GCD of 676, 704, 407, 738 Calculator

Given Input numbers are 676, 704, 407, 738

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

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 407 :

The positive integer divisors of 407 that completely divides 407 are.

1, 11, 37, 407

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

GCD of numbers is the greatest common divisor

So, the GCD (676, 704, 407, 738) = 1.

Given numbers are 676, 704, 407, 738

The list of prime factors of all numbers are

Prime factors of 676 are 2 x 2 x 13 x 13

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

Prime factors of 407 are 11 x 37

Prime factors of 738 are 2 x 3 x 3 x 41

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

Given numbers are 676, 704, 407, 738

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

Apply this formula for all numbers.

Step1:

LCM(676, 704) = 118976

GCD(676, 704) = ( 676 x 704 ) / 118976

= 676 / 704

= 676

Step2:

LCM(4, 407) = 1628

GCD(4, 407) = ( 4 x 407 ) / 1628

= 4 / 407

= 4

Step3:

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

= 1 / 738

= 1

So, Greatest Common Divisor of 676, 704, 407, 738 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 637, 380, 610, 801
• GCD of 415, 858, 549, 857
• GCD of 360, 739, 693, 286
• GCD of 300, 599, 869, 292
• GCD of 999, 729, 383, 921

Given numbers are 676, 704, 407, 738
The greatest common divisor of numbers 676, 704, 407, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 704, 407, 738 is 1.

1. What is the GCD of 676, 704, 407, 738?

GCD of given numbers 676, 704, 407, 738 is 1

2. How to calculate the greatest common divisor of 676, 704, 407, 738?

We can find the highest common divisor of 676, 704, 407, 738 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 676, 704, 407, 738 i.e 1.

3. How can I use the GCD of 676, 704, 407, 738Calculator?

Out the numbers 676, 704, 407, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.