Online GCD Calculator is useful to find the GCD of 724, 890, 70, 426 quickly. Get the easiest ways to solve the greatest common divisor of 724, 890, 70, 426 i.e 2 in different methods as follows.
Given Input numbers are 724, 890, 70, 426
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 890 :
The positive integer divisors of 890 that completely divides 890 are.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 70 :
The positive integer divisors of 70 that completely divides 70 are.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
GCD of numbers is the greatest common divisor
So, the GCD (724, 890, 70, 426) = 2.
Given numbers are 724, 890, 70, 426
The list of prime factors of all numbers are
Prime factors of 724 are 2 x 2 x 181
Prime factors of 890 are 2 x 5 x 89
Prime factors of 70 are 2 x 5 x 7
Prime factors of 426 are 2 x 3 x 71
The highest common occurrence is 21
Therefore, GCD of 724, 890, 70, 426 is 2.
Given numbers are 724, 890, 70, 426
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(724, 890) = 322180
GCD(724, 890) = ( 724 x 890 ) / 322180
= 724 / 890
= 724
Step2:
LCM(2, 70) = 70
GCD(2, 70) = ( 2 x 70 ) / 70
= 2 / 70
= 2
Step3:
LCM(2, 426) = 426
GCD(2, 426) = ( 2 x 426 ) / 426
= 2 / 426
= 2
So, Greatest Common Divisor of 724, 890, 70, 426 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 724, 890, 70, 426
The greatest common divisor of numbers 724, 890, 70, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 890, 70, 426 is 2.
1. What is the GCD of 724, 890, 70, 426?
GCD of given numbers 724, 890, 70, 426 is 2
2. How to calculate the greatest common divisor of 724, 890, 70, 426?
We can find the highest common divisor of 724, 890, 70, 426 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, 890, 70, 426 i.e 2.
3. How can I use the GCD of 724, 890, 70, 426Calculator?
Out the numbers 724, 890, 70, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.