GCD of 674, 768, 421, 135 Calculator

Given Input numbers are 674, 768, 421, 135

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

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

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 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

GCD of numbers is the greatest common divisor

So, the GCD (674, 768, 421, 135) = 1.

Given numbers are 674, 768, 421, 135

The list of prime factors of all numbers are

Prime factors of 674 are 2 x 337

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 421 are 421

Prime factors of 135 are 3 x 3 x 3 x 5

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

Given numbers are 674, 768, 421, 135

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

Apply this formula for all numbers.

Step1:

LCM(674, 768) = 258816

GCD(674, 768) = ( 674 x 768 ) / 258816

= 674 / 768

= 674

Step2:

LCM(2, 421) = 842

GCD(2, 421) = ( 2 x 421 ) / 842

= 2 / 421

= 2

Step3:

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

= 1 / 135

= 1

So, Greatest Common Divisor of 674, 768, 421, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 693, 652, 278, 365
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Given numbers are 674, 768, 421, 135
The greatest common divisor of numbers 674, 768, 421, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 674, 768, 421, 135 is 1.

1. What is the GCD of 674, 768, 421, 135?

GCD of given numbers 674, 768, 421, 135 is 1

2. How to calculate the greatest common divisor of 674, 768, 421, 135?

We can find the highest common divisor of 674, 768, 421, 135 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 674, 768, 421, 135 i.e 1.

3. How can I use the GCD of 674, 768, 421, 135Calculator?

Out the numbers 674, 768, 421, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.