GCD of 141, 690, 849, 609 Calculator

Given Input numbers are 141, 690, 849, 609

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

Divisors of 141 :

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

1, 3, 47, 141

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 849 :

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

1, 3, 283, 849

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

GCD of numbers is the greatest common divisor

So, the GCD (141, 690, 849, 609) = 3.

Given numbers are 141, 690, 849, 609

The list of prime factors of all numbers are

Prime factors of 141 are 3 x 47

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

Prime factors of 849 are 3 x 283

Prime factors of 609 are 3 x 7 x 29

The highest common occurrence is 3¹

Therefore, GCD of 141, 690, 849, 609 is 3.

Given numbers are 141, 690, 849, 609

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

Apply this formula for all numbers.

Step1:

LCM(141, 690) = 32430

GCD(141, 690) = ( 141 x 690 ) / 32430

= 141 / 690

= 141

Step2:

LCM(3, 849) = 849

GCD(3, 849) = ( 3 x 849 ) / 849

= 3 / 849

= 3

Step3:

LCM(3, 609) = 609

GCD(3, 609) = ( 3 x 609 ) / 609

= 3 / 609

= 3

So, Greatest Common Divisor of 141, 690, 849, 609 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 991, 688, 568, 819
• GCD of 317, 964, 740, 120
• GCD of 364, 656, 705, 372
• GCD of 288, 709, 773, 738
• GCD of 891, 623, 431, 794

Given numbers are 141, 690, 849, 609
The greatest common divisor of numbers 141, 690, 849, 609 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 141, 690, 849, 609 is 3.

1. What is the GCD of 141, 690, 849, 609?

GCD of given numbers 141, 690, 849, 609 is 3

2. How to calculate the greatest common divisor of 141, 690, 849, 609?

We can find the highest common divisor of 141, 690, 849, 609 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 141, 690, 849, 609 i.e 3.

3. How can I use the GCD of 141, 690, 849, 609Calculator?

Out the numbers 141, 690, 849, 609 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.