Online GCD Calculator is useful to find the GCD of 724, 680, 141, 742 quickly. Get the easiest ways to solve the greatest common divisor of 724, 680, 141, 742 i.e 1 in different methods as follows.
Given Input numbers are 724, 680, 141, 742
In the factoring method, we have to find the divisors of all numbers
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 141 :
The positive integer divisors of 141 that completely divides 141 are.
1, 3, 47, 141
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
GCD of numbers is the greatest common divisor
So, the GCD (724, 680, 141, 742) = 1.
Given numbers are 724, 680, 141, 742
The list of prime factors of all numbers are
Prime factors of 724 are 2 x 2 x 181
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 141 are 3 x 47
Prime factors of 742 are 2 x 7 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 724, 680, 141, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(724, 680) = 123080
GCD(724, 680) = ( 724 x 680 ) / 123080
= 724 / 680
= 724
Step2:
LCM(4, 141) = 564
GCD(4, 141) = ( 4 x 141 ) / 564
= 4 / 141
= 4
Step3:
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
= 1 / 742
= 1
So, Greatest Common Divisor of 724, 680, 141, 742 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 724, 680, 141, 742
The greatest common divisor of numbers 724, 680, 141, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 680, 141, 742 is 1.
1. What is the GCD of 724, 680, 141, 742?
GCD of given numbers 724, 680, 141, 742 is 1
2. How to calculate the greatest common divisor of 724, 680, 141, 742?
We can find the highest common divisor of 724, 680, 141, 742 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 724, 680, 141, 742 i.e 1.
3. How can I use the GCD of 724, 680, 141, 742Calculator?
Out the numbers 724, 680, 141, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.