GCD of 702, 147, 900 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 702, 147, 900 quickly. Get the easiest ways to solve the greatest common divisor of 702, 147, 900 i.e 3 in different methods as follows.
Given Input numbers are 702, 147, 900
In the factoring method, we have to find the divisors of all numbers
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
GCD of numbers is the greatest common divisor
So, the GCD (702, 147, 900) = 3.
Given numbers are 702, 147, 900
The list of prime factors of all numbers are
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 147 are 3 x 7 x 7
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 702, 147, 900 is 3.
Steps to Calculate GCD of 702, 147, 900 using LCM Formula
Given numbers are 702, 147, 900
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(702, 147) = 34398
GCD(702, 147) = ( 702 x 147 ) / 34398
= 702 / 147
= 702
Step2:
LCM(3, 900) = 900
GCD(3, 900) = ( 3 x 900 ) / 900
= 3 / 900
= 3
So, Greatest Common Divisor of 702, 147, 900 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 702, 147, 900
Given numbers are 702, 147, 900
The greatest common divisor of numbers 702, 147, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 147, 900 is 3.
FAQs on GCD of 702, 147, 900 Calculator
1. What is the GCD of 702, 147, 900?
GCD of given numbers 702, 147, 900 is 3
2. How to calculate the greatest common divisor of 702, 147, 900?
We can find the highest common divisor of 702, 147, 900 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 702, 147, 900 i.e 3.
3. How can I use the GCD of 702, 147, 900Calculator?
Out the numbers 702, 147, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.