GCD of 892, 142, 87 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 892, 142, 87 quickly. Get the easiest ways to solve the greatest common divisor of 892, 142, 87 i.e 1 in different methods as follows.
Given Input numbers are 892, 142, 87
In the factoring method, we have to find the divisors of all numbers
Divisors of 892 :
The positive integer divisors of 892 that completely divides 892 are.
1, 2, 4, 223, 446, 892
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 87 :
The positive integer divisors of 87 that completely divides 87 are.
1, 3, 29, 87
GCD of numbers is the greatest common divisor
So, the GCD (892, 142, 87) = 1.
Given numbers are 892, 142, 87
The list of prime factors of all numbers are
Prime factors of 892 are 2 x 2 x 223
Prime factors of 142 are 2 x 71
Prime factors of 87 are 3 x 29
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 892, 142, 87 using LCM Formula
Given numbers are 892, 142, 87
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(892, 142) = 63332
GCD(892, 142) = ( 892 x 142 ) / 63332
= 892 / 142
= 892
Step2:
LCM(2, 87) = 174
GCD(2, 87) = ( 2 x 87 ) / 174
= 2 / 87
= 2
So, Greatest Common Divisor of 892, 142, 87 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 892, 142, 87
Given numbers are 892, 142, 87
The greatest common divisor of numbers 892, 142, 87 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 892, 142, 87 is 1.
FAQs on GCD of 892, 142, 87 Calculator
1. What is the GCD of 892, 142, 87?
GCD of given numbers 892, 142, 87 is 1
2. How to calculate the greatest common divisor of 892, 142, 87?
We can find the highest common divisor of 892, 142, 87 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 892, 142, 87 i.e 1.
3. How can I use the GCD of 892, 142, 87Calculator?
Out the numbers 892, 142, 87 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.