GCD of 312, 690, 777, 441 Calculator

Given Input numbers are 312, 690, 777, 441

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 777 :

The positive integer divisors of 777 that completely divides 777 are.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

GCD of numbers is the greatest common divisor

So, the GCD (312, 690, 777, 441) = 3.

Given numbers are 312, 690, 777, 441

The list of prime factors of all numbers are

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 777 are 3 x 7 x 37

Prime factors of 441 are 3 x 3 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 312, 690, 777, 441 is 3.

Given numbers are 312, 690, 777, 441

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

Apply this formula for all numbers.

Step1:

LCM(312, 690) = 35880

GCD(312, 690) = ( 312 x 690 ) / 35880

= 312 / 690

= 312

Step2:

LCM(6, 777) = 1554

GCD(6, 777) = ( 6 x 777 ) / 1554

= 6 / 777

= 6

Step3:

LCM(3, 441) = 441

GCD(3, 441) = ( 3 x 441 ) / 441

= 3 / 441

= 3

So, Greatest Common Divisor of 312, 690, 777, 441 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 303, 986, 289, 356
• GCD of 317, 799, 742, 657
• GCD of 496, 878, 746, 367
• GCD of 285, 300, 150, 807
• GCD of 497, 853, 128, 928

Given numbers are 312, 690, 777, 441
The greatest common divisor of numbers 312, 690, 777, 441 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 690, 777, 441 is 3.

1. What is the GCD of 312, 690, 777, 441?

GCD of given numbers 312, 690, 777, 441 is 3

2. How to calculate the greatest common divisor of 312, 690, 777, 441?

We can find the highest common divisor of 312, 690, 777, 441 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 312, 690, 777, 441 i.e 3.

3. How can I use the GCD of 312, 690, 777, 441Calculator?

Out the numbers 312, 690, 777, 441 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.