GCD of 770, 172, 240 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 770, 172, 240 quickly. Get the easiest ways to solve the greatest common divisor of 770, 172, 240 i.e 2 in different methods as follows.
Given Input numbers are 770, 172, 240
In the factoring method, we have to find the divisors of all numbers
Divisors of 770 :
The positive integer divisors of 770 that completely divides 770 are.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
GCD of numbers is the greatest common divisor
So, the GCD (770, 172, 240) = 2.
Given numbers are 770, 172, 240
The list of prime factors of all numbers are
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 172 are 2 x 2 x 43
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 770, 172, 240 is 2.
Steps to Calculate GCD of 770, 172, 240 using LCM Formula
Given numbers are 770, 172, 240
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(770, 172) = 66220
GCD(770, 172) = ( 770 x 172 ) / 66220
= 770 / 172
= 770
Step2:
LCM(2, 240) = 240
GCD(2, 240) = ( 2 x 240 ) / 240
= 2 / 240
= 2
So, Greatest Common Divisor of 770, 172, 240 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 770, 172, 240
Given numbers are 770, 172, 240
The greatest common divisor of numbers 770, 172, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 770, 172, 240 is 2.
FAQs on GCD of 770, 172, 240 Calculator
1. What is the GCD of 770, 172, 240?
GCD of given numbers 770, 172, 240 is 2
2. How to calculate the greatest common divisor of 770, 172, 240?
We can find the highest common divisor of 770, 172, 240 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 770, 172, 240 i.e 2.
3. How can I use the GCD of 770, 172, 240Calculator?
Out the numbers 770, 172, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.