GCD of 718, 827, 704, 749 Calculator

Given Input numbers are 718, 827, 704, 749

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

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

Divisors of 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

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 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 (718, 827, 704, 749) = 1.

Given numbers are 718, 827, 704, 749

The list of prime factors of all numbers are

Prime factors of 718 are 2 x 359

Prime factors of 827 are 827

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

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 718, 827, 704, 749

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

Apply this formula for all numbers.

Step1:

LCM(718, 827) = 593786

GCD(718, 827) = ( 718 x 827 ) / 593786

= 718 / 827

= 718

Step2:

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

= 1 / 704

= 1

Step3:

LCM(1, 749) = 749

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

= 1 / 749

= 1

So, Greatest Common Divisor of 718, 827, 704, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 740, 253, 761, 762
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• GCD of 953, 393, 901, 447

Given numbers are 718, 827, 704, 749
The greatest common divisor of numbers 718, 827, 704, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 718, 827, 704, 749 is 1.

1. What is the GCD of 718, 827, 704, 749?

GCD of given numbers 718, 827, 704, 749 is 1

2. How to calculate the greatest common divisor of 718, 827, 704, 749?

We can find the highest common divisor of 718, 827, 704, 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 718, 827, 704, 749 i.e 1.

3. How can I use the GCD of 718, 827, 704, 749Calculator?

Out the numbers 718, 827, 704, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.