Online GCD Calculator is useful to find the GCD of 748, 600, 844, 714 quickly. Get the easiest ways to solve the greatest common divisor of 748, 600, 844, 714 i.e 2 in different methods as follows.
Given Input numbers are 748, 600, 844, 714
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 844 :
The positive integer divisors of 844 that completely divides 844 are.
1, 2, 4, 211, 422, 844
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
GCD of numbers is the greatest common divisor
So, the GCD (748, 600, 844, 714) = 2.
Given numbers are 748, 600, 844, 714
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 844 are 2 x 2 x 211
Prime factors of 714 are 2 x 3 x 7 x 17
The highest common occurrence is 21
Therefore, GCD of 748, 600, 844, 714 is 2.
Given numbers are 748, 600, 844, 714
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 600) = 112200
GCD(748, 600) = ( 748 x 600 ) / 112200
= 748 / 600
= 748
Step2:
LCM(4, 844) = 844
GCD(4, 844) = ( 4 x 844 ) / 844
= 4 / 844
= 4
Step3:
LCM(4, 714) = 1428
GCD(4, 714) = ( 4 x 714 ) / 1428
= 4 / 714
= 4
So, Greatest Common Divisor of 748, 600, 844, 714 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 600, 844, 714
The greatest common divisor of numbers 748, 600, 844, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 600, 844, 714 is 2.
1. What is the GCD of 748, 600, 844, 714?
GCD of given numbers 748, 600, 844, 714 is 2
2. How to calculate the greatest common divisor of 748, 600, 844, 714?
We can find the highest common divisor of 748, 600, 844, 714 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 748, 600, 844, 714 i.e 2.
3. How can I use the GCD of 748, 600, 844, 714Calculator?
Out the numbers 748, 600, 844, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.