GCD of 738, 114, 237 Calculator

Given Input numbers are 738, 114, 237

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 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 237 :

The positive integer divisors of 237 that completely divides 237 are.

1, 3, 79, 237

GCD of numbers is the greatest common divisor

So, the GCD (738, 114, 237) = 3.

Given numbers are 738, 114, 237

The list of prime factors of all numbers are

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

Prime factors of 114 are 2 x 3 x 19

Prime factors of 237 are 3 x 79

The highest common occurrence is 3¹

Therefore, GCD of 738, 114, 237 is 3.

Given numbers are 738, 114, 237

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

Apply this formula for all numbers.

Step1:

LCM(738, 114) = 14022

GCD(738, 114) = ( 738 x 114 ) / 14022

= 738 / 114

= 738

Step2:

LCM(6, 237) = 474

GCD(6, 237) = ( 6 x 237 ) / 474

= 6 / 237

= 6

So, Greatest Common Divisor of 738, 114, 237 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 379, 703, 432
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• GCD of 292, 196, 775
• GCD of 162, 245, 409
• GCD of 714, 693, 351

Given numbers are 738, 114, 237
The greatest common divisor of numbers 738, 114, 237 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 114, 237 is 3.

1. What is the GCD of 738, 114, 237?

GCD of given numbers 738, 114, 237 is 3

2. How to calculate the greatest common divisor of 738, 114, 237?

We can find the highest common divisor of 738, 114, 237 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, 114, 237 i.e 3.

3. How can I use the GCD of 738, 114, 237Calculator?

Out the numbers 738, 114, 237 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.