LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 465, 948, 728, 702 Calculator

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


Online GCD Calculator is useful to find the GCD of 465, 948, 728, 702 quickly. Get the easiest ways to solve the greatest common divisor of 465, 948, 728, 702 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 465, 948, 728, 702 with Factoring?

Given Input numbers are 465, 948, 728, 702

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 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702


GCD of numbers is the greatest common divisor

So, the GCD (465, 948, 728, 702) = 1.

Find GCD of 465, 948, 728, 702 using Prime Factorization

Given numbers are 465, 948, 728, 702

The list of prime factors of all numbers are

Prime factors of 465 are 3 x 5 x 31

Prime factors of 948 are 2 x 2 x 3 x 79

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

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

Steps to Calculate GCD of 465, 948, 728, 702 using LCM Formula

Given numbers are 465, 948, 728, 702

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

Apply this formula for all numbers.

Step1:

LCM(465, 948) = 146940

GCD(465, 948) = ( 465 x 948 ) / 146940

= 465 / 948

= 465


Step2:

LCM(3, 728) = 2184

GCD(3, 728) = ( 3 x 728 ) / 2184

= 3 / 728

= 3


Step3:

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

= 1 / 702

= 1


So, Greatest Common Divisor of 465, 948, 728, 702 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 465, 948, 728, 702

Given numbers are 465, 948, 728, 702
The greatest common divisor of numbers 465, 948, 728, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 948, 728, 702 is 1.

FAQs on GCD of 465, 948, 728, 702 Calculator

1. What is the GCD of 465, 948, 728, 702?

GCD of given numbers 465, 948, 728, 702 is 1


2. How to calculate the greatest common divisor of 465, 948, 728, 702?

We can find the highest common divisor of 465, 948, 728, 702 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, 948, 728, 702 i.e 1.


3. How can I use the GCD of 465, 948, 728, 702Calculator?

Out the numbers 465, 948, 728, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.