GCD of 971, 120, 814, 290 Calculator

Given Input numbers are 971, 120, 814, 290

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 120 :

The positive integer divisors of 120 that completely divides 120 are.

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

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

GCD of numbers is the greatest common divisor

So, the GCD (971, 120, 814, 290) = 1.

Given numbers are 971, 120, 814, 290

The list of prime factors of all numbers are

Prime factors of 971 are 971

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 814 are 2 x 11 x 37

Prime factors of 290 are 2 x 5 x 29

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

Given numbers are 971, 120, 814, 290

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

Apply this formula for all numbers.

Step1:

LCM(971, 120) = 116520

GCD(971, 120) = ( 971 x 120 ) / 116520

= 971 / 120

= 971

Step2:

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

= 1 / 814

= 1

Step3:

LCM(1, 290) = 290

GCD(1, 290) = ( 1 x 290 ) / 290

= 1 / 290

= 1

So, Greatest Common Divisor of 971, 120, 814, 290 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 902, 876, 399, 113
• GCD of 672, 232, 935, 179
• GCD of 552, 933, 827, 245
• GCD of 499, 152, 836, 968
• GCD of 703, 414, 777, 193

Given numbers are 971, 120, 814, 290
The greatest common divisor of numbers 971, 120, 814, 290 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 971, 120, 814, 290 is 1.

1. What is the GCD of 971, 120, 814, 290?

GCD of given numbers 971, 120, 814, 290 is 1

2. How to calculate the greatest common divisor of 971, 120, 814, 290?

We can find the highest common divisor of 971, 120, 814, 290 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, 120, 814, 290 i.e 1.

3. How can I use the GCD of 971, 120, 814, 290Calculator?

Out the numbers 971, 120, 814, 290 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.