GCD of 196, 136, 460, 692 Calculator

Given Input numbers are 196, 136, 460, 692

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

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 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

GCD of numbers is the greatest common divisor

So, the GCD (196, 136, 460, 692) = 4.

Given numbers are 196, 136, 460, 692

The list of prime factors of all numbers are

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

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 692 are 2 x 2 x 173

The highest common occurrence is 2²

Therefore, GCD of 196, 136, 460, 692 is 4.

Given numbers are 196, 136, 460, 692

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

Apply this formula for all numbers.

Step1:

LCM(196, 136) = 6664

GCD(196, 136) = ( 196 x 136 ) / 6664

= 196 / 136

= 196

Step2:

LCM(4, 460) = 460

GCD(4, 460) = ( 4 x 460 ) / 460

= 4 / 460

= 4

Step3:

LCM(4, 692) = 692

GCD(4, 692) = ( 4 x 692 ) / 692

= 4 / 692

= 4

So, Greatest Common Divisor of 196, 136, 460, 692 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 899, 274, 599, 809
• GCD of 238, 522, 854, 302
• GCD of 777, 209, 552, 763
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• GCD of 224, 829, 900, 801

Given numbers are 196, 136, 460, 692
The greatest common divisor of numbers 196, 136, 460, 692 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 136, 460, 692 is 4.

1. What is the GCD of 196, 136, 460, 692?

GCD of given numbers 196, 136, 460, 692 is 4

2. How to calculate the greatest common divisor of 196, 136, 460, 692?

We can find the highest common divisor of 196, 136, 460, 692 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 196, 136, 460, 692 i.e 4.

3. How can I use the GCD of 196, 136, 460, 692Calculator?

Out the numbers 196, 136, 460, 692 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.