GCD of 224, 497, 112, 118 Calculator

Given Input numbers are 224, 497, 112, 118

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

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497

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 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

GCD of numbers is the greatest common divisor

So, the GCD (224, 497, 112, 118) = 1.

Given numbers are 224, 497, 112, 118

The list of prime factors of all numbers are

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 497 are 7 x 71

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

Prime factors of 118 are 2 x 59

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

Given numbers are 224, 497, 112, 118

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

Apply this formula for all numbers.

Step1:

LCM(224, 497) = 15904

GCD(224, 497) = ( 224 x 497 ) / 15904

= 224 / 497

= 224

Step2:

LCM(7, 112) = 112

GCD(7, 112) = ( 7 x 112 ) / 112

= 7 / 112

= 7

Step3:

LCM(7, 118) = 826

GCD(7, 118) = ( 7 x 118 ) / 826

= 7 / 118

= 7

So, Greatest Common Divisor of 224, 497, 112, 118 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 942, 710, 206, 793
• GCD of 180, 254, 395, 581
• GCD of 311, 947, 286, 989
• GCD of 852, 697, 392, 682
• GCD of 556, 259, 697, 715

Given numbers are 224, 497, 112, 118
The greatest common divisor of numbers 224, 497, 112, 118 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 497, 112, 118 is 1.

1. What is the GCD of 224, 497, 112, 118?

GCD of given numbers 224, 497, 112, 118 is 1

2. How to calculate the greatest common divisor of 224, 497, 112, 118?

We can find the highest common divisor of 224, 497, 112, 118 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 224, 497, 112, 118 i.e 1.

3. How can I use the GCD of 224, 497, 112, 118Calculator?

Out the numbers 224, 497, 112, 118 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.