Online GCD Calculator is useful to find the GCD of 352, 788, 980, 564 quickly. Get the easiest ways to solve the greatest common divisor of 352, 788, 980, 564 i.e 4 in different methods as follows.
Given Input numbers are 352, 788, 980, 564
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 788 :
The positive integer divisors of 788 that completely divides 788 are.
1, 2, 4, 197, 394, 788
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 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
GCD of numbers is the greatest common divisor
So, the GCD (352, 788, 980, 564) = 4.
Given numbers are 352, 788, 980, 564
The list of prime factors of all numbers are
Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 788 are 2 x 2 x 197
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 564 are 2 x 2 x 3 x 47
The highest common occurrence is 22
Therefore, GCD of 352, 788, 980, 564 is 4.
Given numbers are 352, 788, 980, 564
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(352, 788) = 69344
GCD(352, 788) = ( 352 x 788 ) / 69344
= 352 / 788
= 352
Step2:
LCM(4, 980) = 980
GCD(4, 980) = ( 4 x 980 ) / 980
= 4 / 980
= 4
Step3:
LCM(4, 564) = 564
GCD(4, 564) = ( 4 x 564 ) / 564
= 4 / 564
= 4
So, Greatest Common Divisor of 352, 788, 980, 564 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 352, 788, 980, 564
The greatest common divisor of numbers 352, 788, 980, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 788, 980, 564 is 4.
1. What is the GCD of 352, 788, 980, 564?
GCD of given numbers 352, 788, 980, 564 is 4
2. How to calculate the greatest common divisor of 352, 788, 980, 564?
We can find the highest common divisor of 352, 788, 980, 564 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 352, 788, 980, 564 i.e 4.
3. How can I use the GCD of 352, 788, 980, 564Calculator?
Out the numbers 352, 788, 980, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.