GCD of 802, 152, 556, 359 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 802, 152, 556, 359 quickly. Get the easiest ways to solve the greatest common divisor of 802, 152, 556, 359 i.e 1 in different methods as follows.
Given Input numbers are 802, 152, 556, 359
In the factoring method, we have to find the divisors of all numbers
Divisors of 802 :
The positive integer divisors of 802 that completely divides 802 are.
1, 2, 401, 802
Divisors of 152 :
The positive integer divisors of 152 that completely divides 152 are.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 556 :
The positive integer divisors of 556 that completely divides 556 are.
1, 2, 4, 139, 278, 556
Divisors of 359 :
The positive integer divisors of 359 that completely divides 359 are.
1, 359
GCD of numbers is the greatest common divisor
So, the GCD (802, 152, 556, 359) = 1.
Given numbers are 802, 152, 556, 359
The list of prime factors of all numbers are
Prime factors of 802 are 2 x 401
Prime factors of 152 are 2 x 2 x 2 x 19
Prime factors of 556 are 2 x 2 x 139
Prime factors of 359 are 359
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 802, 152, 556, 359 using LCM Formula
Given numbers are 802, 152, 556, 359
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(802, 152) = 60952
GCD(802, 152) = ( 802 x 152 ) / 60952
= 802 / 152
= 802
Step2:
LCM(2, 556) = 556
GCD(2, 556) = ( 2 x 556 ) / 556
= 2 / 556
= 2
Step3:
LCM(2, 359) = 718
GCD(2, 359) = ( 2 x 359 ) / 718
= 2 / 359
= 2
So, Greatest Common Divisor of 802, 152, 556, 359 is 1
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 802, 152, 556, 359
Given numbers are 802, 152, 556, 359
The greatest common divisor of numbers 802, 152, 556, 359 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 802, 152, 556, 359 is 1.
FAQs on GCD of 802, 152, 556, 359 Calculator
1. What is the GCD of 802, 152, 556, 359?
GCD of given numbers 802, 152, 556, 359 is 1
2. How to calculate the greatest common divisor of 802, 152, 556, 359?
We can find the highest common divisor of 802, 152, 556, 359 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 802, 152, 556, 359 i.e 1.
3. How can I use the GCD of 802, 152, 556, 359Calculator?
Out the numbers 802, 152, 556, 359 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.