GCD of 194, 278, 496, 132 Calculator

Given Input numbers are 194, 278, 496, 132

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

Divisors of 194 :

The positive integer divisors of 194 that completely divides 194 are.

1, 2, 97, 194

Divisors of 278 :

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

1, 2, 139, 278

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

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

GCD of numbers is the greatest common divisor

So, the GCD (194, 278, 496, 132) = 2.

Given numbers are 194, 278, 496, 132

The list of prime factors of all numbers are

Prime factors of 194 are 2 x 97

Prime factors of 278 are 2 x 139

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

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

The highest common occurrence is 2¹

Therefore, GCD of 194, 278, 496, 132 is 2.

Given numbers are 194, 278, 496, 132

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

Apply this formula for all numbers.

Step1:

LCM(194, 278) = 26966

GCD(194, 278) = ( 194 x 278 ) / 26966

= 194 / 278

= 194

Step2:

LCM(2, 496) = 496

GCD(2, 496) = ( 2 x 496 ) / 496

= 2 / 496

= 2

Step3:

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

= 2 / 132

= 2

So, Greatest Common Divisor of 194, 278, 496, 132 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 312, 148, 366, 707
• GCD of 556, 749, 471, 804
• GCD of 772, 377, 575, 298
• GCD of 427, 603, 338, 462
• GCD of 953, 922, 924, 748

Given numbers are 194, 278, 496, 132
The greatest common divisor of numbers 194, 278, 496, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 194, 278, 496, 132 is 2.

1. What is the GCD of 194, 278, 496, 132?

GCD of given numbers 194, 278, 496, 132 is 2

2. How to calculate the greatest common divisor of 194, 278, 496, 132?

We can find the highest common divisor of 194, 278, 496, 132 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 194, 278, 496, 132 i.e 2.

3. How can I use the GCD of 194, 278, 496, 132Calculator?

Out the numbers 194, 278, 496, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.