GCD of 971, 484, 420, 745 Calculator

Given Input numbers are 971, 484, 420, 745

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 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

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 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

GCD of numbers is the greatest common divisor

So, the GCD (971, 484, 420, 745) = 1.

Given numbers are 971, 484, 420, 745

The list of prime factors of all numbers are

Prime factors of 971 are 971

Prime factors of 484 are 2 x 2 x 11 x 11

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

Prime factors of 745 are 5 x 149

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

Given numbers are 971, 484, 420, 745

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

Apply this formula for all numbers.

Step1:

LCM(971, 484) = 469964

GCD(971, 484) = ( 971 x 484 ) / 469964

= 971 / 484

= 971

Step2:

LCM(1, 420) = 420

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

= 1 / 420

= 1

Step3:

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

= 1 / 745

= 1

So, Greatest Common Divisor of 971, 484, 420, 745 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 213, 376, 693, 811
• GCD of 769, 782, 345, 759
• GCD of 152, 140, 826, 357
• GCD of 706, 764, 884, 119
• GCD of 691, 195, 112, 513

Given numbers are 971, 484, 420, 745
The greatest common divisor of numbers 971, 484, 420, 745 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 971, 484, 420, 745 is 1.

1. What is the GCD of 971, 484, 420, 745?

GCD of given numbers 971, 484, 420, 745 is 1

2. How to calculate the greatest common divisor of 971, 484, 420, 745?

We can find the highest common divisor of 971, 484, 420, 745 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, 484, 420, 745 i.e 1.

3. How can I use the GCD of 971, 484, 420, 745Calculator?

Out the numbers 971, 484, 420, 745 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.