GCD of 957, 174, 177 Calculator
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 957, 174, 177 i.e. 3 largest integer that divides all the numbers equally.
GCD of 957, 174, 177 is 3
GCD(957, 174, 177) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 957, 174, 177 is 3
GCD(957, 174, 177) = 3
GCDof 957,174,177 is 3
Given Input numbers are 957, 174, 177
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 957
List of positive integer divisors of 957 that divides 957 without a remainder.
1, 3, 11, 29, 33, 87, 319, 957
Divisors of 174
List of positive integer divisors of 174 that divides 174 without a remainder.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Greatest Common Divisior
We found the divisors of 957, 174, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 957, 174, 177 is 3.
Therefore, GCD of numbers 957, 174, 177 is 3
Given Input Data is 957, 174, 177
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 957 is 3 x 11 x 29
Prime Factorization of 174 is 2 x 3 x 29
Prime Factorization of 177 is 3 x 59
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 957, 174, 177 using LCM Formula
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(957, 174) = 1914
GCD(957, 174) = ( 957 x 174 ) / 1914
GCD(957, 174) = 166518 / 1914
GCD(957, 174) = 87
Step2:
Here we consider the GCD from the above i.e. 87 as first number and the next as 177
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(87, 177) = 5133
GCD(87, 177) = ( 87 x 177 ) / 5133
GCD(87, 177) = 15399 / 5133
GCD(87, 177) = 3
GCD of 957, 174, 177 is 3
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FAQs on GCD of numbers 957, 174, 177
1. What is the GCD of 957, 174, 177?
GCD of 957, 174, 177 is 3
2. Where do I get the detailed procedure to find GCD of 957, 174, 177?
You can find a detailed procedure to find GCD of 957, 174, 177 on our page.
3. How to find GCD of 957, 174, 177 on a calculator?
You can find the GCD of 957, 174, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.