GCD of 228, 100, 982, 169 Calculator

Given Input numbers are 228, 100, 982, 169

In the factoring method, we have to find the divisors of all numbers

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 982 :

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

1, 2, 491, 982

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

GCD of numbers is the greatest common divisor

So, the GCD (228, 100, 982, 169) = 1.

Given numbers are 228, 100, 982, 169

The list of prime factors of all numbers are

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 982 are 2 x 491

Prime factors of 169 are 13 x 13

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 228, 100, 982, 169

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

Apply this formula for all numbers.

Step1:

LCM(228, 100) = 5700

GCD(228, 100) = ( 228 x 100 ) / 5700

= 228 / 100

= 228

Step2:

LCM(4, 982) = 1964

GCD(4, 982) = ( 4 x 982 ) / 1964

= 4 / 982

= 4

Step3:

LCM(2, 169) = 338

GCD(2, 169) = ( 2 x 169 ) / 338

= 2 / 169

= 2

So, Greatest Common Divisor of 228, 100, 982, 169 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 617, 135, 208, 361
• GCD of 853, 123, 128, 612
• GCD of 937, 943, 691, 639
• GCD of 159, 496, 901, 206
• GCD of 182, 812, 750, 434

Given numbers are 228, 100, 982, 169
The greatest common divisor of numbers 228, 100, 982, 169 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 100, 982, 169 is 1.

1. What is the GCD of 228, 100, 982, 169?

GCD of given numbers 228, 100, 982, 169 is 1

2. How to calculate the greatest common divisor of 228, 100, 982, 169?

We can find the highest common divisor of 228, 100, 982, 169 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 228, 100, 982, 169 i.e 1.

3. How can I use the GCD of 228, 100, 982, 169Calculator?

Out the numbers 228, 100, 982, 169 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.