GCD of 685, 175, 972 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 685, 175, 972 quickly. Get the easiest ways to solve the greatest common divisor of 685, 175, 972 i.e 1 in different methods as follows.
Given Input numbers are 685, 175, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 685 :
The positive integer divisors of 685 that completely divides 685 are.
1, 5, 137, 685
Divisors of 175 :
The positive integer divisors of 175 that completely divides 175 are.
1, 5, 7, 25, 35, 175
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
GCD of numbers is the greatest common divisor
So, the GCD (685, 175, 972) = 1.
Given numbers are 685, 175, 972
The list of prime factors of all numbers are
Prime factors of 685 are 5 x 137
Prime factors of 175 are 5 x 5 x 7
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 685, 175, 972 using LCM Formula
Given numbers are 685, 175, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(685, 175) = 23975
GCD(685, 175) = ( 685 x 175 ) / 23975
= 685 / 175
= 685
Step2:
LCM(5, 972) = 4860
GCD(5, 972) = ( 5 x 972 ) / 4860
= 5 / 972
= 5
So, Greatest Common Divisor of 685, 175, 972 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 685, 175, 972
Given numbers are 685, 175, 972
The greatest common divisor of numbers 685, 175, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 685, 175, 972 is 1.
FAQs on GCD of 685, 175, 972 Calculator
1. What is the GCD of 685, 175, 972?
GCD of given numbers 685, 175, 972 is 1
2. How to calculate the greatest common divisor of 685, 175, 972?
We can find the highest common divisor of 685, 175, 972 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 685, 175, 972 i.e 1.
3. How can I use the GCD of 685, 175, 972Calculator?
Out the numbers 685, 175, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.