GCD of 746, 143, 269, 313 Calculator

Given Input numbers are 746, 143, 269, 313

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

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 143 :

The positive integer divisors of 143 that completely divides 143 are.

1, 11, 13, 143

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

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 (746, 143, 269, 313) = 1.

Given numbers are 746, 143, 269, 313

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

Prime factors of 143 are 11 x 13

Prime factors of 269 are 269

Prime factors of 313 are 313

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

Given numbers are 746, 143, 269, 313

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

Apply this formula for all numbers.

Step1:

LCM(746, 143) = 106678

GCD(746, 143) = ( 746 x 143 ) / 106678

= 746 / 143

= 746

Step2:

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

= 1 / 269

= 1

Step3:

LCM(1, 313) = 313

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

= 1 / 313

= 1

So, Greatest Common Divisor of 746, 143, 269, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 855, 492, 152, 132
• GCD of 882, 637, 971, 975
• GCD of 978, 131, 281, 516
• GCD of 916, 764, 314, 348
• GCD of 587, 245, 297, 399

Given numbers are 746, 143, 269, 313
The greatest common divisor of numbers 746, 143, 269, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 143, 269, 313 is 1.

1. What is the GCD of 746, 143, 269, 313?

GCD of given numbers 746, 143, 269, 313 is 1

2. How to calculate the greatest common divisor of 746, 143, 269, 313?

We can find the highest common divisor of 746, 143, 269, 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 746, 143, 269, 313 i.e 1.

3. How can I use the GCD of 746, 143, 269, 313Calculator?

Out the numbers 746, 143, 269, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.