GCD of 742, 660, 610, 722 Calculator

Given Input numbers are 742, 660, 610, 722

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

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 610 :

The positive integer divisors of 610 that completely divides 610 are.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

GCD of numbers is the greatest common divisor

So, the GCD (742, 660, 610, 722) = 2.

Given numbers are 742, 660, 610, 722

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

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

Prime factors of 610 are 2 x 5 x 61

Prime factors of 722 are 2 x 19 x 19

The highest common occurrence is 2¹

Therefore, GCD of 742, 660, 610, 722 is 2.

Given numbers are 742, 660, 610, 722

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

Apply this formula for all numbers.

Step1:

LCM(742, 660) = 244860

GCD(742, 660) = ( 742 x 660 ) / 244860

= 742 / 660

= 742

Step2:

LCM(2, 610) = 610

GCD(2, 610) = ( 2 x 610 ) / 610

= 2 / 610

= 2

Step3:

LCM(2, 722) = 722

GCD(2, 722) = ( 2 x 722 ) / 722

= 2 / 722

= 2

So, Greatest Common Divisor of 742, 660, 610, 722 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 633, 970, 404, 913
• GCD of 409, 219, 156, 218
• GCD of 208, 388, 112, 276
• GCD of 568, 641, 619, 178
• GCD of 727, 839, 102, 408

Given numbers are 742, 660, 610, 722
The greatest common divisor of numbers 742, 660, 610, 722 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 660, 610, 722 is 2.

1. What is the GCD of 742, 660, 610, 722?

GCD of given numbers 742, 660, 610, 722 is 2

2. How to calculate the greatest common divisor of 742, 660, 610, 722?

We can find the highest common divisor of 742, 660, 610, 722 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 742, 660, 610, 722 i.e 2.

3. How can I use the GCD of 742, 660, 610, 722Calculator?

Out the numbers 742, 660, 610, 722 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.