GCD of 108, 402, 491, 269 Calculator

Given Input numbers are 108, 402, 491, 269

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 491 :

The positive integer divisors of 491 that completely divides 491 are.

1, 491

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

GCD of numbers is the greatest common divisor

So, the GCD (108, 402, 491, 269) = 1.

Given numbers are 108, 402, 491, 269

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 402 are 2 x 3 x 67

Prime factors of 491 are 491

Prime factors of 269 are 269

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

Given numbers are 108, 402, 491, 269

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

Apply this formula for all numbers.

Step1:

LCM(108, 402) = 7236

GCD(108, 402) = ( 108 x 402 ) / 7236

= 108 / 402

= 108

Step2:

LCM(6, 491) = 2946

GCD(6, 491) = ( 6 x 491 ) / 2946

= 6 / 491

= 6

Step3:

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

= 1 / 269

= 1

So, Greatest Common Divisor of 108, 402, 491, 269 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 373, 188, 890, 945
• GCD of 244, 111, 250, 699
• GCD of 719, 874, 992, 495
• GCD of 576, 236, 798, 146
• GCD of 841, 159, 814, 358

Given numbers are 108, 402, 491, 269
The greatest common divisor of numbers 108, 402, 491, 269 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 402, 491, 269 is 1.

1. What is the GCD of 108, 402, 491, 269?

GCD of given numbers 108, 402, 491, 269 is 1

2. How to calculate the greatest common divisor of 108, 402, 491, 269?

We can find the highest common divisor of 108, 402, 491, 269 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 108, 402, 491, 269 i.e 1.

3. How can I use the GCD of 108, 402, 491, 269Calculator?

Out the numbers 108, 402, 491, 269 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.