GCD of 840, 496, 189, 917 Calculator

Given Input numbers are 840, 496, 189, 917

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 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

GCD of numbers is the greatest common divisor

So, the GCD (840, 496, 189, 917) = 1.

Given numbers are 840, 496, 189, 917

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 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 917 are 7 x 131

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

Given numbers are 840, 496, 189, 917

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

Apply this formula for all numbers.

Step1:

LCM(840, 496) = 52080

GCD(840, 496) = ( 840 x 496 ) / 52080

= 840 / 496

= 840

Step2:

LCM(8, 189) = 1512

GCD(8, 189) = ( 8 x 189 ) / 1512

= 8 / 189

= 8

Step3:

LCM(1, 917) = 917

GCD(1, 917) = ( 1 x 917 ) / 917

= 1 / 917

= 1

So, Greatest Common Divisor of 840, 496, 189, 917 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 300, 985, 160, 952
• GCD of 577, 985, 476, 294
• GCD of 137, 567, 117, 487
• GCD of 840, 676, 464, 260
• GCD of 535, 585, 131, 820

Given numbers are 840, 496, 189, 917
The greatest common divisor of numbers 840, 496, 189, 917 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 496, 189, 917 is 1.

1. What is the GCD of 840, 496, 189, 917?

GCD of given numbers 840, 496, 189, 917 is 1

2. How to calculate the greatest common divisor of 840, 496, 189, 917?

We can find the highest common divisor of 840, 496, 189, 917 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, 496, 189, 917 i.e 1.

3. How can I use the GCD of 840, 496, 189, 917Calculator?

Out the numbers 840, 496, 189, 917 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.