 2 x 149

Prime factors of 921 are 3 x 307

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

Given numbers are 704, 464, 298, 921

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

Apply this formula for all numbers.

Step1:

LCM(704, 464) = 20416

GCD(704, 464) = ( 704 x 464 ) / 20416

= 704 / 464

= 704

Step2:

LCM(16, 298) = 2384

GCD(16, 298) = ( 16 x 298 ) / 2384

= 16 / 298

= 16

Step3:

LCM(2, 921) = 1842

GCD(2, 921) = ( 2 x 921 ) / 1842

= 2 / 921

= 2

So, Greatest Common Divisor of 704, 464, 298, 921 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 329, 356, 108, 815
• GCD of 837, 241, 849, 139
• GCD of 871, 375, 147, 583
• GCD of 458, 427, 675, 672
• GCD of 714, 127, 638, 799

Given numbers are 704, 464, 298, 921
The greatest common divisor of numbers 704, 464, 298, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 464, 298, 921 is 1.

1. What is the GCD of 704, 464, 298, 921?

GCD of given numbers 704, 464, 298, 921 is 1

2. How to calculate the greatest common divisor of 704, 464, 298, 921?

We can find the highest common divisor of 704, 464, 298, 921 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, 464, 298, 921 i.e 1.

3. How can I use the GCD of 704, 464, 298, 921Calculator?

Out the numbers 704, 464, 298, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.