GCD of 738, 104, 830, 986 Calculator

Given Input numbers are 738, 104, 830, 986

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 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

GCD of numbers is the greatest common divisor

So, the GCD (738, 104, 830, 986) = 2.

Given numbers are 738, 104, 830, 986

The list of prime factors of all numbers are

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

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 830 are 2 x 5 x 83

Prime factors of 986 are 2 x 17 x 29

The highest common occurrence is 2¹

Therefore, GCD of 738, 104, 830, 986 is 2.

Given numbers are 738, 104, 830, 986

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

Apply this formula for all numbers.

Step1:

LCM(738, 104) = 38376

GCD(738, 104) = ( 738 x 104 ) / 38376

= 738 / 104

= 738

Step2:

LCM(2, 830) = 830

GCD(2, 830) = ( 2 x 830 ) / 830

= 2 / 830

= 2

Step3:

LCM(2, 986) = 986

GCD(2, 986) = ( 2 x 986 ) / 986

= 2 / 986

= 2

So, Greatest Common Divisor of 738, 104, 830, 986 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 296, 497, 413, 491
• GCD of 485, 977, 185, 981
• GCD of 831, 264, 678, 160
• GCD of 886, 326, 519, 964
• GCD of 519, 227, 714, 412

Given numbers are 738, 104, 830, 986
The greatest common divisor of numbers 738, 104, 830, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 104, 830, 986 is 2.

1. What is the GCD of 738, 104, 830, 986?

GCD of given numbers 738, 104, 830, 986 is 2

2. How to calculate the greatest common divisor of 738, 104, 830, 986?

We can find the highest common divisor of 738, 104, 830, 986 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, 104, 830, 986 i.e 2.

3. How can I use the GCD of 738, 104, 830, 986Calculator?

Out the numbers 738, 104, 830, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.