GCD of 224, 175, 314, 220 Calculator

Given Input numbers are 224, 175, 314, 220

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 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

GCD of numbers is the greatest common divisor

So, the GCD (224, 175, 314, 220) = 1.

Given numbers are 224, 175, 314, 220

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 175 are 5 x 5 x 7

Prime factors of 314 are 2 x 157

Prime factors of 220 are 2 x 2 x 5 x 11

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

Given numbers are 224, 175, 314, 220

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

Apply this formula for all numbers.

Step1:

LCM(224, 175) = 5600

GCD(224, 175) = ( 224 x 175 ) / 5600

= 224 / 175

= 224

Step2:

LCM(7, 314) = 2198

GCD(7, 314) = ( 7 x 314 ) / 2198

= 7 / 314

= 7

Step3:

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

= 1 / 220

= 1

So, Greatest Common Divisor of 224, 175, 314, 220 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 633, 401, 491, 299
• GCD of 158, 231, 108, 476
• GCD of 211, 123, 662, 298
• GCD of 493, 346, 159, 903
• GCD of 150, 529, 198, 494

Given numbers are 224, 175, 314, 220
The greatest common divisor of numbers 224, 175, 314, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 175, 314, 220 is 1.

1. What is the GCD of 224, 175, 314, 220?

GCD of given numbers 224, 175, 314, 220 is 1

2. How to calculate the greatest common divisor of 224, 175, 314, 220?

We can find the highest common divisor of 224, 175, 314, 220 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, 175, 314, 220 i.e 1.

3. How can I use the GCD of 224, 175, 314, 220Calculator?

Out the numbers 224, 175, 314, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.