GCD of 274, 768, 296, 148 Calculator

Given Input numbers are 274, 768, 296, 148

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

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 148 :

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

1, 2, 4, 37, 74, 148

GCD of numbers is the greatest common divisor

So, the GCD (274, 768, 296, 148) = 2.

Given numbers are 274, 768, 296, 148

The list of prime factors of all numbers are

Prime factors of 274 are 2 x 137

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 148 are 2 x 2 x 37

The highest common occurrence is 2¹

Therefore, GCD of 274, 768, 296, 148 is 2.

Given numbers are 274, 768, 296, 148

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

Apply this formula for all numbers.

Step1:

LCM(274, 768) = 105216

GCD(274, 768) = ( 274 x 768 ) / 105216

= 274 / 768

= 274

Step2:

LCM(2, 296) = 296

GCD(2, 296) = ( 2 x 296 ) / 296

= 2 / 296

= 2

Step3:

LCM(2, 148) = 148

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

= 2 / 148

= 2

So, Greatest Common Divisor of 274, 768, 296, 148 is 2

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• GCD of 536, 600, 149, 948
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Given numbers are 274, 768, 296, 148
The greatest common divisor of numbers 274, 768, 296, 148 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 768, 296, 148 is 2.

1. What is the GCD of 274, 768, 296, 148?

GCD of given numbers 274, 768, 296, 148 is 2

2. How to calculate the greatest common divisor of 274, 768, 296, 148?

We can find the highest common divisor of 274, 768, 296, 148 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 274, 768, 296, 148 i.e 2.

3. How can I use the GCD of 274, 768, 296, 148Calculator?

Out the numbers 274, 768, 296, 148 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.