Online GCD Calculator is useful to find the GCD of 740, 952, 804, 824 quickly. Get the easiest ways to solve the greatest common divisor of 740, 952, 804, 824 i.e 4 in different methods as follows.
Given Input numbers are 740, 952, 804, 824
In the factoring method, we have to find the divisors of all numbers
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 952 :
The positive integer divisors of 952 that completely divides 952 are.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 804 :
The positive integer divisors of 804 that completely divides 804 are.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
GCD of numbers is the greatest common divisor
So, the GCD (740, 952, 804, 824) = 4.
Given numbers are 740, 952, 804, 824
The list of prime factors of all numbers are
Prime factors of 740 are 2 x 2 x 5 x 37
Prime factors of 952 are 2 x 2 x 2 x 7 x 17
Prime factors of 804 are 2 x 2 x 3 x 67
Prime factors of 824 are 2 x 2 x 2 x 103
The highest common occurrence is 22
Therefore, GCD of 740, 952, 804, 824 is 4.
Given numbers are 740, 952, 804, 824
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(740, 952) = 176120
GCD(740, 952) = ( 740 x 952 ) / 176120
= 740 / 952
= 740
Step2:
LCM(4, 804) = 804
GCD(4, 804) = ( 4 x 804 ) / 804
= 4 / 804
= 4
Step3:
LCM(4, 824) = 824
GCD(4, 824) = ( 4 x 824 ) / 824
= 4 / 824
= 4
So, Greatest Common Divisor of 740, 952, 804, 824 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 740, 952, 804, 824
The greatest common divisor of numbers 740, 952, 804, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 740, 952, 804, 824 is 4.
1. What is the GCD of 740, 952, 804, 824?
GCD of given numbers 740, 952, 804, 824 is 4
2. How to calculate the greatest common divisor of 740, 952, 804, 824?
We can find the highest common divisor of 740, 952, 804, 824 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 740, 952, 804, 824 i.e 4.
3. How can I use the GCD of 740, 952, 804, 824Calculator?
Out the numbers 740, 952, 804, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.