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 690, 649, 725, 914 Calculator

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


Online GCD Calculator is useful to find the GCD of 690, 649, 725, 914 quickly. Get the easiest ways to solve the greatest common divisor of 690, 649, 725, 914 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 690, 649, 725, 914 with Factoring?

Given Input numbers are 690, 649, 725, 914

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

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914


GCD of numbers is the greatest common divisor

So, the GCD (690, 649, 725, 914) = 1.

Find GCD of 690, 649, 725, 914 using Prime Factorization

Given numbers are 690, 649, 725, 914

The list of prime factors of all numbers are

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 649 are 11 x 59

Prime factors of 725 are 5 x 5 x 29

Prime factors of 914 are 2 x 457

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

Steps to Calculate GCD of 690, 649, 725, 914 using LCM Formula

Given numbers are 690, 649, 725, 914

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

Apply this formula for all numbers.

Step1:

LCM(690, 649) = 447810

GCD(690, 649) = ( 690 x 649 ) / 447810

= 690 / 649

= 690


Step2:

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

= 1 / 725

= 1


Step3:

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

= 1 / 914

= 1


So, Greatest Common Divisor of 690, 649, 725, 914 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 690, 649, 725, 914

Given numbers are 690, 649, 725, 914
The greatest common divisor of numbers 690, 649, 725, 914 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 649, 725, 914 is 1.

FAQs on GCD of 690, 649, 725, 914 Calculator

1. What is the GCD of 690, 649, 725, 914?

GCD of given numbers 690, 649, 725, 914 is 1


2. How to calculate the greatest common divisor of 690, 649, 725, 914?

We can find the highest common divisor of 690, 649, 725, 914 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 690, 649, 725, 914 i.e 1.


3. How can I use the GCD of 690, 649, 725, 914Calculator?

Out the numbers 690, 649, 725, 914 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.