GCD of 361, 220, 735 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 361, 220, 735 quickly. Get the easiest ways to solve the greatest common divisor of 361, 220, 735 i.e 1 in different methods as follows.
Given Input numbers are 361, 220, 735
In the factoring method, we have to find the divisors of all numbers
Divisors of 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
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
GCD of numbers is the greatest common divisor
So, the GCD (361, 220, 735) = 1.
Given numbers are 361, 220, 735
The list of prime factors of all numbers are
Prime factors of 361 are 19 x 19
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 735 are 3 x 5 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 361, 220, 735 using LCM Formula
Given numbers are 361, 220, 735
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(361, 220) = 79420
GCD(361, 220) = ( 361 x 220 ) / 79420
= 361 / 220
= 361
Step2:
LCM(1, 735) = 735
GCD(1, 735) = ( 1 x 735 ) / 735
= 1 / 735
= 1
So, Greatest Common Divisor of 361, 220, 735 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 361, 220, 735
Given numbers are 361, 220, 735
The greatest common divisor of numbers 361, 220, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 361, 220, 735 is 1.
FAQs on GCD of 361, 220, 735 Calculator
1. What is the GCD of 361, 220, 735?
GCD of given numbers 361, 220, 735 is 1
2. How to calculate the greatest common divisor of 361, 220, 735?
We can find the highest common divisor of 361, 220, 735 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 361, 220, 735 i.e 1.
3. How can I use the GCD of 361, 220, 735Calculator?
Out the numbers 361, 220, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.