GCD of 196, 374, 148, 380 Calculator

Given Input numbers are 196, 374, 148, 380

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 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

GCD of numbers is the greatest common divisor

So, the GCD (196, 374, 148, 380) = 2.

Given numbers are 196, 374, 148, 380

The list of prime factors of all numbers are

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

Prime factors of 374 are 2 x 11 x 17

Prime factors of 148 are 2 x 2 x 37

Prime factors of 380 are 2 x 2 x 5 x 19

The highest common occurrence is 2¹

Therefore, GCD of 196, 374, 148, 380 is 2.

Given numbers are 196, 374, 148, 380

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

Apply this formula for all numbers.

Step1:

LCM(196, 374) = 36652

GCD(196, 374) = ( 196 x 374 ) / 36652

= 196 / 374

= 196

Step2:

LCM(2, 148) = 148

GCD(2, 148) = ( 2 x 148 ) / 148

= 2 / 148

= 2

Step3:

LCM(2, 380) = 380

GCD(2, 380) = ( 2 x 380 ) / 380

= 2 / 380

= 2

So, Greatest Common Divisor of 196, 374, 148, 380 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 968, 168, 773, 793
• GCD of 797, 836, 193, 381
• GCD of 475, 928, 270, 372
• GCD of 416, 648, 783, 241
• GCD of 122, 322, 903, 159

Given numbers are 196, 374, 148, 380
The greatest common divisor of numbers 196, 374, 148, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 374, 148, 380 is 2.

1. What is the GCD of 196, 374, 148, 380?

GCD of given numbers 196, 374, 148, 380 is 2

2. How to calculate the greatest common divisor of 196, 374, 148, 380?

We can find the highest common divisor of 196, 374, 148, 380 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, 374, 148, 380 i.e 2.

3. How can I use the GCD of 196, 374, 148, 380Calculator?

Out the numbers 196, 374, 148, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.