GCD of 289, 802, 980, 120 Calculator

Given Input numbers are 289, 802, 980, 120

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

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

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

GCD of numbers is the greatest common divisor

So, the GCD (289, 802, 980, 120) = 1.

Given numbers are 289, 802, 980, 120

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

Prime factors of 802 are 2 x 401

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 120 are 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 289, 802, 980, 120

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

Apply this formula for all numbers.

Step1:

LCM(289, 802) = 231778

GCD(289, 802) = ( 289 x 802 ) / 231778

= 289 / 802

= 289

Step2:

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

= 1 / 980

= 1

Step3:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

So, Greatest Common Divisor of 289, 802, 980, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 655, 931, 422, 278
• GCD of 863, 197, 136, 937
• GCD of 196, 325, 637, 178
• GCD of 378, 518, 924, 402
• GCD of 926, 978, 557, 461

Given numbers are 289, 802, 980, 120
The greatest common divisor of numbers 289, 802, 980, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 802, 980, 120 is 1.

1. What is the GCD of 289, 802, 980, 120?

GCD of given numbers 289, 802, 980, 120 is 1

2. How to calculate the greatest common divisor of 289, 802, 980, 120?

We can find the highest common divisor of 289, 802, 980, 120 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 289, 802, 980, 120 i.e 1.

3. How can I use the GCD of 289, 802, 980, 120Calculator?

Out the numbers 289, 802, 980, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.