Online GCD Calculator is useful to find the GCD of 980, 784, 362, 729 quickly. Get the easiest ways to solve the greatest common divisor of 980, 784, 362, 729 i.e 1 in different methods as follows.
Given Input numbers are 980, 784, 362, 729
In the factoring method, we have to find the divisors of all numbers
Divisors of 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
Divisors of 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
GCD of numbers is the greatest common divisor
So, the GCD (980, 784, 362, 729) = 1.
Given numbers are 980, 784, 362, 729
The list of prime factors of all numbers are
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 362 are 2 x 181
Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 980, 784, 362, 729
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(980, 784) = 3920
GCD(980, 784) = ( 980 x 784 ) / 3920
= 980 / 784
= 980
Step2:
LCM(196, 362) = 35476
GCD(196, 362) = ( 196 x 362 ) / 35476
= 196 / 362
= 196
Step3:
LCM(2, 729) = 1458
GCD(2, 729) = ( 2 x 729 ) / 1458
= 2 / 729
= 2
So, Greatest Common Divisor of 980, 784, 362, 729 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 980, 784, 362, 729
The greatest common divisor of numbers 980, 784, 362, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 784, 362, 729 is 1.
1. What is the GCD of 980, 784, 362, 729?
GCD of given numbers 980, 784, 362, 729 is 1
2. How to calculate the greatest common divisor of 980, 784, 362, 729?
We can find the highest common divisor of 980, 784, 362, 729 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 980, 784, 362, 729 i.e 1.
3. How can I use the GCD of 980, 784, 362, 729Calculator?
Out the numbers 980, 784, 362, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.