GCD of 971, 826, 187, 420 Calculator

Given Input numbers are 971, 826, 187, 420

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 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 187 :

The positive integer divisors of 187 that completely divides 187 are.

1, 11, 17, 187

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (971, 826, 187, 420) = 1.

Given numbers are 971, 826, 187, 420

The list of prime factors of all numbers are

Prime factors of 971 are 971

Prime factors of 826 are 2 x 7 x 59

Prime factors of 187 are 11 x 17

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Given numbers are 971, 826, 187, 420

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

Apply this formula for all numbers.

Step1:

LCM(971, 826) = 802046

GCD(971, 826) = ( 971 x 826 ) / 802046

= 971 / 826

= 971

Step2:

LCM(1, 187) = 187

GCD(1, 187) = ( 1 x 187 ) / 187

= 1 / 187

= 1

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 971, 826, 187, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 448, 686, 990, 328
• GCD of 422, 800, 282, 342
• GCD of 685, 421, 383, 834
• GCD of 178, 286, 667, 122
• GCD of 898, 172, 542, 727

Given numbers are 971, 826, 187, 420
The greatest common divisor of numbers 971, 826, 187, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 971, 826, 187, 420 is 1.

1. What is the GCD of 971, 826, 187, 420?

GCD of given numbers 971, 826, 187, 420 is 1

2. How to calculate the greatest common divisor of 971, 826, 187, 420?

We can find the highest common divisor of 971, 826, 187, 420 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, 826, 187, 420 i.e 1.

3. How can I use the GCD of 971, 826, 187, 420Calculator?

Out the numbers 971, 826, 187, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.