GCD of 130, 670, 164, 212 Calculator

Given Input numbers are 130, 670, 164, 212

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

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 670 :

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

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

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

GCD of numbers is the greatest common divisor

So, the GCD (130, 670, 164, 212) = 2.

Given numbers are 130, 670, 164, 212

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 670 are 2 x 5 x 67

Prime factors of 164 are 2 x 2 x 41

Prime factors of 212 are 2 x 2 x 53

The highest common occurrence is 2¹

Therefore, GCD of 130, 670, 164, 212 is 2.

Given numbers are 130, 670, 164, 212

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

Apply this formula for all numbers.

Step1:

LCM(130, 670) = 8710

GCD(130, 670) = ( 130 x 670 ) / 8710

= 130 / 670

= 130

Step2:

LCM(10, 164) = 820

GCD(10, 164) = ( 10 x 164 ) / 820

= 10 / 164

= 10

Step3:

LCM(2, 212) = 212

GCD(2, 212) = ( 2 x 212 ) / 212

= 2 / 212

= 2

So, Greatest Common Divisor of 130, 670, 164, 212 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 254, 997, 676, 317
• GCD of 518, 914, 300, 101
• GCD of 219, 703, 626, 135
• GCD of 141, 587, 399, 987
• GCD of 271, 462, 561, 234

Given numbers are 130, 670, 164, 212
The greatest common divisor of numbers 130, 670, 164, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 670, 164, 212 is 2.

1. What is the GCD of 130, 670, 164, 212?

GCD of given numbers 130, 670, 164, 212 is 2

2. How to calculate the greatest common divisor of 130, 670, 164, 212?

We can find the highest common divisor of 130, 670, 164, 212 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 130, 670, 164, 212 i.e 2.

3. How can I use the GCD of 130, 670, 164, 212Calculator?

Out the numbers 130, 670, 164, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.