GCD of 461, 500, 966, 141 Calculator

Given Input numbers are 461, 500, 966, 141

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

Divisors of 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141

GCD of numbers is the greatest common divisor

So, the GCD (461, 500, 966, 141) = 1.

Given numbers are 461, 500, 966, 141

The list of prime factors of all numbers are

Prime factors of 461 are 461

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 141 are 3 x 47

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

Given numbers are 461, 500, 966, 141

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

Apply this formula for all numbers.

Step1:

LCM(461, 500) = 230500

GCD(461, 500) = ( 461 x 500 ) / 230500

= 461 / 500

= 461

Step2:

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

= 1 / 966

= 1

Step3:

LCM(1, 141) = 141

GCD(1, 141) = ( 1 x 141 ) / 141

= 1 / 141

= 1

So, Greatest Common Divisor of 461, 500, 966, 141 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 649, 112, 275, 732
• GCD of 344, 373, 400, 621
• GCD of 626, 425, 427, 621
• GCD of 234, 673, 956, 665
• GCD of 738, 826, 999, 919

Given numbers are 461, 500, 966, 141
The greatest common divisor of numbers 461, 500, 966, 141 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 461, 500, 966, 141 is 1.

1. What is the GCD of 461, 500, 966, 141?

GCD of given numbers 461, 500, 966, 141 is 1

2. How to calculate the greatest common divisor of 461, 500, 966, 141?

We can find the highest common divisor of 461, 500, 966, 141 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 461, 500, 966, 141 i.e 1.

3. How can I use the GCD of 461, 500, 966, 141Calculator?

Out the numbers 461, 500, 966, 141 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.