GCD of 474, 681, 522, 840 Calculator

Given Input numbers are 474, 681, 522, 840

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

Divisors of 474 :

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

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

Divisors of 681 :

The positive integer divisors of 681 that completely divides 681 are.

1, 3, 227, 681

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

GCD of numbers is the greatest common divisor

So, the GCD (474, 681, 522, 840) = 3.

Given numbers are 474, 681, 522, 840

The list of prime factors of all numbers are

Prime factors of 474 are 2 x 3 x 79

Prime factors of 681 are 3 x 227

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

The highest common occurrence is 3¹

Therefore, GCD of 474, 681, 522, 840 is 3.

Given numbers are 474, 681, 522, 840

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

Apply this formula for all numbers.

Step1:

LCM(474, 681) = 107598

GCD(474, 681) = ( 474 x 681 ) / 107598

= 474 / 681

= 474

Step2:

LCM(3, 522) = 522

GCD(3, 522) = ( 3 x 522 ) / 522

= 3 / 522

= 3

Step3:

LCM(3, 840) = 840

GCD(3, 840) = ( 3 x 840 ) / 840

= 3 / 840

= 3

So, Greatest Common Divisor of 474, 681, 522, 840 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 265, 952, 149, 103
• GCD of 660, 812, 479, 264
• GCD of 517, 885, 260, 486
• GCD of 690, 138, 372, 815
• GCD of 164, 472, 491, 680

Given numbers are 474, 681, 522, 840
The greatest common divisor of numbers 474, 681, 522, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 681, 522, 840 is 3.

1. What is the GCD of 474, 681, 522, 840?

GCD of given numbers 474, 681, 522, 840 is 3

2. How to calculate the greatest common divisor of 474, 681, 522, 840?

We can find the highest common divisor of 474, 681, 522, 840 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 474, 681, 522, 840 i.e 3.

3. How can I use the GCD of 474, 681, 522, 840Calculator?

Out the numbers 474, 681, 522, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.