GCD of 392, 140, 284, 490 Calculator

Given Input numbers are 392, 140, 284, 490

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

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

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 (392, 140, 284, 490) = 2.

Given numbers are 392, 140, 284, 490

The list of prime factors of all numbers are

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 284 are 2 x 2 x 71

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

The highest common occurrence is 2¹

Therefore, GCD of 392, 140, 284, 490 is 2.

Given numbers are 392, 140, 284, 490

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

Apply this formula for all numbers.

Step1:

LCM(392, 140) = 1960

GCD(392, 140) = ( 392 x 140 ) / 1960

= 392 / 140

= 392

Step2:

LCM(28, 284) = 1988

GCD(28, 284) = ( 28 x 284 ) / 1988

= 28 / 284

= 28

Step3:

LCM(4, 490) = 980

GCD(4, 490) = ( 4 x 490 ) / 980

= 4 / 490

= 4

So, Greatest Common Divisor of 392, 140, 284, 490 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 165, 908, 465, 776
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• GCD of 737, 392, 124, 822
• GCD of 606, 678, 806, 807

Given numbers are 392, 140, 284, 490
The greatest common divisor of numbers 392, 140, 284, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 392, 140, 284, 490 is 2.

1. What is the GCD of 392, 140, 284, 490?

GCD of given numbers 392, 140, 284, 490 is 2

2. How to calculate the greatest common divisor of 392, 140, 284, 490?

We can find the highest common divisor of 392, 140, 284, 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 392, 140, 284, 490 i.e 2.

3. How can I use the GCD of 392, 140, 284, 490Calculator?

Out the numbers 392, 140, 284, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.