GCD of 969, 891, 501, 120 Calculator

Given Input numbers are 969, 891, 501, 120

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

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

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 (969, 891, 501, 120) = 3.

Given numbers are 969, 891, 501, 120

The list of prime factors of all numbers are

Prime factors of 969 are 3 x 17 x 19

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

Prime factors of 501 are 3 x 167

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

The highest common occurrence is 3¹

Therefore, GCD of 969, 891, 501, 120 is 3.

Given numbers are 969, 891, 501, 120

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

Apply this formula for all numbers.

Step1:

LCM(969, 891) = 287793

GCD(969, 891) = ( 969 x 891 ) / 287793

= 969 / 891

= 969

Step2:

LCM(3, 501) = 501

GCD(3, 501) = ( 3 x 501 ) / 501

= 3 / 501

= 3

Step3:

LCM(3, 120) = 120

GCD(3, 120) = ( 3 x 120 ) / 120

= 3 / 120

= 3

So, Greatest Common Divisor of 969, 891, 501, 120 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 735, 552, 537, 299
• GCD of 550, 838, 130, 601
• GCD of 164, 557, 337, 390
• GCD of 853, 462, 939, 736
• GCD of 254, 190, 838, 449

Given numbers are 969, 891, 501, 120
The greatest common divisor of numbers 969, 891, 501, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 891, 501, 120 is 3.

1. What is the GCD of 969, 891, 501, 120?

GCD of given numbers 969, 891, 501, 120 is 3

2. How to calculate the greatest common divisor of 969, 891, 501, 120?

We can find the highest common divisor of 969, 891, 501, 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 969, 891, 501, 120 i.e 3.

3. How can I use the GCD of 969, 891, 501, 120Calculator?

Out the numbers 969, 891, 501, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.