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, 930, 64, 101 i.e. 1 largest integer that divides all the numbers equally.
GCD of 140, 930, 64, 101 is 1
GCD(140, 930, 64, 101) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 140, 930, 64, 101 is 1
GCD(140, 930, 64, 101) = 1
Given Input numbers are 140, 930, 64, 101
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 930
List of positive integer divisors of 930 that divides 930 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Greatest Common Divisior
We found the divisors of 140, 930, 64, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 930, 64, 101 is 1.
Therefore, GCD of numbers 140, 930, 64, 101 is 1
Given Input Data is 140, 930, 64, 101
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 930 is 2 x 3 x 5 x 31
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 101 is 101
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, 930) = 13020
GCD(140, 930) = ( 140 x 930 ) / 13020
GCD(140, 930) = 130200 / 13020
GCD(140, 930) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 64) = 320
GCD(10, 64) = ( 10 x 64 ) / 320
GCD(10, 64) = 640 / 320
GCD(10, 64) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 101
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 101) = 202
GCD(2, 101) = ( 2 x 101 ) / 202
GCD(2, 101) = 202 / 202
GCD(2, 101) = 1
GCD of 140, 930, 64, 101 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 140, 930, 64, 101?
GCD of 140, 930, 64, 101 is 1
2. Where do I get the detailed procedure to find GCD of 140, 930, 64, 101?
You can find a detailed procedure to find GCD of 140, 930, 64, 101 on our page.
3. How to find GCD of 140, 930, 64, 101 on a calculator?
You can find the GCD of 140, 930, 64, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.