GCD of 348, 840, 990, 477 Calculator

Given Input numbers are 348, 840, 990, 477

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

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

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

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

GCD of numbers is the greatest common divisor

So, the GCD (348, 840, 990, 477) = 3.

Given numbers are 348, 840, 990, 477

The list of prime factors of all numbers are

Prime factors of 348 are 2 x 2 x 3 x 29

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

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 477 are 3 x 3 x 53

The highest common occurrence is 3¹

Therefore, GCD of 348, 840, 990, 477 is 3.

Given numbers are 348, 840, 990, 477

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

Apply this formula for all numbers.

Step1:

LCM(348, 840) = 24360

GCD(348, 840) = ( 348 x 840 ) / 24360

= 348 / 840

= 348

Step2:

LCM(12, 990) = 1980

GCD(12, 990) = ( 12 x 990 ) / 1980

= 12 / 990

= 12

Step3:

LCM(6, 477) = 954

GCD(6, 477) = ( 6 x 477 ) / 954

= 6 / 477

= 6

So, Greatest Common Divisor of 348, 840, 990, 477 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 625, 703, 161, 995
• GCD of 783, 355, 490, 320
• GCD of 148, 899, 664, 912
• GCD of 630, 201, 614, 941
• GCD of 202, 638, 672, 310

Given numbers are 348, 840, 990, 477
The greatest common divisor of numbers 348, 840, 990, 477 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 840, 990, 477 is 3.

1. What is the GCD of 348, 840, 990, 477?

GCD of given numbers 348, 840, 990, 477 is 3

2. How to calculate the greatest common divisor of 348, 840, 990, 477?

We can find the highest common divisor of 348, 840, 990, 477 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 348, 840, 990, 477 i.e 3.

3. How can I use the GCD of 348, 840, 990, 477Calculator?

Out the numbers 348, 840, 990, 477 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.