GCD of 465, 524, 965, 313 Calculator

Given Input numbers are 465, 524, 965, 313

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

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965

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 (465, 524, 965, 313) = 1.

Given numbers are 465, 524, 965, 313

The list of prime factors of all numbers are

Prime factors of 465 are 3 x 5 x 31

Prime factors of 524 are 2 x 2 x 131

Prime factors of 965 are 5 x 193

Prime factors of 313 are 313

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

Given numbers are 465, 524, 965, 313

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

Apply this formula for all numbers.

Step1:

LCM(465, 524) = 243660

GCD(465, 524) = ( 465 x 524 ) / 243660

= 465 / 524

= 465

Step2:

LCM(1, 965) = 965

GCD(1, 965) = ( 1 x 965 ) / 965

= 1 / 965

= 1

Step3:

LCM(1, 313) = 313

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

= 1 / 313

= 1

So, Greatest Common Divisor of 465, 524, 965, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 998, 192, 794, 869
• GCD of 419, 135, 802, 969
• GCD of 749, 164, 751, 246
• GCD of 985, 648, 458, 550
• GCD of 257, 821, 860, 674

Given numbers are 465, 524, 965, 313
The greatest common divisor of numbers 465, 524, 965, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 524, 965, 313 is 1.

1. What is the GCD of 465, 524, 965, 313?

GCD of given numbers 465, 524, 965, 313 is 1

2. How to calculate the greatest common divisor of 465, 524, 965, 313?

We can find the highest common divisor of 465, 524, 965, 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 465, 524, 965, 313 i.e 1.

3. How can I use the GCD of 465, 524, 965, 313Calculator?

Out the numbers 465, 524, 965, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.