GCD of 492, 196, 874, 562 Calculator

Given Input numbers are 492, 196, 874, 562

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

GCD of numbers is the greatest common divisor

So, the GCD (492, 196, 874, 562) = 2.

Given numbers are 492, 196, 874, 562

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 874 are 2 x 19 x 23

Prime factors of 562 are 2 x 281

The highest common occurrence is 2¹

Therefore, GCD of 492, 196, 874, 562 is 2.

Given numbers are 492, 196, 874, 562

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

Apply this formula for all numbers.

Step1:

LCM(492, 196) = 24108

GCD(492, 196) = ( 492 x 196 ) / 24108

= 492 / 196

= 492

Step2:

LCM(4, 874) = 1748

GCD(4, 874) = ( 4 x 874 ) / 1748

= 4 / 874

= 4

Step3:

LCM(2, 562) = 562

GCD(2, 562) = ( 2 x 562 ) / 562

= 2 / 562

= 2

So, Greatest Common Divisor of 492, 196, 874, 562 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 673, 790, 481, 719
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Given numbers are 492, 196, 874, 562
The greatest common divisor of numbers 492, 196, 874, 562 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 196, 874, 562 is 2.

1. What is the GCD of 492, 196, 874, 562?

GCD of given numbers 492, 196, 874, 562 is 2

2. How to calculate the greatest common divisor of 492, 196, 874, 562?

We can find the highest common divisor of 492, 196, 874, 562 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 492, 196, 874, 562 i.e 2.

3. How can I use the GCD of 492, 196, 874, 562Calculator?

Out the numbers 492, 196, 874, 562 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.