Online GCD Calculator is useful to find the GCD of 948, 752, 740, 824 quickly. Get the easiest ways to solve the greatest common divisor of 948, 752, 740, 824 i.e 4 in different methods as follows.
Given Input numbers are 948, 752, 740, 824
In the factoring method, we have to find the divisors of all numbers
Divisors of 948 :
The positive integer divisors of 948 that completely divides 948 are.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 752 :
The positive integer divisors of 752 that completely divides 752 are.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
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 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 (948, 752, 740, 824) = 4.
Given numbers are 948, 752, 740, 824
The list of prime factors of all numbers are
Prime factors of 948 are 2 x 2 x 3 x 79
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
Prime factors of 740 are 2 x 2 x 5 x 37
Prime factors of 824 are 2 x 2 x 2 x 103
The highest common occurrence is 22
Therefore, GCD of 948, 752, 740, 824 is 4.
Given numbers are 948, 752, 740, 824
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(948, 752) = 178224
GCD(948, 752) = ( 948 x 752 ) / 178224
= 948 / 752
= 948
Step2:
LCM(4, 740) = 740
GCD(4, 740) = ( 4 x 740 ) / 740
= 4 / 740
= 4
Step3:
LCM(4, 824) = 824
GCD(4, 824) = ( 4 x 824 ) / 824
= 4 / 824
= 4
So, Greatest Common Divisor of 948, 752, 740, 824 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 948, 752, 740, 824
The greatest common divisor of numbers 948, 752, 740, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 752, 740, 824 is 4.
1. What is the GCD of 948, 752, 740, 824?
GCD of given numbers 948, 752, 740, 824 is 4
2. How to calculate the greatest common divisor of 948, 752, 740, 824?
We can find the highest common divisor of 948, 752, 740, 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 948, 752, 740, 824 i.e 4.
3. How can I use the GCD of 948, 752, 740, 824Calculator?
Out the numbers 948, 752, 740, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.