GCD of 742, 610, 660, 724 Calculator

Given Input numbers are 742, 610, 660, 724

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 610 :

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

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

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 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

GCD of numbers is the greatest common divisor

So, the GCD (742, 610, 660, 724) = 2.

Given numbers are 742, 610, 660, 724

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 610 are 2 x 5 x 61

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

Prime factors of 724 are 2 x 2 x 181

The highest common occurrence is 2¹

Therefore, GCD of 742, 610, 660, 724 is 2.

Given numbers are 742, 610, 660, 724

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

Apply this formula for all numbers.

Step1:

LCM(742, 610) = 226310

GCD(742, 610) = ( 742 x 610 ) / 226310

= 742 / 610

= 742

Step2:

LCM(2, 660) = 660

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

= 2 / 660

= 2

Step3:

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

= 2 / 724

= 2

So, Greatest Common Divisor of 742, 610, 660, 724 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 949, 366, 517, 393
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Given numbers are 742, 610, 660, 724
The greatest common divisor of numbers 742, 610, 660, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 610, 660, 724 is 2.

1. What is the GCD of 742, 610, 660, 724?

GCD of given numbers 742, 610, 660, 724 is 2

2. How to calculate the greatest common divisor of 742, 610, 660, 724?

We can find the highest common divisor of 742, 610, 660, 724 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, 610, 660, 724 i.e 2.

3. How can I use the GCD of 742, 610, 660, 724Calculator?

Out the numbers 742, 610, 660, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.