GCD of 98, 71, 49, 31 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 98, 71, 49, 31 quickly. Get the easiest ways to solve the greatest common divisor of 98, 71, 49, 31 i.e 1 in different methods as follows.
Given Input numbers are 98, 71, 49, 31
In the factoring method, we have to find the divisors of all numbers
Divisors of 98 :
The positive integer divisors of 98 that completely divides 98 are.
1, 2, 7, 14, 49, 98
Divisors of 71 :
The positive integer divisors of 71 that completely divides 71 are.
1, 71
Divisors of 49 :
The positive integer divisors of 49 that completely divides 49 are.
1, 7, 49
Divisors of 31 :
The positive integer divisors of 31 that completely divides 31 are.
1, 31
GCD of numbers is the greatest common divisor
So, the GCD (98, 71, 49, 31) = 1.
Given numbers are 98, 71, 49, 31
The list of prime factors of all numbers are
Prime factors of 98 are 2 x 7 x 7
Prime factors of 71 are 71
Prime factors of 49 are 7 x 7
Prime factors of 31 are 31
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 98, 71, 49, 31 using LCM Formula
Given numbers are 98, 71, 49, 31
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(98, 71) = 6958
GCD(98, 71) = ( 98 x 71 ) / 6958
= 98 / 71
= 98
Step2:
LCM(1, 49) = 49
GCD(1, 49) = ( 1 x 49 ) / 49
= 1 / 49
= 1
Step3:
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
= 1 / 31
= 1
So, Greatest Common Divisor of 98, 71, 49, 31 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 98, 71, 49, 31
Given numbers are 98, 71, 49, 31
The greatest common divisor of numbers 98, 71, 49, 31 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 98, 71, 49, 31 is 1.
FAQs on GCD of 98, 71, 49, 31 Calculator
1. What is the GCD of 98, 71, 49, 31?
GCD of given numbers 98, 71, 49, 31 is 1
2. How to calculate the greatest common divisor of 98, 71, 49, 31?
We can find the highest common divisor of 98, 71, 49, 31 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 98, 71, 49, 31 i.e 1.
3. How can I use the GCD of 98, 71, 49, 31Calculator?
Out the numbers 98, 71, 49, 31 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.