GCD of 420, 921, 971, 871 Calculator

Given Input numbers are 420, 921, 971, 871

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

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

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 971 :

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

1, 971

Divisors of 871 :

The positive integer divisors of 871 that completely divides 871 are.

1, 13, 67, 871

GCD of numbers is the greatest common divisor

So, the GCD (420, 921, 971, 871) = 1.

Given numbers are 420, 921, 971, 871

The list of prime factors of all numbers are

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

Prime factors of 921 are 3 x 307

Prime factors of 971 are 971

Prime factors of 871 are 13 x 67

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

Given numbers are 420, 921, 971, 871

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

Apply this formula for all numbers.

Step1:

LCM(420, 921) = 128940

GCD(420, 921) = ( 420 x 921 ) / 128940

= 420 / 921

= 420

Step2:

LCM(3, 971) = 2913

GCD(3, 971) = ( 3 x 971 ) / 2913

= 3 / 971

= 3

Step3:

LCM(1, 871) = 871

GCD(1, 871) = ( 1 x 871 ) / 871

= 1 / 871

= 1

So, Greatest Common Divisor of 420, 921, 971, 871 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 283, 694, 272, 325
• GCD of 468, 663, 354, 557
• GCD of 981, 781, 916, 135
• GCD of 923, 147, 738, 984
• GCD of 124, 552, 581, 805

Given numbers are 420, 921, 971, 871
The greatest common divisor of numbers 420, 921, 971, 871 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 921, 971, 871 is 1.

1. What is the GCD of 420, 921, 971, 871?

GCD of given numbers 420, 921, 971, 871 is 1

2. How to calculate the greatest common divisor of 420, 921, 971, 871?

We can find the highest common divisor of 420, 921, 971, 871 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 420, 921, 971, 871 i.e 1.

3. How can I use the GCD of 420, 921, 971, 871Calculator?

Out the numbers 420, 921, 971, 871 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.