GCD of 274, 276, 755, 748 Calculator

Given Input numbers are 274, 276, 755, 748

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 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

GCD of numbers is the greatest common divisor

So, the GCD (274, 276, 755, 748) = 1.

Given numbers are 274, 276, 755, 748

The list of prime factors of all numbers are

Prime factors of 274 are 2 x 137

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 755 are 5 x 151

Prime factors of 748 are 2 x 2 x 11 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 274, 276, 755, 748

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

Apply this formula for all numbers.

Step1:

LCM(274, 276) = 37812

GCD(274, 276) = ( 274 x 276 ) / 37812

= 274 / 276

= 274

Step2:

LCM(2, 755) = 1510

GCD(2, 755) = ( 2 x 755 ) / 1510

= 2 / 755

= 2

Step3:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

So, Greatest Common Divisor of 274, 276, 755, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 533, 682, 446, 798
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Given numbers are 274, 276, 755, 748
The greatest common divisor of numbers 274, 276, 755, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 276, 755, 748 is 1.

1. What is the GCD of 274, 276, 755, 748?

GCD of given numbers 274, 276, 755, 748 is 1

2. How to calculate the greatest common divisor of 274, 276, 755, 748?

We can find the highest common divisor of 274, 276, 755, 748 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, 276, 755, 748 i.e 1.

3. How can I use the GCD of 274, 276, 755, 748Calculator?

Out the numbers 274, 276, 755, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.