Online GCD Calculator is useful to find the GCD of 980, 226, 782, 352 quickly. Get the easiest ways to solve the greatest common divisor of 980, 226, 782, 352 i.e 2 in different methods as follows.
Given Input numbers are 980, 226, 782, 352
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 226 :
The positive integer divisors of 226 that completely divides 226 are.
1, 2, 113, 226
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 352 :
The positive integer divisors of 352 that completely divides 352 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
GCD of numbers is the greatest common divisor
So, the GCD (980, 226, 782, 352) = 2.
Given numbers are 980, 226, 782, 352
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 226 are 2 x 113
Prime factors of 782 are 2 x 17 x 23
Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11
The highest common occurrence is 21
Therefore, GCD of 980, 226, 782, 352 is 2.
Given numbers are 980, 226, 782, 352
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(980, 226) = 110740
GCD(980, 226) = ( 980 x 226 ) / 110740
= 980 / 226
= 980
Step2:
LCM(2, 782) = 782
GCD(2, 782) = ( 2 x 782 ) / 782
= 2 / 782
= 2
Step3:
LCM(2, 352) = 352
GCD(2, 352) = ( 2 x 352 ) / 352
= 2 / 352
= 2
So, Greatest Common Divisor of 980, 226, 782, 352 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 980, 226, 782, 352
The greatest common divisor of numbers 980, 226, 782, 352 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 226, 782, 352 is 2.
1. What is the GCD of 980, 226, 782, 352?
GCD of given numbers 980, 226, 782, 352 is 2
2. How to calculate the greatest common divisor of 980, 226, 782, 352?
We can find the highest common divisor of 980, 226, 782, 352 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, 226, 782, 352 i.e 2.
3. How can I use the GCD of 980, 226, 782, 352Calculator?
Out the numbers 980, 226, 782, 352 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.