GCD of 132, 196, 278, 124 Calculator

Given Input numbers are 132, 196, 278, 124

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

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

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 278 :

The positive integer divisors of 278 that completely divides 278 are.

1, 2, 139, 278

Divisors of 124 :

The positive integer divisors of 124 that completely divides 124 are.

1, 2, 4, 31, 62, 124

GCD of numbers is the greatest common divisor

So, the GCD (132, 196, 278, 124) = 2.

Given numbers are 132, 196, 278, 124

The list of prime factors of all numbers are

Prime factors of 132 are 2 x 2 x 3 x 11

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

Prime factors of 278 are 2 x 139

Prime factors of 124 are 2 x 2 x 31

The highest common occurrence is 2¹

Therefore, GCD of 132, 196, 278, 124 is 2.

Given numbers are 132, 196, 278, 124

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

Apply this formula for all numbers.

Step1:

LCM(132, 196) = 6468

GCD(132, 196) = ( 132 x 196 ) / 6468

= 132 / 196

= 132

Step2:

LCM(4, 278) = 556

GCD(4, 278) = ( 4 x 278 ) / 556

= 4 / 278

= 4

Step3:

LCM(2, 124) = 124

GCD(2, 124) = ( 2 x 124 ) / 124

= 2 / 124

= 2

So, Greatest Common Divisor of 132, 196, 278, 124 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 964, 149, 339, 353
• GCD of 265, 335, 431, 168
• GCD of 296, 105, 850, 712
• GCD of 879, 128, 919, 505
• GCD of 115, 851, 586, 147

Given numbers are 132, 196, 278, 124
The greatest common divisor of numbers 132, 196, 278, 124 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 196, 278, 124 is 2.

1. What is the GCD of 132, 196, 278, 124?

GCD of given numbers 132, 196, 278, 124 is 2

2. How to calculate the greatest common divisor of 132, 196, 278, 124?

We can find the highest common divisor of 132, 196, 278, 124 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 132, 196, 278, 124 i.e 2.

3. How can I use the GCD of 132, 196, 278, 124Calculator?

Out the numbers 132, 196, 278, 124 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.