GCD of 780, 921, 954, 228 Calculator

Given Input numbers are 780, 921, 954, 228

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

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 921 :

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

1, 3, 307, 921

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

GCD of numbers is the greatest common divisor

So, the GCD (780, 921, 954, 228) = 3.

Given numbers are 780, 921, 954, 228

The list of prime factors of all numbers are

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 921 are 3 x 307

Prime factors of 954 are 2 x 3 x 3 x 53

Prime factors of 228 are 2 x 2 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 780, 921, 954, 228 is 3.

Given numbers are 780, 921, 954, 228

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

Apply this formula for all numbers.

Step1:

LCM(780, 921) = 239460

GCD(780, 921) = ( 780 x 921 ) / 239460

= 780 / 921

= 780

Step2:

LCM(3, 954) = 954

GCD(3, 954) = ( 3 x 954 ) / 954

= 3 / 954

= 3

Step3:

LCM(3, 228) = 228

GCD(3, 228) = ( 3 x 228 ) / 228

= 3 / 228

= 3

So, Greatest Common Divisor of 780, 921, 954, 228 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 906, 186, 920, 404
• GCD of 342, 918, 508, 943
• GCD of 473, 479, 517, 602
• GCD of 916, 284, 533, 340
• GCD of 746, 338, 774, 914

Given numbers are 780, 921, 954, 228
The greatest common divisor of numbers 780, 921, 954, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 921, 954, 228 is 3.

1. What is the GCD of 780, 921, 954, 228?

GCD of given numbers 780, 921, 954, 228 is 3

2. How to calculate the greatest common divisor of 780, 921, 954, 228?

We can find the highest common divisor of 780, 921, 954, 228 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 780, 921, 954, 228 i.e 3.

3. How can I use the GCD of 780, 921, 954, 228Calculator?

Out the numbers 780, 921, 954, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.