GCD of 691, 471, 314, 135 Calculator

Given Input numbers are 691, 471, 314, 135

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

Divisors of 691 :

The positive integer divisors of 691 that completely divides 691 are.

1, 691

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

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 (691, 471, 314, 135) = 1.

Given numbers are 691, 471, 314, 135

The list of prime factors of all numbers are

Prime factors of 691 are 691

Prime factors of 471 are 3 x 157

Prime factors of 314 are 2 x 157

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 691, 471, 314, 135

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

Apply this formula for all numbers.

Step1:

LCM(691, 471) = 325461

GCD(691, 471) = ( 691 x 471 ) / 325461

= 691 / 471

= 691

Step2:

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

= 1 / 314

= 1

Step3:

LCM(1, 135) = 135

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

= 1 / 135

= 1

So, Greatest Common Divisor of 691, 471, 314, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 714, 321, 594, 807
• GCD of 558, 361, 314, 385
• GCD of 541, 366, 969, 925
• GCD of 589, 615, 778, 918
• GCD of 895, 556, 458, 675

Given numbers are 691, 471, 314, 135
The greatest common divisor of numbers 691, 471, 314, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 691, 471, 314, 135 is 1.

1. What is the GCD of 691, 471, 314, 135?

GCD of given numbers 691, 471, 314, 135 is 1

2. How to calculate the greatest common divisor of 691, 471, 314, 135?

We can find the highest common divisor of 691, 471, 314, 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 691, 471, 314, 135 i.e 1.

3. How can I use the GCD of 691, 471, 314, 135Calculator?

Out the numbers 691, 471, 314, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.