GCD of 704, 300, 693, 991 Calculator

Given Input numbers are 704, 300, 693, 991

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 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 991 :

The positive integer divisors of 991 that completely divides 991 are.

1, 991

GCD of numbers is the greatest common divisor

So, the GCD (704, 300, 693, 991) = 1.

Given numbers are 704, 300, 693, 991

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 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 991 are 991

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

Given numbers are 704, 300, 693, 991

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

Apply this formula for all numbers.

Step1:

LCM(704, 300) = 52800

GCD(704, 300) = ( 704 x 300 ) / 52800

= 704 / 300

= 704

Step2:

LCM(4, 693) = 2772

GCD(4, 693) = ( 4 x 693 ) / 2772

= 4 / 693

= 4

Step3:

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

= 1 / 991

= 1

So, Greatest Common Divisor of 704, 300, 693, 991 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 263, 754, 226, 235
• GCD of 992, 288, 373, 514
• GCD of 425, 743, 637, 284
• GCD of 176, 612, 688, 845
• GCD of 944, 969, 678, 187

Given numbers are 704, 300, 693, 991
The greatest common divisor of numbers 704, 300, 693, 991 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 300, 693, 991 is 1.

1. What is the GCD of 704, 300, 693, 991?

GCD of given numbers 704, 300, 693, 991 is 1

2. How to calculate the greatest common divisor of 704, 300, 693, 991?

We can find the highest common divisor of 704, 300, 693, 991 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, 300, 693, 991 i.e 1.

3. How can I use the GCD of 704, 300, 693, 991Calculator?

Out the numbers 704, 300, 693, 991 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.