GCD of 688, 921, 106, 749 Calculator

Given Input numbers are 688, 921, 106, 749

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

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 921 :

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

1, 3, 307, 921

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

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 (688, 921, 106, 749) = 1.

Given numbers are 688, 921, 106, 749

The list of prime factors of all numbers are

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 921 are 3 x 307

Prime factors of 106 are 2 x 53

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 688, 921, 106, 749

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

Apply this formula for all numbers.

Step1:

LCM(688, 921) = 633648

GCD(688, 921) = ( 688 x 921 ) / 633648

= 688 / 921

= 688

Step2:

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

= 1 / 106

= 1

Step3:

LCM(1, 749) = 749

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

= 1 / 749

= 1

So, Greatest Common Divisor of 688, 921, 106, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 421, 467, 434, 449
• GCD of 933, 123, 862, 875
• GCD of 766, 529, 768, 444
• GCD of 463, 527, 758, 379
• GCD of 103, 123, 380, 561

Given numbers are 688, 921, 106, 749
The greatest common divisor of numbers 688, 921, 106, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 921, 106, 749 is 1.

1. What is the GCD of 688, 921, 106, 749?

GCD of given numbers 688, 921, 106, 749 is 1

2. How to calculate the greatest common divisor of 688, 921, 106, 749?

We can find the highest common divisor of 688, 921, 106, 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 688, 921, 106, 749 i.e 1.

3. How can I use the GCD of 688, 921, 106, 749Calculator?

Out the numbers 688, 921, 106, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.