Online GCD Calculator is useful to find the GCD of 882, 780, 610, 748 quickly. Get the easiest ways to solve the greatest common divisor of 882, 780, 610, 748 i.e 2 in different methods as follows.
Given Input numbers are 882, 780, 610, 748
In the factoring method, we have to find the divisors of all numbers
Divisors of 882 :
The positive integer divisors of 882 that completely divides 882 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 610 :
The positive integer divisors of 610 that completely divides 610 are.
1, 2, 5, 10, 61, 122, 305, 610
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
GCD of numbers is the greatest common divisor
So, the GCD (882, 780, 610, 748) = 2.
Given numbers are 882, 780, 610, 748
The list of prime factors of all numbers are
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 610 are 2 x 5 x 61
Prime factors of 748 are 2 x 2 x 11 x 17
The highest common occurrence is 21
Therefore, GCD of 882, 780, 610, 748 is 2.
Given numbers are 882, 780, 610, 748
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(882, 780) = 114660
GCD(882, 780) = ( 882 x 780 ) / 114660
= 882 / 780
= 882
Step2:
LCM(6, 610) = 1830
GCD(6, 610) = ( 6 x 610 ) / 1830
= 6 / 610
= 6
Step3:
LCM(2, 748) = 748
GCD(2, 748) = ( 2 x 748 ) / 748
= 2 / 748
= 2
So, Greatest Common Divisor of 882, 780, 610, 748 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 882, 780, 610, 748
The greatest common divisor of numbers 882, 780, 610, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 780, 610, 748 is 2.
1. What is the GCD of 882, 780, 610, 748?
GCD of given numbers 882, 780, 610, 748 is 2
2. How to calculate the greatest common divisor of 882, 780, 610, 748?
We can find the highest common divisor of 882, 780, 610, 748 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 882, 780, 610, 748 i.e 2.
3. How can I use the GCD of 882, 780, 610, 748Calculator?
Out the numbers 882, 780, 610, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.