GCD of 945, 921, 519, 732 Calculator

Given Input numbers are 945, 921, 519, 732

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 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 519 :

The positive integer divisors of 519 that completely divides 519 are.

1, 3, 173, 519

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

GCD of numbers is the greatest common divisor

So, the GCD (945, 921, 519, 732) = 3.

Given numbers are 945, 921, 519, 732

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 921 are 3 x 307

Prime factors of 519 are 3 x 173

Prime factors of 732 are 2 x 2 x 3 x 61

The highest common occurrence is 3¹

Therefore, GCD of 945, 921, 519, 732 is 3.

Given numbers are 945, 921, 519, 732

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

Apply this formula for all numbers.

Step1:

LCM(945, 921) = 290115

GCD(945, 921) = ( 945 x 921 ) / 290115

= 945 / 921

= 945

Step2:

LCM(3, 519) = 519

GCD(3, 519) = ( 3 x 519 ) / 519

= 3 / 519

= 3

Step3:

LCM(3, 732) = 732

GCD(3, 732) = ( 3 x 732 ) / 732

= 3 / 732

= 3

So, Greatest Common Divisor of 945, 921, 519, 732 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 437, 679, 556, 809
• GCD of 921, 226, 734, 703
• GCD of 568, 737, 822, 762
• GCD of 960, 592, 492, 459
• GCD of 914, 765, 963, 374

Given numbers are 945, 921, 519, 732
The greatest common divisor of numbers 945, 921, 519, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 921, 519, 732 is 3.

1. What is the GCD of 945, 921, 519, 732?

GCD of given numbers 945, 921, 519, 732 is 3

2. How to calculate the greatest common divisor of 945, 921, 519, 732?

We can find the highest common divisor of 945, 921, 519, 732 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, 921, 519, 732 i.e 3.

3. How can I use the GCD of 945, 921, 519, 732Calculator?

Out the numbers 945, 921, 519, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.