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 140, 940, 553, 425 i.e. 1 largest integer that divides all the numbers equally.
GCD of 140, 940, 553, 425 is 1
GCD(140, 940, 553, 425) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 140, 940, 553, 425 is 1
GCD(140, 940, 553, 425) = 1
Given Input numbers are 140, 940, 553, 425
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 553
List of positive integer divisors of 553 that divides 553 without a remainder.
1, 7, 79, 553
Divisors of 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Greatest Common Divisior
We found the divisors of 140, 940, 553, 425 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 940, 553, 425 is 1.
Therefore, GCD of numbers 140, 940, 553, 425 is 1
Given Input Data is 140, 940, 553, 425
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 140 is 2 x 2 x 5 x 7
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 553 is 7 x 79
Prime Factorization of 425 is 5 x 5 x 17
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(140, 940) = 6580
GCD(140, 940) = ( 140 x 940 ) / 6580
GCD(140, 940) = 131600 / 6580
GCD(140, 940) = 20
Step2:
Here we consider the GCD from the above i.e. 20 as first number and the next as 553
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(20, 553) = 11060
GCD(20, 553) = ( 20 x 553 ) / 11060
GCD(20, 553) = 11060 / 11060
GCD(20, 553) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 425
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 425) = 425
GCD(1, 425) = ( 1 x 425 ) / 425
GCD(1, 425) = 425 / 425
GCD(1, 425) = 1
GCD of 140, 940, 553, 425 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 140, 940, 553, 425?
GCD of 140, 940, 553, 425 is 1
2. Where do I get the detailed procedure to find GCD of 140, 940, 553, 425?
You can find a detailed procedure to find GCD of 140, 940, 553, 425 on our page.
3. How to find GCD of 140, 940, 553, 425 on a calculator?
You can find the GCD of 140, 940, 553, 425 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.