Online GCD Calculator is useful to find the GCD of 980, 418, 450, 710 quickly. Get the easiest ways to solve the greatest common divisor of 980, 418, 450, 710 i.e 2 in different methods as follows.
Given Input numbers are 980, 418, 450, 710
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 418 :
The positive integer divisors of 418 that completely divides 418 are.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 710 :
The positive integer divisors of 710 that completely divides 710 are.
1, 2, 5, 10, 71, 142, 355, 710
GCD of numbers is the greatest common divisor
So, the GCD (980, 418, 450, 710) = 2.
Given numbers are 980, 418, 450, 710
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 418 are 2 x 11 x 19
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 710 are 2 x 5 x 71
The highest common occurrence is 21
Therefore, GCD of 980, 418, 450, 710 is 2.
Given numbers are 980, 418, 450, 710
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(980, 418) = 204820
GCD(980, 418) = ( 980 x 418 ) / 204820
= 980 / 418
= 980
Step2:
LCM(2, 450) = 450
GCD(2, 450) = ( 2 x 450 ) / 450
= 2 / 450
= 2
Step3:
LCM(2, 710) = 710
GCD(2, 710) = ( 2 x 710 ) / 710
= 2 / 710
= 2
So, Greatest Common Divisor of 980, 418, 450, 710 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 980, 418, 450, 710
The greatest common divisor of numbers 980, 418, 450, 710 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 418, 450, 710 is 2.
1. What is the GCD of 980, 418, 450, 710?
GCD of given numbers 980, 418, 450, 710 is 2
2. How to calculate the greatest common divisor of 980, 418, 450, 710?
We can find the highest common divisor of 980, 418, 450, 710 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, 418, 450, 710 i.e 2.
3. How can I use the GCD of 980, 418, 450, 710Calculator?
Out the numbers 980, 418, 450, 710 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.