GCD of 112, 670, 729, 976 Calculator

Given Input numbers are 112, 670, 729, 976

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

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 670 :

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

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

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

Divisors of 976 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (112, 670, 729, 976) = 1.

Given numbers are 112, 670, 729, 976

The list of prime factors of all numbers are

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

Prime factors of 670 are 2 x 5 x 67

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 112, 670, 729, 976

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

Apply this formula for all numbers.

Step1:

LCM(112, 670) = 37520

GCD(112, 670) = ( 112 x 670 ) / 37520

= 112 / 670

= 112

Step2:

LCM(2, 729) = 1458

GCD(2, 729) = ( 2 x 729 ) / 1458

= 2 / 729

= 2

Step3:

LCM(1, 976) = 976

GCD(1, 976) = ( 1 x 976 ) / 976

= 1 / 976

= 1

So, Greatest Common Divisor of 112, 670, 729, 976 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 652, 604, 799, 905
• GCD of 118, 784, 120, 983
• GCD of 453, 508, 366, 144
• GCD of 168, 543, 526, 795
• GCD of 793, 254, 498, 963

Given numbers are 112, 670, 729, 976
The greatest common divisor of numbers 112, 670, 729, 976 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 670, 729, 976 is 1.

1. What is the GCD of 112, 670, 729, 976?

GCD of given numbers 112, 670, 729, 976 is 1

2. How to calculate the greatest common divisor of 112, 670, 729, 976?

We can find the highest common divisor of 112, 670, 729, 976 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 112, 670, 729, 976 i.e 1.

3. How can I use the GCD of 112, 670, 729, 976Calculator?

Out the numbers 112, 670, 729, 976 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.