GCD of 441, 846, 849, 141 Calculator

Given Input numbers are 441, 846, 849, 141

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

Divisors of 441 :

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

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

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141

GCD of numbers is the greatest common divisor

So, the GCD (441, 846, 849, 141) = 3.

Given numbers are 441, 846, 849, 141

The list of prime factors of all numbers are

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

Prime factors of 846 are 2 x 3 x 3 x 47

Prime factors of 849 are 3 x 283

Prime factors of 141 are 3 x 47

The highest common occurrence is 3¹

Therefore, GCD of 441, 846, 849, 141 is 3.

Given numbers are 441, 846, 849, 141

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

Apply this formula for all numbers.

Step1:

LCM(441, 846) = 41454

GCD(441, 846) = ( 441 x 846 ) / 41454

= 441 / 846

= 441

Step2:

LCM(9, 849) = 2547

GCD(9, 849) = ( 9 x 849 ) / 2547

= 9 / 849

= 9

Step3:

LCM(3, 141) = 141

GCD(3, 141) = ( 3 x 141 ) / 141

= 3 / 141

= 3

So, Greatest Common Divisor of 441, 846, 849, 141 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 875, 971, 818, 521
• GCD of 765, 766, 264, 519
• GCD of 454, 628, 547, 284
• GCD of 626, 705, 618, 606
• GCD of 401, 950, 439, 874

Given numbers are 441, 846, 849, 141
The greatest common divisor of numbers 441, 846, 849, 141 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 441, 846, 849, 141 is 3.

1. What is the GCD of 441, 846, 849, 141?

GCD of given numbers 441, 846, 849, 141 is 3

2. How to calculate the greatest common divisor of 441, 846, 849, 141?

We can find the highest common divisor of 441, 846, 849, 141 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 441, 846, 849, 141 i.e 3.

3. How can I use the GCD of 441, 846, 849, 141Calculator?

Out the numbers 441, 846, 849, 141 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.