GCD of 840, 992, 105, 490 Calculator

Given Input numbers are 840, 992, 105, 490

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 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

GCD of numbers is the greatest common divisor

So, the GCD (840, 992, 105, 490) = 1.

Given numbers are 840, 992, 105, 490

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 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 105 are 3 x 5 x 7

Prime factors of 490 are 2 x 5 x 7 x 7

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

Given numbers are 840, 992, 105, 490

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

Apply this formula for all numbers.

Step1:

LCM(840, 992) = 104160

GCD(840, 992) = ( 840 x 992 ) / 104160

= 840 / 992

= 840

Step2:

LCM(8, 105) = 840

GCD(8, 105) = ( 8 x 105 ) / 840

= 8 / 105

= 8

Step3:

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

= 1 / 490

= 1

So, Greatest Common Divisor of 840, 992, 105, 490 is 1

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• GCD of 212, 414, 286, 663
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Given numbers are 840, 992, 105, 490
The greatest common divisor of numbers 840, 992, 105, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 992, 105, 490 is 1.

1. What is the GCD of 840, 992, 105, 490?

GCD of given numbers 840, 992, 105, 490 is 1

2. How to calculate the greatest common divisor of 840, 992, 105, 490?

We can find the highest common divisor of 840, 992, 105, 490 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, 992, 105, 490 i.e 1.

3. How can I use the GCD of 840, 992, 105, 490Calculator?

Out the numbers 840, 992, 105, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.