GCD of 971, 772, 421, 172 Calculator

Given Input numbers are 971, 772, 421, 172

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

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (971, 772, 421, 172) = 1.

Given numbers are 971, 772, 421, 172

The list of prime factors of all numbers are

Prime factors of 971 are 971

Prime factors of 772 are 2 x 2 x 193

Prime factors of 421 are 421

Prime factors of 172 are 2 x 2 x 43

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

Given numbers are 971, 772, 421, 172

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

Apply this formula for all numbers.

Step1:

LCM(971, 772) = 749612

GCD(971, 772) = ( 971 x 772 ) / 749612

= 971 / 772

= 971

Step2:

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

= 1 / 421

= 1

Step3:

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

= 1 / 172

= 1

So, Greatest Common Divisor of 971, 772, 421, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 354, 562, 205, 801
• GCD of 643, 919, 547, 114
• GCD of 345, 899, 784, 194
• GCD of 641, 908, 722, 898
• GCD of 521, 881, 525, 561

Given numbers are 971, 772, 421, 172
The greatest common divisor of numbers 971, 772, 421, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 971, 772, 421, 172 is 1.

1. What is the GCD of 971, 772, 421, 172?

GCD of given numbers 971, 772, 421, 172 is 1

2. How to calculate the greatest common divisor of 971, 772, 421, 172?

We can find the highest common divisor of 971, 772, 421, 172 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 971, 772, 421, 172 i.e 1.

3. How can I use the GCD of 971, 772, 421, 172Calculator?

Out the numbers 971, 772, 421, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.