GCD of 840, 117, 297, 407 Calculator

Given Input numbers are 840, 117, 297, 407

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 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 407 :

The positive integer divisors of 407 that completely divides 407 are.

1, 11, 37, 407

GCD of numbers is the greatest common divisor

So, the GCD (840, 117, 297, 407) = 1.

Given numbers are 840, 117, 297, 407

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 117 are 3 x 3 x 13

Prime factors of 297 are 3 x 3 x 3 x 11

Prime factors of 407 are 11 x 37

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 840, 117, 297, 407

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

Apply this formula for all numbers.

Step1:

LCM(840, 117) = 32760

GCD(840, 117) = ( 840 x 117 ) / 32760

= 840 / 117

= 840

Step2:

LCM(3, 297) = 297

GCD(3, 297) = ( 3 x 297 ) / 297

= 3 / 297

= 3

Step3:

LCM(3, 407) = 1221

GCD(3, 407) = ( 3 x 407 ) / 1221

= 3 / 407

= 3

So, Greatest Common Divisor of 840, 117, 297, 407 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 375, 109, 844, 303
• GCD of 239, 239, 235, 350
• GCD of 686, 287, 976, 980
• GCD of 887, 154, 595, 529
• GCD of 968, 116, 541, 728

Given numbers are 840, 117, 297, 407
The greatest common divisor of numbers 840, 117, 297, 407 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 117, 297, 407 is 1.

1. What is the GCD of 840, 117, 297, 407?

GCD of given numbers 840, 117, 297, 407 is 1

2. How to calculate the greatest common divisor of 840, 117, 297, 407?

We can find the highest common divisor of 840, 117, 297, 407 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, 117, 297, 407 i.e 1.

3. How can I use the GCD of 840, 117, 297, 407Calculator?

Out the numbers 840, 117, 297, 407 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.