GCD of 133, 849, 735, 313 Calculator

Given Input numbers are 133, 849, 735, 313

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

Divisors of 133 :

The positive integer divisors of 133 that completely divides 133 are.

1, 7, 19, 133

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

GCD of numbers is the greatest common divisor

So, the GCD (133, 849, 735, 313) = 1.

Given numbers are 133, 849, 735, 313

The list of prime factors of all numbers are

Prime factors of 133 are 7 x 19

Prime factors of 849 are 3 x 283

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 313 are 313

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

Given numbers are 133, 849, 735, 313

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

Apply this formula for all numbers.

Step1:

LCM(133, 849) = 112917

GCD(133, 849) = ( 133 x 849 ) / 112917

= 133 / 849

= 133

Step2:

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

= 1 / 735

= 1

Step3:

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

= 1 / 313

= 1

So, Greatest Common Divisor of 133, 849, 735, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 976, 359, 400, 130
• GCD of 491, 423, 638, 130
• GCD of 312, 314, 115, 270
• GCD of 230, 628, 713, 342
• GCD of 879, 666, 450, 249

Given numbers are 133, 849, 735, 313
The greatest common divisor of numbers 133, 849, 735, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 133, 849, 735, 313 is 1.

1. What is the GCD of 133, 849, 735, 313?

GCD of given numbers 133, 849, 735, 313 is 1

2. How to calculate the greatest common divisor of 133, 849, 735, 313?

We can find the highest common divisor of 133, 849, 735, 313 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 133, 849, 735, 313 i.e 1.

3. How can I use the GCD of 133, 849, 735, 313Calculator?

Out the numbers 133, 849, 735, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.