GCD of 945, 667, 648, 120 Calculator

Given Input numbers are 945, 667, 648, 120

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

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 667 :

The positive integer divisors of 667 that completely divides 667 are.

1, 23, 29, 667

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

GCD of numbers is the greatest common divisor

So, the GCD (945, 667, 648, 120) = 1.

Given numbers are 945, 667, 648, 120

The list of prime factors of all numbers are

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 667 are 23 x 29

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

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

Given numbers are 945, 667, 648, 120

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

Apply this formula for all numbers.

Step1:

LCM(945, 667) = 630315

GCD(945, 667) = ( 945 x 667 ) / 630315

= 945 / 667

= 945

Step2:

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

= 1 / 648

= 1

Step3:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

So, Greatest Common Divisor of 945, 667, 648, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 377, 796, 143, 481
• GCD of 243, 802, 841, 460
• GCD of 217, 122, 716, 922
• GCD of 967, 809, 293, 775
• GCD of 714, 619, 597, 857

Given numbers are 945, 667, 648, 120
The greatest common divisor of numbers 945, 667, 648, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 667, 648, 120 is 1.

1. What is the GCD of 945, 667, 648, 120?

GCD of given numbers 945, 667, 648, 120 is 1

2. How to calculate the greatest common divisor of 945, 667, 648, 120?

We can find the highest common divisor of 945, 667, 648, 120 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 945, 667, 648, 120 i.e 1.

3. How can I use the GCD of 945, 667, 648, 120Calculator?

Out the numbers 945, 667, 648, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.