GCD of 134, 176, 682, 226 Calculator

Given Input numbers are 134, 176, 682, 226

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

Divisors of 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

GCD of numbers is the greatest common divisor

So, the GCD (134, 176, 682, 226) = 2.

Given numbers are 134, 176, 682, 226

The list of prime factors of all numbers are

Prime factors of 134 are 2 x 67

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

Prime factors of 682 are 2 x 11 x 31

Prime factors of 226 are 2 x 113

The highest common occurrence is 2¹

Therefore, GCD of 134, 176, 682, 226 is 2.

Given numbers are 134, 176, 682, 226

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

Apply this formula for all numbers.

Step1:

LCM(134, 176) = 11792

GCD(134, 176) = ( 134 x 176 ) / 11792

= 134 / 176

= 134

Step2:

LCM(2, 682) = 682

GCD(2, 682) = ( 2 x 682 ) / 682

= 2 / 682

= 2

Step3:

LCM(2, 226) = 226

GCD(2, 226) = ( 2 x 226 ) / 226

= 2 / 226

= 2

So, Greatest Common Divisor of 134, 176, 682, 226 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 156, 375, 496, 587
• GCD of 629, 164, 379, 297
• GCD of 272, 705, 260, 674
• GCD of 218, 175, 877, 524
• GCD of 701, 237, 850, 914

Given numbers are 134, 176, 682, 226
The greatest common divisor of numbers 134, 176, 682, 226 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 176, 682, 226 is 2.

1. What is the GCD of 134, 176, 682, 226?

GCD of given numbers 134, 176, 682, 226 is 2

2. How to calculate the greatest common divisor of 134, 176, 682, 226?

We can find the highest common divisor of 134, 176, 682, 226 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 134, 176, 682, 226 i.e 2.

3. How can I use the GCD of 134, 176, 682, 226Calculator?

Out the numbers 134, 176, 682, 226 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.