GCD of 378, 649, 871, 660 Calculator

Given Input numbers are 378, 649, 871, 660

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

Divisors of 871 :

The positive integer divisors of 871 that completely divides 871 are.

1, 13, 67, 871

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

GCD of numbers is the greatest common divisor

So, the GCD (378, 649, 871, 660) = 1.

Given numbers are 378, 649, 871, 660

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 649 are 11 x 59

Prime factors of 871 are 13 x 67

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

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

Given numbers are 378, 649, 871, 660

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

Apply this formula for all numbers.

Step1:

LCM(378, 649) = 245322

GCD(378, 649) = ( 378 x 649 ) / 245322

= 378 / 649

= 378

Step2:

LCM(1, 871) = 871

GCD(1, 871) = ( 1 x 871 ) / 871

= 1 / 871

= 1

Step3:

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

= 1 / 660

= 1

So, Greatest Common Divisor of 378, 649, 871, 660 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 268, 789, 859, 892
• GCD of 387, 412, 164, 215
• GCD of 106, 910, 232, 344
• GCD of 757, 158, 193, 185
• GCD of 138, 252, 215, 507

Given numbers are 378, 649, 871, 660
The greatest common divisor of numbers 378, 649, 871, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 649, 871, 660 is 1.

1. What is the GCD of 378, 649, 871, 660?

GCD of given numbers 378, 649, 871, 660 is 1

2. How to calculate the greatest common divisor of 378, 649, 871, 660?

We can find the highest common divisor of 378, 649, 871, 660 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 378, 649, 871, 660 i.e 1.

3. How can I use the GCD of 378, 649, 871, 660Calculator?

Out the numbers 378, 649, 871, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.