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 98, 755, 274, 435 i.e. 1 largest integer that divides all the numbers equally.
GCD of 98, 755, 274, 435 is 1
GCD(98, 755, 274, 435) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 98, 755, 274, 435 is 1
GCD(98, 755, 274, 435) = 1
Given Input numbers are 98, 755, 274, 435
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Divisors of 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
Divisors of 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Greatest Common Divisior
We found the divisors of 98, 755, 274, 435 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 755, 274, 435 is 1.
Therefore, GCD of numbers 98, 755, 274, 435 is 1
Given Input Data is 98, 755, 274, 435
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 755 is 5 x 151
Prime Factorization of 274 is 2 x 137
Prime Factorization of 435 is 3 x 5 x 29
The above numbers do not have any common prime factor. So GCD is 1
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(98, 755) = 73990
GCD(98, 755) = ( 98 x 755 ) / 73990
GCD(98, 755) = 73990 / 73990
GCD(98, 755) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 274
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 274) = 274
GCD(1, 274) = ( 1 x 274 ) / 274
GCD(1, 274) = 274 / 274
GCD(1, 274) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 435
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 435) = 435
GCD(1, 435) = ( 1 x 435 ) / 435
GCD(1, 435) = 435 / 435
GCD(1, 435) = 1
GCD of 98, 755, 274, 435 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 98, 755, 274, 435?
GCD of 98, 755, 274, 435 is 1
2. Where do I get the detailed procedure to find GCD of 98, 755, 274, 435?
You can find a detailed procedure to find GCD of 98, 755, 274, 435 on our page.
3. How to find GCD of 98, 755, 274, 435 on a calculator?
You can find the GCD of 98, 755, 274, 435 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.