GCD of 660, 675, 100, 714 Calculator

Given Input numbers are 660, 675, 100, 714

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

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

GCD of numbers is the greatest common divisor

So, the GCD (660, 675, 100, 714) = 1.

Given numbers are 660, 675, 100, 714

The list of prime factors of all numbers are

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 714 are 2 x 3 x 7 x 17

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

Given numbers are 660, 675, 100, 714

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

Apply this formula for all numbers.

Step1:

LCM(660, 675) = 29700

GCD(660, 675) = ( 660 x 675 ) / 29700

= 660 / 675

= 660

Step2:

LCM(15, 100) = 300

GCD(15, 100) = ( 15 x 100 ) / 300

= 15 / 100

= 15

Step3:

LCM(5, 714) = 3570

GCD(5, 714) = ( 5 x 714 ) / 3570

= 5 / 714

= 5

So, Greatest Common Divisor of 660, 675, 100, 714 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 577, 241, 456, 634
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• GCD of 391, 327, 405, 311
• GCD of 319, 106, 342, 831
• GCD of 768, 605, 395, 842

Given numbers are 660, 675, 100, 714
The greatest common divisor of numbers 660, 675, 100, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 675, 100, 714 is 1.

1. What is the GCD of 660, 675, 100, 714?

GCD of given numbers 660, 675, 100, 714 is 1

2. How to calculate the greatest common divisor of 660, 675, 100, 714?

We can find the highest common divisor of 660, 675, 100, 714 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 660, 675, 100, 714 i.e 1.

3. How can I use the GCD of 660, 675, 100, 714Calculator?

Out the numbers 660, 675, 100, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.