GCD of 261, 840, 342, 120 Calculator

Given Input numbers are 261, 840, 342, 120

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

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

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 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

GCD of numbers is the greatest common divisor

So, the GCD (261, 840, 342, 120) = 3.

Given numbers are 261, 840, 342, 120

The list of prime factors of all numbers are

Prime factors of 261 are 3 x 3 x 29

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

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 261, 840, 342, 120 is 3.

Given numbers are 261, 840, 342, 120

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

Apply this formula for all numbers.

Step1:

LCM(261, 840) = 73080

GCD(261, 840) = ( 261 x 840 ) / 73080

= 261 / 840

= 261

Step2:

LCM(3, 342) = 342

GCD(3, 342) = ( 3 x 342 ) / 342

= 3 / 342

= 3

Step3:

LCM(3, 120) = 120

GCD(3, 120) = ( 3 x 120 ) / 120

= 3 / 120

= 3

So, Greatest Common Divisor of 261, 840, 342, 120 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 245, 326, 208, 691
• GCD of 493, 388, 743, 125
• GCD of 271, 405, 321, 168
• GCD of 542, 509, 865, 825
• GCD of 220, 991, 662, 234

Given numbers are 261, 840, 342, 120
The greatest common divisor of numbers 261, 840, 342, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 840, 342, 120 is 3.

1. What is the GCD of 261, 840, 342, 120?

GCD of given numbers 261, 840, 342, 120 is 3

2. How to calculate the greatest common divisor of 261, 840, 342, 120?

We can find the highest common divisor of 261, 840, 342, 120 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 261, 840, 342, 120 i.e 3.

3. How can I use the GCD of 261, 840, 342, 120Calculator?

Out the numbers 261, 840, 342, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.