GCD of 971, 448, 772, 145 Calculator

Given Input numbers are 971, 448, 772, 145

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 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 772 :

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

1, 2, 4, 193, 386, 772

Divisors of 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145

GCD of numbers is the greatest common divisor

So, the GCD (971, 448, 772, 145) = 1.

Given numbers are 971, 448, 772, 145

The list of prime factors of all numbers are

Prime factors of 971 are 971

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 772 are 2 x 2 x 193

Prime factors of 145 are 5 x 29

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

Given numbers are 971, 448, 772, 145

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

Apply this formula for all numbers.

Step1:

LCM(971, 448) = 435008

GCD(971, 448) = ( 971 x 448 ) / 435008

= 971 / 448

= 971

Step2:

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

= 1 / 772

= 1

Step3:

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

= 1 / 145

= 1

So, Greatest Common Divisor of 971, 448, 772, 145 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 205, 808, 256, 409
• GCD of 735, 330, 256, 419
• GCD of 771, 872, 224, 118
• GCD of 419, 380, 242, 973
• GCD of 846, 707, 194, 204

Given numbers are 971, 448, 772, 145
The greatest common divisor of numbers 971, 448, 772, 145 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 971, 448, 772, 145 is 1.

1. What is the GCD of 971, 448, 772, 145?

GCD of given numbers 971, 448, 772, 145 is 1

2. How to calculate the greatest common divisor of 971, 448, 772, 145?

We can find the highest common divisor of 971, 448, 772, 145 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, 448, 772, 145 i.e 1.

3. How can I use the GCD of 971, 448, 772, 145Calculator?

Out the numbers 971, 448, 772, 145 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.