Online GCD Calculator is useful to find the GCD of 824, 740, 334, 624 quickly. Get the easiest ways to solve the greatest common divisor of 824, 740, 334, 624 i.e 2 in different methods as follows.
Given Input numbers are 824, 740, 334, 624
In the factoring method, we have to find the divisors of all numbers
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
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 334 :
The positive integer divisors of 334 that completely divides 334 are.
1, 2, 167, 334
Divisors of 624 :
The positive integer divisors of 624 that completely divides 624 are.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
GCD of numbers is the greatest common divisor
So, the GCD (824, 740, 334, 624) = 2.
Given numbers are 824, 740, 334, 624
The list of prime factors of all numbers are
Prime factors of 824 are 2 x 2 x 2 x 103
Prime factors of 740 are 2 x 2 x 5 x 37
Prime factors of 334 are 2 x 167
Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 824, 740, 334, 624 is 2.
Given numbers are 824, 740, 334, 624
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(824, 740) = 152440
GCD(824, 740) = ( 824 x 740 ) / 152440
= 824 / 740
= 824
Step2:
LCM(4, 334) = 668
GCD(4, 334) = ( 4 x 334 ) / 668
= 4 / 334
= 4
Step3:
LCM(2, 624) = 624
GCD(2, 624) = ( 2 x 624 ) / 624
= 2 / 624
= 2
So, Greatest Common Divisor of 824, 740, 334, 624 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 824, 740, 334, 624
The greatest common divisor of numbers 824, 740, 334, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 740, 334, 624 is 2.
1. What is the GCD of 824, 740, 334, 624?
GCD of given numbers 824, 740, 334, 624 is 2
2. How to calculate the greatest common divisor of 824, 740, 334, 624?
We can find the highest common divisor of 824, 740, 334, 624 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 824, 740, 334, 624 i.e 2.
3. How can I use the GCD of 824, 740, 334, 624Calculator?
Out the numbers 824, 740, 334, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.