GCD of 984, 354, 798, 135 Calculator

Given Input numbers are 984, 354, 798, 135

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 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

GCD of numbers is the greatest common divisor

So, the GCD (984, 354, 798, 135) = 3.

Given numbers are 984, 354, 798, 135

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 354 are 2 x 3 x 59

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 135 are 3 x 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 984, 354, 798, 135 is 3.

Given numbers are 984, 354, 798, 135

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

Apply this formula for all numbers.

Step1:

LCM(984, 354) = 58056

GCD(984, 354) = ( 984 x 354 ) / 58056

= 984 / 354

= 984

Step2:

LCM(6, 798) = 798

GCD(6, 798) = ( 6 x 798 ) / 798

= 6 / 798

= 6

Step3:

LCM(6, 135) = 270

GCD(6, 135) = ( 6 x 135 ) / 270

= 6 / 135

= 6

So, Greatest Common Divisor of 984, 354, 798, 135 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 228, 773, 342, 931
• GCD of 621, 776, 883, 198
• GCD of 707, 296, 171, 415
• GCD of 799, 457, 882, 721
• GCD of 288, 472, 244, 291

Given numbers are 984, 354, 798, 135
The greatest common divisor of numbers 984, 354, 798, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 354, 798, 135 is 3.

1. What is the GCD of 984, 354, 798, 135?

GCD of given numbers 984, 354, 798, 135 is 3

2. How to calculate the greatest common divisor of 984, 354, 798, 135?

We can find the highest common divisor of 984, 354, 798, 135 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, 354, 798, 135 i.e 3.

3. How can I use the GCD of 984, 354, 798, 135Calculator?

Out the numbers 984, 354, 798, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.