GCD of 672, 110, 614, 314 Calculator

Given Input numbers are 672, 110, 614, 314

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

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 314 :

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

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (672, 110, 614, 314) = 2.

Given numbers are 672, 110, 614, 314

The list of prime factors of all numbers are

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 110 are 2 x 5 x 11

Prime factors of 614 are 2 x 307

Prime factors of 314 are 2 x 157

The highest common occurrence is 2¹

Therefore, GCD of 672, 110, 614, 314 is 2.

Given numbers are 672, 110, 614, 314

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

Apply this formula for all numbers.

Step1:

LCM(672, 110) = 36960

GCD(672, 110) = ( 672 x 110 ) / 36960

= 672 / 110

= 672

Step2:

LCM(2, 614) = 614

GCD(2, 614) = ( 2 x 614 ) / 614

= 2 / 614

= 2

Step3:

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

= 2 / 314

= 2

So, Greatest Common Divisor of 672, 110, 614, 314 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 616, 662, 197, 108
• GCD of 737, 597, 961, 595
• GCD of 528, 487, 997, 508
• GCD of 151, 598, 371, 269
• GCD of 569, 348, 406, 249

Given numbers are 672, 110, 614, 314
The greatest common divisor of numbers 672, 110, 614, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 110, 614, 314 is 2.

1. What is the GCD of 672, 110, 614, 314?

GCD of given numbers 672, 110, 614, 314 is 2

2. How to calculate the greatest common divisor of 672, 110, 614, 314?

We can find the highest common divisor of 672, 110, 614, 314 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 672, 110, 614, 314 i.e 2.

3. How can I use the GCD of 672, 110, 614, 314Calculator?

Out the numbers 672, 110, 614, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.