Online GCD Calculator is useful to find the GCD of 140, 605, 724, 424 quickly. Get the easiest ways to solve the greatest common divisor of 140, 605, 724, 424 i.e 1 in different methods as follows.
Given Input numbers are 140, 605, 724, 424
In the factoring method, we have to find the divisors of all numbers
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 605 :
The positive integer divisors of 605 that completely divides 605 are.
1, 5, 11, 55, 121, 605
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 424 :
The positive integer divisors of 424 that completely divides 424 are.
1, 2, 4, 8, 53, 106, 212, 424
GCD of numbers is the greatest common divisor
So, the GCD (140, 605, 724, 424) = 1.
Given numbers are 140, 605, 724, 424
The list of prime factors of all numbers are
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 605 are 5 x 11 x 11
Prime factors of 724 are 2 x 2 x 181
Prime factors of 424 are 2 x 2 x 2 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 140, 605, 724, 424
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(140, 605) = 16940
GCD(140, 605) = ( 140 x 605 ) / 16940
= 140 / 605
= 140
Step2:
LCM(5, 724) = 3620
GCD(5, 724) = ( 5 x 724 ) / 3620
= 5 / 724
= 5
Step3:
LCM(1, 424) = 424
GCD(1, 424) = ( 1 x 424 ) / 424
= 1 / 424
= 1
So, Greatest Common Divisor of 140, 605, 724, 424 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 140, 605, 724, 424
The greatest common divisor of numbers 140, 605, 724, 424 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 605, 724, 424 is 1.
1. What is the GCD of 140, 605, 724, 424?
GCD of given numbers 140, 605, 724, 424 is 1
2. How to calculate the greatest common divisor of 140, 605, 724, 424?
We can find the highest common divisor of 140, 605, 724, 424 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 140, 605, 724, 424 i.e 1.
3. How can I use the GCD of 140, 605, 724, 424Calculator?
Out the numbers 140, 605, 724, 424 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.