GCD of 742, 238, 182 Calculator

Given Input numbers are 742, 238, 182

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 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

GCD of numbers is the greatest common divisor

So, the GCD (742, 238, 182) = 14.

Given numbers are 742, 238, 182

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 238 are 2 x 7 x 17

Prime factors of 182 are 2 x 7 x 13

The highest common occurrence is 2¹ x 7¹

Therefore, GCD of 742, 238, 182 is 14.

Given numbers are 742, 238, 182

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

Apply this formula for all numbers.

Step1:

LCM(742, 238) = 12614

GCD(742, 238) = ( 742 x 238 ) / 12614

= 742 / 238

= 742

Step2:

LCM(14, 182) = 182

GCD(14, 182) = ( 14 x 182 ) / 182

= 14 / 182

= 14

So, Greatest Common Divisor of 742, 238, 182 is 14

Here are some samples of GCD of Numbers calculations.

• GCD of 613, 292, 740
• GCD of 561, 543, 622
• GCD of 522, 792, 141
• GCD of 539, 294, 662
• GCD of 118, 624, 619

Given numbers are 742, 238, 182
The greatest common divisor of numbers 742, 238, 182 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 238, 182 is 14.

1. What is the GCD of 742, 238, 182?

GCD of given numbers 742, 238, 182 is 14

2. How to calculate the greatest common divisor of 742, 238, 182?

We can find the highest common divisor of 742, 238, 182 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, 238, 182 i.e 14.

3. How can I use the GCD of 742, 238, 182Calculator?

Out the numbers 742, 238, 182 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.