GCD of 738, 982, 854 Calculator

Given Input numbers are 738, 982, 854

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 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

GCD of numbers is the greatest common divisor

So, the GCD (738, 982, 854) = 2.

Given numbers are 738, 982, 854

The list of prime factors of all numbers are

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

Prime factors of 982 are 2 x 491

Prime factors of 854 are 2 x 7 x 61

The highest common occurrence is 2¹

Therefore, GCD of 738, 982, 854 is 2.

Given numbers are 738, 982, 854

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

Apply this formula for all numbers.

Step1:

LCM(738, 982) = 362358

GCD(738, 982) = ( 738 x 982 ) / 362358

= 738 / 982

= 738

Step2:

LCM(2, 854) = 854

GCD(2, 854) = ( 2 x 854 ) / 854

= 2 / 854

= 2

So, Greatest Common Divisor of 738, 982, 854 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 304, 562, 682
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• GCD of 822, 979, 839
• GCD of 587, 374, 113
• GCD of 420, 575, 780

Given numbers are 738, 982, 854
The greatest common divisor of numbers 738, 982, 854 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 982, 854 is 2.

1. What is the GCD of 738, 982, 854?

GCD of given numbers 738, 982, 854 is 2

2. How to calculate the greatest common divisor of 738, 982, 854?

We can find the highest common divisor of 738, 982, 854 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, 982, 854 i.e 2.

3. How can I use the GCD of 738, 982, 854Calculator?

Out the numbers 738, 982, 854 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.