GCD of 428, 680, 536, 196 Calculator

Given Input numbers are 428, 680, 536, 196

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

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 (428, 680, 536, 196) = 4.

Given numbers are 428, 680, 536, 196

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 536 are 2 x 2 x 2 x 67

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

The highest common occurrence is 2²

Therefore, GCD of 428, 680, 536, 196 is 4.

Given numbers are 428, 680, 536, 196

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

Apply this formula for all numbers.

Step1:

LCM(428, 680) = 72760

GCD(428, 680) = ( 428 x 680 ) / 72760

= 428 / 680

= 428

Step2:

LCM(4, 536) = 536

GCD(4, 536) = ( 4 x 536 ) / 536

= 4 / 536

= 4

Step3:

LCM(4, 196) = 196

GCD(4, 196) = ( 4 x 196 ) / 196

= 4 / 196

= 4

So, Greatest Common Divisor of 428, 680, 536, 196 is 4

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Given numbers are 428, 680, 536, 196
The greatest common divisor of numbers 428, 680, 536, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 680, 536, 196 is 4.

1. What is the GCD of 428, 680, 536, 196?

GCD of given numbers 428, 680, 536, 196 is 4

2. How to calculate the greatest common divisor of 428, 680, 536, 196?

We can find the highest common divisor of 428, 680, 536, 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 428, 680, 536, 196 i.e 4.

3. How can I use the GCD of 428, 680, 536, 196Calculator?

Out the numbers 428, 680, 536, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.