GCD of 984, 954, 860, 120 Calculator

Given Input numbers are 984, 954, 860, 120

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

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 860 :

The positive integer divisors of 860 that completely divides 860 are.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

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 (984, 954, 860, 120) = 2.

Given numbers are 984, 954, 860, 120

The list of prime factors of all numbers are

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 954 are 2 x 3 x 3 x 53

Prime factors of 860 are 2 x 2 x 5 x 43

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

The highest common occurrence is 2¹

Therefore, GCD of 984, 954, 860, 120 is 2.

Given numbers are 984, 954, 860, 120

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

Apply this formula for all numbers.

Step1:

LCM(984, 954) = 156456

GCD(984, 954) = ( 984 x 954 ) / 156456

= 984 / 954

= 984

Step2:

LCM(6, 860) = 2580

GCD(6, 860) = ( 6 x 860 ) / 2580

= 6 / 860

= 6

Step3:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

So, Greatest Common Divisor of 984, 954, 860, 120 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 798, 888, 617, 754
• GCD of 799, 565, 151, 546
• GCD of 415, 995, 390, 551
• GCD of 411, 382, 196, 692
• GCD of 563, 667, 734, 658

Given numbers are 984, 954, 860, 120
The greatest common divisor of numbers 984, 954, 860, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 954, 860, 120 is 2.

1. What is the GCD of 984, 954, 860, 120?

GCD of given numbers 984, 954, 860, 120 is 2

2. How to calculate the greatest common divisor of 984, 954, 860, 120?

We can find the highest common divisor of 984, 954, 860, 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 984, 954, 860, 120 i.e 2.

3. How can I use the GCD of 984, 954, 860, 120Calculator?

Out the numbers 984, 954, 860, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.