GCD of 988, 692, 900 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 988, 692, 900 quickly. Get the easiest ways to solve the greatest common divisor of 988, 692, 900 i.e 4 in different methods as follows.
Given Input numbers are 988, 692, 900
In the factoring method, we have to find the divisors of all numbers
Divisors of 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
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 (988, 692, 900) = 4.
Given numbers are 988, 692, 900
The list of prime factors of all numbers are
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 692 are 2 x 2 x 173
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
The highest common occurrence is 22
Therefore, GCD of 988, 692, 900 is 4.
Steps to Calculate GCD of 988, 692, 900 using LCM Formula
Given numbers are 988, 692, 900
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(988, 692) = 170924
GCD(988, 692) = ( 988 x 692 ) / 170924
= 988 / 692
= 988
Step2:
LCM(4, 900) = 900
GCD(4, 900) = ( 4 x 900 ) / 900
= 4 / 900
= 4
So, Greatest Common Divisor of 988, 692, 900 is 4
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 988, 692, 900
Given numbers are 988, 692, 900
The greatest common divisor of numbers 988, 692, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 692, 900 is 4.
FAQs on GCD of 988, 692, 900 Calculator
1. What is the GCD of 988, 692, 900?
GCD of given numbers 988, 692, 900 is 4
2. How to calculate the greatest common divisor of 988, 692, 900?
We can find the highest common divisor of 988, 692, 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 988, 692, 900 i.e 4.
3. How can I use the GCD of 988, 692, 900Calculator?
Out the numbers 988, 692, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.