GCD of 91, 49, 25, 67 Calculator
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 91, 49, 25, 67 i.e. 1 largest integer that divides all the numbers equally.
GCD of 91, 49, 25, 67 is 1
GCD(91, 49, 25, 67) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 91, 49, 25, 67 is 1
GCD(91, 49, 25, 67) = 1
GCDof 91,49,25,67 is 1
Given Input numbers are 91, 49, 25, 67
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Greatest Common Divisior
We found the divisors of 91, 49, 25, 67 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 91, 49, 25, 67 is 1.
Therefore, GCD of numbers 91, 49, 25, 67 is 1
Given Input Data is 91, 49, 25, 67
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 91 is 7 x 13
Prime Factorization of 49 is 7 x 7
Prime Factorization of 25 is 5 x 5
Prime Factorization of 67 is 67
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 91, 49, 25, 67 using LCM Formula
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(91, 49) = 637
GCD(91, 49) = ( 91 x 49 ) / 637
GCD(91, 49) = 4459 / 637
GCD(91, 49) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 25) = 175
GCD(7, 25) = ( 7 x 25 ) / 175
GCD(7, 25) = 175 / 175
GCD(7, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 67) = 67
GCD(1, 67) = ( 1 x 67 ) / 67
GCD(1, 67) = 67 / 67
GCD(1, 67) = 1
GCD of 91, 49, 25, 67 is 1
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FAQs on GCD of numbers 91, 49, 25, 67
1. What is the GCD of 91, 49, 25, 67?
GCD of 91, 49, 25, 67 is 1
2. Where do I get the detailed procedure to find GCD of 91, 49, 25, 67?
You can find a detailed procedure to find GCD of 91, 49, 25, 67 on our page.
3. How to find GCD of 91, 49, 25, 67 on a calculator?
You can find the GCD of 91, 49, 25, 67 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.