GCD of 670, 508, 284, 178 Calculator

Given Input numbers are 670, 508, 284, 178

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

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

GCD of numbers is the greatest common divisor

So, the GCD (670, 508, 284, 178) = 2.

Given numbers are 670, 508, 284, 178

The list of prime factors of all numbers are

Prime factors of 670 are 2 x 5 x 67

Prime factors of 508 are 2 x 2 x 127

Prime factors of 284 are 2 x 2 x 71

Prime factors of 178 are 2 x 89

The highest common occurrence is 2¹

Therefore, GCD of 670, 508, 284, 178 is 2.

Given numbers are 670, 508, 284, 178

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

Apply this formula for all numbers.

Step1:

LCM(670, 508) = 170180

GCD(670, 508) = ( 670 x 508 ) / 170180

= 670 / 508

= 670

Step2:

LCM(2, 284) = 284

GCD(2, 284) = ( 2 x 284 ) / 284

= 2 / 284

= 2

Step3:

LCM(2, 178) = 178

GCD(2, 178) = ( 2 x 178 ) / 178

= 2 / 178

= 2

So, Greatest Common Divisor of 670, 508, 284, 178 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 625, 390, 766, 761
• GCD of 484, 869, 495, 485
• GCD of 836, 249, 174, 198
• GCD of 161, 963, 663, 564
• GCD of 907, 602, 981, 102

Given numbers are 670, 508, 284, 178
The greatest common divisor of numbers 670, 508, 284, 178 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 670, 508, 284, 178 is 2.

1. What is the GCD of 670, 508, 284, 178?

GCD of given numbers 670, 508, 284, 178 is 2

2. How to calculate the greatest common divisor of 670, 508, 284, 178?

We can find the highest common divisor of 670, 508, 284, 178 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 670, 508, 284, 178 i.e 2.

3. How can I use the GCD of 670, 508, 284, 178Calculator?

Out the numbers 670, 508, 284, 178 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.