GCD of 174, 142, 984, 764 Calculator

Given Input numbers are 174, 142, 984, 764

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

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

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 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

GCD of numbers is the greatest common divisor

So, the GCD (174, 142, 984, 764) = 2.

Given numbers are 174, 142, 984, 764

The list of prime factors of all numbers are

Prime factors of 174 are 2 x 3 x 29

Prime factors of 142 are 2 x 71

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

Prime factors of 764 are 2 x 2 x 191

The highest common occurrence is 2¹

Therefore, GCD of 174, 142, 984, 764 is 2.

Given numbers are 174, 142, 984, 764

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

Apply this formula for all numbers.

Step1:

LCM(174, 142) = 12354

GCD(174, 142) = ( 174 x 142 ) / 12354

= 174 / 142

= 174

Step2:

LCM(2, 984) = 984

GCD(2, 984) = ( 2 x 984 ) / 984

= 2 / 984

= 2

Step3:

LCM(2, 764) = 764

GCD(2, 764) = ( 2 x 764 ) / 764

= 2 / 764

= 2

So, Greatest Common Divisor of 174, 142, 984, 764 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 608, 240, 892, 465
• GCD of 603, 986, 214, 593
• GCD of 500, 172, 552, 748
• GCD of 353, 969, 573, 208
• GCD of 812, 174, 132, 117

Given numbers are 174, 142, 984, 764
The greatest common divisor of numbers 174, 142, 984, 764 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 142, 984, 764 is 2.

1. What is the GCD of 174, 142, 984, 764?

GCD of given numbers 174, 142, 984, 764 is 2

2. How to calculate the greatest common divisor of 174, 142, 984, 764?

We can find the highest common divisor of 174, 142, 984, 764 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 174, 142, 984, 764 i.e 2.

3. How can I use the GCD of 174, 142, 984, 764Calculator?

Out the numbers 174, 142, 984, 764 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.