GCD of 276, 414, 441, 840 Calculator

Given Input numbers are 276, 414, 441, 840

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

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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 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

GCD of numbers is the greatest common divisor

So, the GCD (276, 414, 441, 840) = 3.

Given numbers are 276, 414, 441, 840

The list of prime factors of all numbers are

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 414 are 2 x 3 x 3 x 23

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

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

The highest common occurrence is 3¹

Therefore, GCD of 276, 414, 441, 840 is 3.

Given numbers are 276, 414, 441, 840

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

Apply this formula for all numbers.

Step1:

LCM(276, 414) = 828

GCD(276, 414) = ( 276 x 414 ) / 828

= 276 / 414

= 276

Step2:

LCM(138, 441) = 20286

GCD(138, 441) = ( 138 x 441 ) / 20286

= 138 / 441

= 138

Step3:

LCM(3, 840) = 840

GCD(3, 840) = ( 3 x 840 ) / 840

= 3 / 840

= 3

So, Greatest Common Divisor of 276, 414, 441, 840 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 837, 439, 211, 894
• GCD of 238, 728, 293, 531
• GCD of 826, 777, 372, 826
• GCD of 272, 909, 792, 242
• GCD of 932, 969, 985, 215

Given numbers are 276, 414, 441, 840
The greatest common divisor of numbers 276, 414, 441, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 276, 414, 441, 840 is 3.

1. What is the GCD of 276, 414, 441, 840?

GCD of given numbers 276, 414, 441, 840 is 3

2. How to calculate the greatest common divisor of 276, 414, 441, 840?

We can find the highest common divisor of 276, 414, 441, 840 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 276, 414, 441, 840 i.e 3.

3. How can I use the GCD of 276, 414, 441, 840Calculator?

Out the numbers 276, 414, 441, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.