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GCD of 945, 345, 528, 685 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 945, 345, 528, 685 quickly. Get the easiest ways to solve the greatest common divisor of 945, 345, 528, 685 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 945, 345, 528, 685 with Factoring?

Given Input numbers are 945, 345, 528, 685

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

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 685 :

The positive integer divisors of 685 that completely divides 685 are.

1, 5, 137, 685


GCD of numbers is the greatest common divisor

So, the GCD (945, 345, 528, 685) = 1.

Find GCD of 945, 345, 528, 685 using Prime Factorization

Given numbers are 945, 345, 528, 685

The list of prime factors of all numbers are

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 345 are 3 x 5 x 23

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 685 are 5 x 137

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

Steps to Calculate GCD of 945, 345, 528, 685 using LCM Formula

Given numbers are 945, 345, 528, 685

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

Apply this formula for all numbers.

Step1:

LCM(945, 345) = 21735

GCD(945, 345) = ( 945 x 345 ) / 21735

= 945 / 345

= 945


Step2:

LCM(15, 528) = 2640

GCD(15, 528) = ( 15 x 528 ) / 2640

= 15 / 528

= 15


Step3:

LCM(3, 685) = 2055

GCD(3, 685) = ( 3 x 685 ) / 2055

= 3 / 685

= 3


So, Greatest Common Divisor of 945, 345, 528, 685 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 945, 345, 528, 685

Given numbers are 945, 345, 528, 685
The greatest common divisor of numbers 945, 345, 528, 685 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 345, 528, 685 is 1.

FAQs on GCD of 945, 345, 528, 685 Calculator

1. What is the GCD of 945, 345, 528, 685?

GCD of given numbers 945, 345, 528, 685 is 1


2. How to calculate the greatest common divisor of 945, 345, 528, 685?

We can find the highest common divisor of 945, 345, 528, 685 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 945, 345, 528, 685 i.e 1.


3. How can I use the GCD of 945, 345, 528, 685Calculator?

Out the numbers 945, 345, 528, 685 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.