GCD of 170, 112, 976, 674 Calculator

Given Input numbers are 170, 112, 976, 674

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

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

GCD of numbers is the greatest common divisor

So, the GCD (170, 112, 976, 674) = 2.

Given numbers are 170, 112, 976, 674

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 674 are 2 x 337

The highest common occurrence is 2¹

Therefore, GCD of 170, 112, 976, 674 is 2.

Given numbers are 170, 112, 976, 674

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

Apply this formula for all numbers.

Step1:

LCM(170, 112) = 9520

GCD(170, 112) = ( 170 x 112 ) / 9520

= 170 / 112

= 170

Step2:

LCM(2, 976) = 976

GCD(2, 976) = ( 2 x 976 ) / 976

= 2 / 976

= 2

Step3:

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

= 2 / 674

= 2

So, Greatest Common Divisor of 170, 112, 976, 674 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 940, 142, 313, 307
• GCD of 267, 168, 536, 395
• GCD of 236, 437, 739, 203
• GCD of 838, 432, 544, 269
• GCD of 734, 108, 489, 502

Given numbers are 170, 112, 976, 674
The greatest common divisor of numbers 170, 112, 976, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 112, 976, 674 is 2.

1. What is the GCD of 170, 112, 976, 674?

GCD of given numbers 170, 112, 976, 674 is 2

2. How to calculate the greatest common divisor of 170, 112, 976, 674?

We can find the highest common divisor of 170, 112, 976, 674 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 170, 112, 976, 674 i.e 2.

3. How can I use the GCD of 170, 112, 976, 674Calculator?

Out the numbers 170, 112, 976, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.