GCD of 528, 142, 230, 196 Calculator

Given Input numbers are 528, 142, 230, 196

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

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 196 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (528, 142, 230, 196) = 2.

Given numbers are 528, 142, 230, 196

The list of prime factors of all numbers are

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 142 are 2 x 71

Prime factors of 230 are 2 x 5 x 23

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

The highest common occurrence is 2¹

Therefore, GCD of 528, 142, 230, 196 is 2.

Given numbers are 528, 142, 230, 196

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

Apply this formula for all numbers.

Step1:

LCM(528, 142) = 37488

GCD(528, 142) = ( 528 x 142 ) / 37488

= 528 / 142

= 528

Step2:

LCM(2, 230) = 230

GCD(2, 230) = ( 2 x 230 ) / 230

= 2 / 230

= 2

Step3:

LCM(2, 196) = 196

GCD(2, 196) = ( 2 x 196 ) / 196

= 2 / 196

= 2

So, Greatest Common Divisor of 528, 142, 230, 196 is 2

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Given numbers are 528, 142, 230, 196
The greatest common divisor of numbers 528, 142, 230, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 528, 142, 230, 196 is 2.

1. What is the GCD of 528, 142, 230, 196?

GCD of given numbers 528, 142, 230, 196 is 2

2. How to calculate the greatest common divisor of 528, 142, 230, 196?

We can find the highest common divisor of 528, 142, 230, 196 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 528, 142, 230, 196 i.e 2.

3. How can I use the GCD of 528, 142, 230, 196Calculator?

Out the numbers 528, 142, 230, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.