GCD of 901, 989, 131, 414 Calculator

Given Input numbers are 901, 989, 131, 414

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

Divisors of 901 :

The positive integer divisors of 901 that completely divides 901 are.

1, 17, 53, 901

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

Divisors of 131 :

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

1, 131

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

GCD of numbers is the greatest common divisor

So, the GCD (901, 989, 131, 414) = 1.

Given numbers are 901, 989, 131, 414

The list of prime factors of all numbers are

Prime factors of 901 are 17 x 53

Prime factors of 989 are 23 x 43

Prime factors of 131 are 131

Prime factors of 414 are 2 x 3 x 3 x 23

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

Given numbers are 901, 989, 131, 414

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

Apply this formula for all numbers.

Step1:

LCM(901, 989) = 891089

GCD(901, 989) = ( 901 x 989 ) / 891089

= 901 / 989

= 901

Step2:

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

= 1 / 131

= 1

Step3:

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

= 1 / 414

= 1

So, Greatest Common Divisor of 901, 989, 131, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 783, 182, 110, 279
• GCD of 356, 569, 596, 813
• GCD of 582, 227, 503, 663
• GCD of 234, 669, 539, 582
• GCD of 793, 954, 215, 847

Given numbers are 901, 989, 131, 414
The greatest common divisor of numbers 901, 989, 131, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 901, 989, 131, 414 is 1.

1. What is the GCD of 901, 989, 131, 414?

GCD of given numbers 901, 989, 131, 414 is 1

2. How to calculate the greatest common divisor of 901, 989, 131, 414?

We can find the highest common divisor of 901, 989, 131, 414 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 901, 989, 131, 414 i.e 1.

3. How can I use the GCD of 901, 989, 131, 414Calculator?

Out the numbers 901, 989, 131, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.