GCD of 131, 504, 100, 697 Calculator

Given Input numbers are 131, 504, 100, 697

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

Divisors of 131 :

The positive integer divisors of 131 that completely divides 131 are.

1, 131

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

GCD of numbers is the greatest common divisor

So, the GCD (131, 504, 100, 697) = 1.

Given numbers are 131, 504, 100, 697

The list of prime factors of all numbers are

Prime factors of 131 are 131

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

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

Prime factors of 697 are 17 x 41

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

Given numbers are 131, 504, 100, 697

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

Apply this formula for all numbers.

Step1:

LCM(131, 504) = 66024

GCD(131, 504) = ( 131 x 504 ) / 66024

= 131 / 504

= 131

Step2:

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

= 1 / 100

= 1

Step3:

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

= 1 / 697

= 1

So, Greatest Common Divisor of 131, 504, 100, 697 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 551, 885, 674, 488
• GCD of 169, 543, 379, 147
• GCD of 673, 304, 229, 542
• GCD of 544, 845, 477, 966
• GCD of 509, 348, 985, 449

Given numbers are 131, 504, 100, 697
The greatest common divisor of numbers 131, 504, 100, 697 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 131, 504, 100, 697 is 1.

1. What is the GCD of 131, 504, 100, 697?

GCD of given numbers 131, 504, 100, 697 is 1

2. How to calculate the greatest common divisor of 131, 504, 100, 697?

We can find the highest common divisor of 131, 504, 100, 697 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 131, 504, 100, 697 i.e 1.

3. How can I use the GCD of 131, 504, 100, 697Calculator?

Out the numbers 131, 504, 100, 697 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.