GCD of 742, 116, 610, 252 Calculator

Given Input numbers are 742, 116, 610, 252

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 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 610 :

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

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

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

GCD of numbers is the greatest common divisor

So, the GCD (742, 116, 610, 252) = 2.

Given numbers are 742, 116, 610, 252

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 116 are 2 x 2 x 29

Prime factors of 610 are 2 x 5 x 61

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 742, 116, 610, 252 is 2.

Given numbers are 742, 116, 610, 252

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

Apply this formula for all numbers.

Step1:

LCM(742, 116) = 43036

GCD(742, 116) = ( 742 x 116 ) / 43036

= 742 / 116

= 742

Step2:

LCM(2, 610) = 610

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

= 2 / 610

= 2

Step3:

LCM(2, 252) = 252

GCD(2, 252) = ( 2 x 252 ) / 252

= 2 / 252

= 2

So, Greatest Common Divisor of 742, 116, 610, 252 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 951, 978, 706, 610
• GCD of 178, 602, 319, 917
• GCD of 493, 653, 506, 567
• GCD of 132, 879, 442, 368
• GCD of 938, 985, 506, 446

Given numbers are 742, 116, 610, 252
The greatest common divisor of numbers 742, 116, 610, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 116, 610, 252 is 2.

1. What is the GCD of 742, 116, 610, 252?

GCD of given numbers 742, 116, 610, 252 is 2

2. How to calculate the greatest common divisor of 742, 116, 610, 252?

We can find the highest common divisor of 742, 116, 610, 252 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, 116, 610, 252 i.e 2.

3. How can I use the GCD of 742, 116, 610, 252Calculator?

Out the numbers 742, 116, 610, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.