Online GCD Calculator is useful to find the GCD of 826, 610, 740, 748 quickly. Get the easiest ways to solve the greatest common divisor of 826, 610, 740, 748 i.e 2 in different methods as follows.
Given Input numbers are 826, 610, 740, 748
In the factoring method, we have to find the divisors of all numbers
Divisors of 826 :
The positive integer divisors of 826 that completely divides 826 are.
1, 2, 7, 14, 59, 118, 413, 826
Divisors of 610 :
The positive integer divisors of 610 that completely divides 610 are.
1, 2, 5, 10, 61, 122, 305, 610
Divisors of 740 :
The positive integer divisors of 740 that completely divides 740 are.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
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 (826, 610, 740, 748) = 2.
Given numbers are 826, 610, 740, 748
The list of prime factors of all numbers are
Prime factors of 826 are 2 x 7 x 59
Prime factors of 610 are 2 x 5 x 61
Prime factors of 740 are 2 x 2 x 5 x 37
Prime factors of 748 are 2 x 2 x 11 x 17
The highest common occurrence is 21
Therefore, GCD of 826, 610, 740, 748 is 2.
Given numbers are 826, 610, 740, 748
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(826, 610) = 251930
GCD(826, 610) = ( 826 x 610 ) / 251930
= 826 / 610
= 826
Step2:
LCM(2, 740) = 740
GCD(2, 740) = ( 2 x 740 ) / 740
= 2 / 740
= 2
Step3:
LCM(2, 748) = 748
GCD(2, 748) = ( 2 x 748 ) / 748
= 2 / 748
= 2
So, Greatest Common Divisor of 826, 610, 740, 748 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 826, 610, 740, 748
The greatest common divisor of numbers 826, 610, 740, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 826, 610, 740, 748 is 2.
1. What is the GCD of 826, 610, 740, 748?
GCD of given numbers 826, 610, 740, 748 is 2
2. How to calculate the greatest common divisor of 826, 610, 740, 748?
We can find the highest common divisor of 826, 610, 740, 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 826, 610, 740, 748 i.e 2.
3. How can I use the GCD of 826, 610, 740, 748Calculator?
Out the numbers 826, 610, 740, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.