GCD of 398, 774, 948, 196 Calculator

Given Input numbers are 398, 774, 948, 196

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

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

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 (398, 774, 948, 196) = 2.

Given numbers are 398, 774, 948, 196

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 948 are 2 x 2 x 3 x 79

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

The highest common occurrence is 2¹

Therefore, GCD of 398, 774, 948, 196 is 2.

Given numbers are 398, 774, 948, 196

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

Apply this formula for all numbers.

Step1:

LCM(398, 774) = 154026

GCD(398, 774) = ( 398 x 774 ) / 154026

= 398 / 774

= 398

Step2:

LCM(2, 948) = 948

GCD(2, 948) = ( 2 x 948 ) / 948

= 2 / 948

= 2

Step3:

LCM(2, 196) = 196

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

= 2 / 196

= 2

So, Greatest Common Divisor of 398, 774, 948, 196 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 287, 512, 956, 631
• GCD of 414, 269, 371, 564
• GCD of 635, 702, 319, 846
• GCD of 828, 940, 351, 205
• GCD of 550, 567, 787, 805

Given numbers are 398, 774, 948, 196
The greatest common divisor of numbers 398, 774, 948, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 774, 948, 196 is 2.

1. What is the GCD of 398, 774, 948, 196?

GCD of given numbers 398, 774, 948, 196 is 2

2. How to calculate the greatest common divisor of 398, 774, 948, 196?

We can find the highest common divisor of 398, 774, 948, 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 398, 774, 948, 196 i.e 2.

3. How can I use the GCD of 398, 774, 948, 196Calculator?

Out the numbers 398, 774, 948, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.