GCD of 704, 400, 756, 497 Calculator

Given Input numbers are 704, 400, 756, 497

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 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497

GCD of numbers is the greatest common divisor

So, the GCD (704, 400, 756, 497) = 1.

Given numbers are 704, 400, 756, 497

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 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 497 are 7 x 71

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

Given numbers are 704, 400, 756, 497

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

Apply this formula for all numbers.

Step1:

LCM(704, 400) = 17600

GCD(704, 400) = ( 704 x 400 ) / 17600

= 704 / 400

= 704

Step2:

LCM(16, 756) = 3024

GCD(16, 756) = ( 16 x 756 ) / 3024

= 16 / 756

= 16

Step3:

LCM(4, 497) = 1988

GCD(4, 497) = ( 4 x 497 ) / 1988

= 4 / 497

= 4

So, Greatest Common Divisor of 704, 400, 756, 497 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 783, 686, 311, 292
• GCD of 580, 849, 435, 783
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• GCD of 991, 503, 559, 445
• GCD of 273, 259, 367, 442

Given numbers are 704, 400, 756, 497
The greatest common divisor of numbers 704, 400, 756, 497 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 400, 756, 497 is 1.

1. What is the GCD of 704, 400, 756, 497?

GCD of given numbers 704, 400, 756, 497 is 1

2. How to calculate the greatest common divisor of 704, 400, 756, 497?

We can find the highest common divisor of 704, 400, 756, 497 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, 400, 756, 497 i.e 1.

3. How can I use the GCD of 704, 400, 756, 497Calculator?

Out the numbers 704, 400, 756, 497 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.