GCD of 315, 354, 91, 746 Calculator

Given Input numbers are 315, 354, 91, 746

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

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 91 :

The positive integer divisors of 91 that completely divides 91 are.

1, 7, 13, 91

Divisors of 746 :

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

1, 2, 373, 746

GCD of numbers is the greatest common divisor

So, the GCD (315, 354, 91, 746) = 1.

Given numbers are 315, 354, 91, 746

The list of prime factors of all numbers are

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 354 are 2 x 3 x 59

Prime factors of 91 are 7 x 13

Prime factors of 746 are 2 x 373

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

Given numbers are 315, 354, 91, 746

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

Apply this formula for all numbers.

Step1:

LCM(315, 354) = 37170

GCD(315, 354) = ( 315 x 354 ) / 37170

= 315 / 354

= 315

Step2:

LCM(3, 91) = 273

GCD(3, 91) = ( 3 x 91 ) / 273

= 3 / 91

= 3

Step3:

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

= 1 / 746

= 1

So, Greatest Common Divisor of 315, 354, 91, 746 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 917, 505, 47, 801
• GCD of 172, 106, 20, 540
• GCD of 148, 945, 91, 630
• GCD of 687, 534, 13, 807
• GCD of 946, 841, 52, 267

Given numbers are 315, 354, 91, 746
The greatest common divisor of numbers 315, 354, 91, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 354, 91, 746 is 1.

1. What is the GCD of 315, 354, 91, 746?

GCD of given numbers 315, 354, 91, 746 is 1

2. How to calculate the greatest common divisor of 315, 354, 91, 746?

We can find the highest common divisor of 315, 354, 91, 746 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 315, 354, 91, 746 i.e 1.

3. How can I use the GCD of 315, 354, 91, 746Calculator?

Out the numbers 315, 354, 91, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.