GCD of 971, 208, 617, 967 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 971, 208, 617, 967 quickly. Get the easiest ways to solve the greatest common divisor of 971, 208, 617, 967 i.e 1 in different methods as follows.
Given Input numbers are 971, 208, 617, 967
In the factoring method, we have to find the divisors of all numbers
Divisors of 971 :
The positive integer divisors of 971 that completely divides 971 are.
1, 971
Divisors of 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 617 :
The positive integer divisors of 617 that completely divides 617 are.
1, 617
Divisors of 967 :
The positive integer divisors of 967 that completely divides 967 are.
1, 967
GCD of numbers is the greatest common divisor
So, the GCD (971, 208, 617, 967) = 1.
Given numbers are 971, 208, 617, 967
The list of prime factors of all numbers are
Prime factors of 971 are 971
Prime factors of 208 are 2 x 2 x 2 x 2 x 13
Prime factors of 617 are 617
Prime factors of 967 are 967
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 971, 208, 617, 967 using LCM Formula
Given numbers are 971, 208, 617, 967
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(971, 208) = 201968
GCD(971, 208) = ( 971 x 208 ) / 201968
= 971 / 208
= 971
Step2:
LCM(1, 617) = 617
GCD(1, 617) = ( 1 x 617 ) / 617
= 1 / 617
= 1
Step3:
LCM(1, 967) = 967
GCD(1, 967) = ( 1 x 967 ) / 967
= 1 / 967
= 1
So, Greatest Common Divisor of 971, 208, 617, 967 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 971, 208, 617, 967
Given numbers are 971, 208, 617, 967
The greatest common divisor of numbers 971, 208, 617, 967 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 971, 208, 617, 967 is 1.
FAQs on GCD of 971, 208, 617, 967 Calculator
1. What is the GCD of 971, 208, 617, 967?
GCD of given numbers 971, 208, 617, 967 is 1
2. How to calculate the greatest common divisor of 971, 208, 617, 967?
We can find the highest common divisor of 971, 208, 617, 967 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 971, 208, 617, 967 i.e 1.
3. How can I use the GCD of 971, 208, 617, 967Calculator?
Out the numbers 971, 208, 617, 967 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.