GCD of 144, 112, 697, 847 Calculator

Given Input numbers are 144, 112, 697, 847

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

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

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 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

Divisors of 847 :

The positive integer divisors of 847 that completely divides 847 are.

1, 7, 11, 77, 121, 847

GCD of numbers is the greatest common divisor

So, the GCD (144, 112, 697, 847) = 1.

Given numbers are 144, 112, 697, 847

The list of prime factors of all numbers are

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

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

Prime factors of 697 are 17 x 41

Prime factors of 847 are 7 x 11 x 11

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

Given numbers are 144, 112, 697, 847

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

Apply this formula for all numbers.

Step1:

LCM(144, 112) = 1008

GCD(144, 112) = ( 144 x 112 ) / 1008

= 144 / 112

= 144

Step2:

LCM(16, 697) = 11152

GCD(16, 697) = ( 16 x 697 ) / 11152

= 16 / 697

= 16

Step3:

LCM(1, 847) = 847

GCD(1, 847) = ( 1 x 847 ) / 847

= 1 / 847

= 1

So, Greatest Common Divisor of 144, 112, 697, 847 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 485, 504, 988, 554
• GCD of 747, 487, 953, 592
• GCD of 457, 298, 377, 873
• GCD of 915, 663, 209, 198
• GCD of 411, 152, 735, 770

Given numbers are 144, 112, 697, 847
The greatest common divisor of numbers 144, 112, 697, 847 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 112, 697, 847 is 1.

1. What is the GCD of 144, 112, 697, 847?

GCD of given numbers 144, 112, 697, 847 is 1

2. How to calculate the greatest common divisor of 144, 112, 697, 847?

We can find the highest common divisor of 144, 112, 697, 847 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 144, 112, 697, 847 i.e 1.

3. How can I use the GCD of 144, 112, 697, 847Calculator?

Out the numbers 144, 112, 697, 847 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.