GCD of 133, 245, 400, 171 Calculator

Given Input numbers are 133, 245, 400, 171

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

Divisors of 133 :

The positive integer divisors of 133 that completely divides 133 are.

1, 7, 19, 133

Divisors of 245 :

The positive integer divisors of 245 that completely divides 245 are.

1, 5, 7, 35, 49, 245

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

GCD of numbers is the greatest common divisor

So, the GCD (133, 245, 400, 171) = 1.

Given numbers are 133, 245, 400, 171

The list of prime factors of all numbers are

Prime factors of 133 are 7 x 19

Prime factors of 245 are 5 x 7 x 7

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 171 are 3 x 3 x 19

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

Given numbers are 133, 245, 400, 171

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

Apply this formula for all numbers.

Step1:

LCM(133, 245) = 4655

GCD(133, 245) = ( 133 x 245 ) / 4655

= 133 / 245

= 133

Step2:

LCM(7, 400) = 2800

GCD(7, 400) = ( 7 x 400 ) / 2800

= 7 / 400

= 7

Step3:

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

= 1 / 171

= 1

So, Greatest Common Divisor of 133, 245, 400, 171 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 222, 143, 163, 661
• GCD of 978, 617, 526, 283
• GCD of 118, 213, 693, 505
• GCD of 111, 361, 642, 847
• GCD of 882, 890, 980, 145

Given numbers are 133, 245, 400, 171
The greatest common divisor of numbers 133, 245, 400, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 133, 245, 400, 171 is 1.

1. What is the GCD of 133, 245, 400, 171?

GCD of given numbers 133, 245, 400, 171 is 1

2. How to calculate the greatest common divisor of 133, 245, 400, 171?

We can find the highest common divisor of 133, 245, 400, 171 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 133, 245, 400, 171 i.e 1.

3. How can I use the GCD of 133, 245, 400, 171Calculator?

Out the numbers 133, 245, 400, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.