GCD of 987, 755, 983, 959 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 987, 755, 983, 959 quickly. Get the easiest ways to solve the greatest common divisor of 987, 755, 983, 959 i.e 1 in different methods as follows.
Given Input numbers are 987, 755, 983, 959
In the factoring method, we have to find the divisors of all numbers
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 755 :
The positive integer divisors of 755 that completely divides 755 are.
1, 5, 151, 755
Divisors of 983 :
The positive integer divisors of 983 that completely divides 983 are.
1, 983
Divisors of 959 :
The positive integer divisors of 959 that completely divides 959 are.
1, 7, 137, 959
GCD of numbers is the greatest common divisor
So, the GCD (987, 755, 983, 959) = 1.
Given numbers are 987, 755, 983, 959
The list of prime factors of all numbers are
Prime factors of 987 are 3 x 7 x 47
Prime factors of 755 are 5 x 151
Prime factors of 983 are 983
Prime factors of 959 are 7 x 137
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 987, 755, 983, 959 using LCM Formula
Given numbers are 987, 755, 983, 959
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(987, 755) = 745185
GCD(987, 755) = ( 987 x 755 ) / 745185
= 987 / 755
= 987
Step2:
LCM(1, 983) = 983
GCD(1, 983) = ( 1 x 983 ) / 983
= 1 / 983
= 1
Step3:
LCM(1, 959) = 959
GCD(1, 959) = ( 1 x 959 ) / 959
= 1 / 959
= 1
So, Greatest Common Divisor of 987, 755, 983, 959 is 1
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 987, 755, 983, 959
Given numbers are 987, 755, 983, 959
The greatest common divisor of numbers 987, 755, 983, 959 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 755, 983, 959 is 1.
FAQs on GCD of 987, 755, 983, 959 Calculator
1. What is the GCD of 987, 755, 983, 959?
GCD of given numbers 987, 755, 983, 959 is 1
2. How to calculate the greatest common divisor of 987, 755, 983, 959?
We can find the highest common divisor of 987, 755, 983, 959 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 987, 755, 983, 959 i.e 1.
3. How can I use the GCD of 987, 755, 983, 959Calculator?
Out the numbers 987, 755, 983, 959 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.