GCD of 738, 682, 660, 110 Calculator

Given Input numbers are 738, 682, 660, 110

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

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

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

GCD of numbers is the greatest common divisor

So, the GCD (738, 682, 660, 110) = 2.

Given numbers are 738, 682, 660, 110

The list of prime factors of all numbers are

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

Prime factors of 682 are 2 x 11 x 31

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 110 are 2 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 738, 682, 660, 110 is 2.

Given numbers are 738, 682, 660, 110

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

Apply this formula for all numbers.

Step1:

LCM(738, 682) = 251658

GCD(738, 682) = ( 738 x 682 ) / 251658

= 738 / 682

= 738

Step2:

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

= 2 / 660

= 2

Step3:

LCM(2, 110) = 110

GCD(2, 110) = ( 2 x 110 ) / 110

= 2 / 110

= 2

So, Greatest Common Divisor of 738, 682, 660, 110 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 150, 601, 797, 883
• GCD of 300, 903, 293, 831
• GCD of 108, 817, 235, 624
• GCD of 781, 336, 691, 425
• GCD of 707, 630, 337, 550

Given numbers are 738, 682, 660, 110
The greatest common divisor of numbers 738, 682, 660, 110 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 682, 660, 110 is 2.

1. What is the GCD of 738, 682, 660, 110?

GCD of given numbers 738, 682, 660, 110 is 2

2. How to calculate the greatest common divisor of 738, 682, 660, 110?

We can find the highest common divisor of 738, 682, 660, 110 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 738, 682, 660, 110 i.e 2.

3. How can I use the GCD of 738, 682, 660, 110Calculator?

Out the numbers 738, 682, 660, 110 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.