GCD of 971, 872, 398, 240 Calculator

Given Input numbers are 971, 872, 398, 240

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 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

GCD of numbers is the greatest common divisor

So, the GCD (971, 872, 398, 240) = 1.

Given numbers are 971, 872, 398, 240

The list of prime factors of all numbers are

Prime factors of 971 are 971

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 398 are 2 x 199

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

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

Given numbers are 971, 872, 398, 240

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

Apply this formula for all numbers.

Step1:

LCM(971, 872) = 846712

GCD(971, 872) = ( 971 x 872 ) / 846712

= 971 / 872

= 971

Step2:

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

= 1 / 398

= 1

Step3:

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

= 1 / 240

= 1

So, Greatest Common Divisor of 971, 872, 398, 240 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 397, 476, 880, 201
• GCD of 556, 259, 803, 349
• GCD of 536, 949, 106, 844
• GCD of 506, 725, 659, 592
• GCD of 507, 818, 540, 535

Given numbers are 971, 872, 398, 240
The greatest common divisor of numbers 971, 872, 398, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 971, 872, 398, 240 is 1.

1. What is the GCD of 971, 872, 398, 240?

GCD of given numbers 971, 872, 398, 240 is 1

2. How to calculate the greatest common divisor of 971, 872, 398, 240?

We can find the highest common divisor of 971, 872, 398, 240 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, 872, 398, 240 i.e 1.

3. How can I use the GCD of 971, 872, 398, 240Calculator?

Out the numbers 971, 872, 398, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.