GCD of 945, 435, 730, 930 Calculator

Given Input numbers are 945, 435, 730, 930

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 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 930 :

The positive integer divisors of 930 that completely divides 930 are.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

GCD of numbers is the greatest common divisor

So, the GCD (945, 435, 730, 930) = 5.

Given numbers are 945, 435, 730, 930

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 435 are 3 x 5 x 29

Prime factors of 730 are 2 x 5 x 73

Prime factors of 930 are 2 x 3 x 5 x 31

The highest common occurrence is 5¹

Therefore, GCD of 945, 435, 730, 930 is 5.

Given numbers are 945, 435, 730, 930

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

Apply this formula for all numbers.

Step1:

LCM(945, 435) = 27405

GCD(945, 435) = ( 945 x 435 ) / 27405

= 945 / 435

= 945

Step2:

LCM(15, 730) = 2190

GCD(15, 730) = ( 15 x 730 ) / 2190

= 15 / 730

= 15

Step3:

LCM(5, 930) = 930

GCD(5, 930) = ( 5 x 930 ) / 930

= 5 / 930

= 5

So, Greatest Common Divisor of 945, 435, 730, 930 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 581, 491, 890, 859
• GCD of 200, 570, 695, 888
• GCD of 683, 745, 158, 933
• GCD of 634, 723, 917, 982
• GCD of 475, 472, 959, 267

Given numbers are 945, 435, 730, 930
The greatest common divisor of numbers 945, 435, 730, 930 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 435, 730, 930 is 5.

1. What is the GCD of 945, 435, 730, 930?

GCD of given numbers 945, 435, 730, 930 is 5

2. How to calculate the greatest common divisor of 945, 435, 730, 930?

We can find the highest common divisor of 945, 435, 730, 930 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, 435, 730, 930 i.e 5.

3. How can I use the GCD of 945, 435, 730, 930Calculator?

Out the numbers 945, 435, 730, 930 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.