GCD of 654, 428, 224, 705 Calculator

Given Input numbers are 654, 428, 224, 705

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

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

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 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

GCD of numbers is the greatest common divisor

So, the GCD (654, 428, 224, 705) = 1.

Given numbers are 654, 428, 224, 705

The list of prime factors of all numbers are

Prime factors of 654 are 2 x 3 x 109

Prime factors of 428 are 2 x 2 x 107

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

Prime factors of 705 are 3 x 5 x 47

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

Given numbers are 654, 428, 224, 705

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

Apply this formula for all numbers.

Step1:

LCM(654, 428) = 139956

GCD(654, 428) = ( 654 x 428 ) / 139956

= 654 / 428

= 654

Step2:

LCM(2, 224) = 224

GCD(2, 224) = ( 2 x 224 ) / 224

= 2 / 224

= 2

Step3:

LCM(2, 705) = 1410

GCD(2, 705) = ( 2 x 705 ) / 1410

= 2 / 705

= 2

So, Greatest Common Divisor of 654, 428, 224, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 858, 158, 710, 176
• GCD of 780, 615, 243, 231
• GCD of 838, 576, 281, 333
• GCD of 112, 886, 484, 915
• GCD of 566, 780, 117, 439

Given numbers are 654, 428, 224, 705
The greatest common divisor of numbers 654, 428, 224, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 428, 224, 705 is 1.

1. What is the GCD of 654, 428, 224, 705?

GCD of given numbers 654, 428, 224, 705 is 1

2. How to calculate the greatest common divisor of 654, 428, 224, 705?

We can find the highest common divisor of 654, 428, 224, 705 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 654, 428, 224, 705 i.e 1.

3. How can I use the GCD of 654, 428, 224, 705Calculator?

Out the numbers 654, 428, 224, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.