GCD of 840, 282, 654, 141 Calculator

Given Input numbers are 840, 282, 654, 141

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

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 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

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 (840, 282, 654, 141) = 3.

Given numbers are 840, 282, 654, 141

The list of prime factors of all numbers are

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

Prime factors of 282 are 2 x 3 x 47

Prime factors of 654 are 2 x 3 x 109

Prime factors of 141 are 3 x 47

The highest common occurrence is 3¹

Therefore, GCD of 840, 282, 654, 141 is 3.

Given numbers are 840, 282, 654, 141

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

Apply this formula for all numbers.

Step1:

LCM(840, 282) = 39480

GCD(840, 282) = ( 840 x 282 ) / 39480

= 840 / 282

= 840

Step2:

LCM(6, 654) = 654

GCD(6, 654) = ( 6 x 654 ) / 654

= 6 / 654

= 6

Step3:

LCM(6, 141) = 282

GCD(6, 141) = ( 6 x 141 ) / 282

= 6 / 141

= 6

So, Greatest Common Divisor of 840, 282, 654, 141 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 410, 660, 862, 183
• GCD of 970, 933, 268, 123
• GCD of 275, 338, 621, 143
• GCD of 465, 118, 851, 340
• GCD of 247, 173, 287, 315

Given numbers are 840, 282, 654, 141
The greatest common divisor of numbers 840, 282, 654, 141 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 282, 654, 141 is 3.

1. What is the GCD of 840, 282, 654, 141?

GCD of given numbers 840, 282, 654, 141 is 3

2. How to calculate the greatest common divisor of 840, 282, 654, 141?

We can find the highest common divisor of 840, 282, 654, 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 840, 282, 654, 141 i.e 3.

3. How can I use the GCD of 840, 282, 654, 141Calculator?

Out the numbers 840, 282, 654, 141 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.