GCD of 735, 649, 471, 772 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 735, 649, 471, 772 quickly. Get the easiest ways to solve the greatest common divisor of 735, 649, 471, 772 i.e 1 in different methods as follows.
Given Input numbers are 735, 649, 471, 772
In the factoring method, we have to find the divisors of all numbers
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 649 :
The positive integer divisors of 649 that completely divides 649 are.
1, 11, 59, 649
Divisors of 471 :
The positive integer divisors of 471 that completely divides 471 are.
1, 3, 157, 471
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
GCD of numbers is the greatest common divisor
So, the GCD (735, 649, 471, 772) = 1.
Given numbers are 735, 649, 471, 772
The list of prime factors of all numbers are
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 649 are 11 x 59
Prime factors of 471 are 3 x 157
Prime factors of 772 are 2 x 2 x 193
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 735, 649, 471, 772 using LCM Formula
Given numbers are 735, 649, 471, 772
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(735, 649) = 477015
GCD(735, 649) = ( 735 x 649 ) / 477015
= 735 / 649
= 735
Step2:
LCM(1, 471) = 471
GCD(1, 471) = ( 1 x 471 ) / 471
= 1 / 471
= 1
Step3:
LCM(1, 772) = 772
GCD(1, 772) = ( 1 x 772 ) / 772
= 1 / 772
= 1
So, Greatest Common Divisor of 735, 649, 471, 772 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 735, 649, 471, 772
Given numbers are 735, 649, 471, 772
The greatest common divisor of numbers 735, 649, 471, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 649, 471, 772 is 1.
FAQs on GCD of 735, 649, 471, 772 Calculator
1. What is the GCD of 735, 649, 471, 772?
GCD of given numbers 735, 649, 471, 772 is 1
2. How to calculate the greatest common divisor of 735, 649, 471, 772?
We can find the highest common divisor of 735, 649, 471, 772 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 735, 649, 471, 772 i.e 1.
3. How can I use the GCD of 735, 649, 471, 772Calculator?
Out the numbers 735, 649, 471, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.