GCD of 921, 690, 474, 780 Calculator

Given Input numbers are 921, 690, 474, 780

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

Divisors of 921 :

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

1, 3, 307, 921

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 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

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

GCD of numbers is the greatest common divisor

So, the GCD (921, 690, 474, 780) = 3.

Given numbers are 921, 690, 474, 780

The list of prime factors of all numbers are

Prime factors of 921 are 3 x 307

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

Prime factors of 474 are 2 x 3 x 79

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

The highest common occurrence is 3¹

Therefore, GCD of 921, 690, 474, 780 is 3.

Given numbers are 921, 690, 474, 780

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

Apply this formula for all numbers.

Step1:

LCM(921, 690) = 211830

GCD(921, 690) = ( 921 x 690 ) / 211830

= 921 / 690

= 921

Step2:

LCM(3, 474) = 474

GCD(3, 474) = ( 3 x 474 ) / 474

= 3 / 474

= 3

Step3:

LCM(3, 780) = 780

GCD(3, 780) = ( 3 x 780 ) / 780

= 3 / 780

= 3

So, Greatest Common Divisor of 921, 690, 474, 780 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 232, 751, 875, 495
• GCD of 647, 887, 519, 412
• GCD of 269, 103, 900, 582
• GCD of 394, 233, 383, 441
• GCD of 949, 206, 680, 568

Given numbers are 921, 690, 474, 780
The greatest common divisor of numbers 921, 690, 474, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 921, 690, 474, 780 is 3.

1. What is the GCD of 921, 690, 474, 780?

GCD of given numbers 921, 690, 474, 780 is 3

2. How to calculate the greatest common divisor of 921, 690, 474, 780?

We can find the highest common divisor of 921, 690, 474, 780 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 921, 690, 474, 780 i.e 3.

3. How can I use the GCD of 921, 690, 474, 780Calculator?

Out the numbers 921, 690, 474, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.