GCD of 357, 735, 60 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 357, 735, 60 quickly. Get the easiest ways to solve the greatest common divisor of 357, 735, 60 i.e 3 in different methods as follows.
Given Input numbers are 357, 735, 60
In the factoring method, we have to find the divisors of all numbers
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
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 60 :
The positive integer divisors of 60 that completely divides 60 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
GCD of numbers is the greatest common divisor
So, the GCD (357, 735, 60) = 3.
Given numbers are 357, 735, 60
The list of prime factors of all numbers are
Prime factors of 357 are 3 x 7 x 17
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 60 are 2 x 2 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 357, 735, 60 is 3.
Steps to Calculate GCD of 357, 735, 60 using LCM Formula
Given numbers are 357, 735, 60
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(357, 735) = 12495
GCD(357, 735) = ( 357 x 735 ) / 12495
= 357 / 735
= 357
Step2:
LCM(21, 60) = 420
GCD(21, 60) = ( 21 x 60 ) / 420
= 21 / 60
= 21
So, Greatest Common Divisor of 357, 735, 60 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 357, 735, 60
Given numbers are 357, 735, 60
The greatest common divisor of numbers 357, 735, 60 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 735, 60 is 3.
FAQs on GCD of 357, 735, 60 Calculator
1. What is the GCD of 357, 735, 60?
GCD of given numbers 357, 735, 60 is 3
2. How to calculate the greatest common divisor of 357, 735, 60?
We can find the highest common divisor of 357, 735, 60 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 357, 735, 60 i.e 3.
3. How can I use the GCD of 357, 735, 60Calculator?
Out the numbers 357, 735, 60 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.