GCD of 196, 896, 702, 898 Calculator

Given Input numbers are 196, 896, 702, 898

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 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

GCD of numbers is the greatest common divisor

So, the GCD (196, 896, 702, 898) = 2.

Given numbers are 196, 896, 702, 898

The list of prime factors of all numbers are

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

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 898 are 2 x 449

The highest common occurrence is 2¹

Therefore, GCD of 196, 896, 702, 898 is 2.

Given numbers are 196, 896, 702, 898

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

Apply this formula for all numbers.

Step1:

LCM(196, 896) = 6272

GCD(196, 896) = ( 196 x 896 ) / 6272

= 196 / 896

= 196

Step2:

LCM(28, 702) = 9828

GCD(28, 702) = ( 28 x 702 ) / 9828

= 28 / 702

= 28

Step3:

LCM(2, 898) = 898

GCD(2, 898) = ( 2 x 898 ) / 898

= 2 / 898

= 2

So, Greatest Common Divisor of 196, 896, 702, 898 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 215, 582, 945, 125
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Given numbers are 196, 896, 702, 898
The greatest common divisor of numbers 196, 896, 702, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 896, 702, 898 is 2.

1. What is the GCD of 196, 896, 702, 898?

GCD of given numbers 196, 896, 702, 898 is 2

2. How to calculate the greatest common divisor of 196, 896, 702, 898?

We can find the highest common divisor of 196, 896, 702, 898 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, 896, 702, 898 i.e 2.

3. How can I use the GCD of 196, 896, 702, 898Calculator?

Out the numbers 196, 896, 702, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.