GCD of 112, 892, 965, 116 Calculator

Given Input numbers are 112, 892, 965, 116

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 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

GCD of numbers is the greatest common divisor

So, the GCD (112, 892, 965, 116) = 1.

Given numbers are 112, 892, 965, 116

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 892 are 2 x 2 x 223

Prime factors of 965 are 5 x 193

Prime factors of 116 are 2 x 2 x 29

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

Given numbers are 112, 892, 965, 116

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

Apply this formula for all numbers.

Step1:

LCM(112, 892) = 24976

GCD(112, 892) = ( 112 x 892 ) / 24976

= 112 / 892

= 112

Step2:

LCM(4, 965) = 3860

GCD(4, 965) = ( 4 x 965 ) / 3860

= 4 / 965

= 4

Step3:

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

= 1 / 116

= 1

So, Greatest Common Divisor of 112, 892, 965, 116 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 413, 263, 888, 972
• GCD of 549, 481, 708, 784
• GCD of 400, 635, 254, 318
• GCD of 282, 905, 902, 240
• GCD of 215, 874, 755, 176

Given numbers are 112, 892, 965, 116
The greatest common divisor of numbers 112, 892, 965, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 892, 965, 116 is 1.

1. What is the GCD of 112, 892, 965, 116?

GCD of given numbers 112, 892, 965, 116 is 1

2. How to calculate the greatest common divisor of 112, 892, 965, 116?

We can find the highest common divisor of 112, 892, 965, 116 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, 892, 965, 116 i.e 1.

3. How can I use the GCD of 112, 892, 965, 116Calculator?

Out the numbers 112, 892, 965, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.