Online GCD Calculator is useful to find the GCD of 824, 702, 148, 829 quickly. Get the easiest ways to solve the greatest common divisor of 824, 702, 148, 829 i.e 1 in different methods as follows.
Given Input numbers are 824, 702, 148, 829
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 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
Divisors of 829 :
The positive integer divisors of 829 that completely divides 829 are.
1, 829
GCD of numbers is the greatest common divisor
So, the GCD (824, 702, 148, 829) = 1.
Given numbers are 824, 702, 148, 829
The list of prime factors of all numbers are
Prime factors of 824 are 2 x 2 x 2 x 103
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 148 are 2 x 2 x 37
Prime factors of 829 are 829
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 824, 702, 148, 829
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(824, 702) = 289224
GCD(824, 702) = ( 824 x 702 ) / 289224
= 824 / 702
= 824
Step2:
LCM(2, 148) = 148
GCD(2, 148) = ( 2 x 148 ) / 148
= 2 / 148
= 2
Step3:
LCM(2, 829) = 1658
GCD(2, 829) = ( 2 x 829 ) / 1658
= 2 / 829
= 2
So, Greatest Common Divisor of 824, 702, 148, 829 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 824, 702, 148, 829
The greatest common divisor of numbers 824, 702, 148, 829 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 702, 148, 829 is 1.
1. What is the GCD of 824, 702, 148, 829?
GCD of given numbers 824, 702, 148, 829 is 1
2. How to calculate the greatest common divisor of 824, 702, 148, 829?
We can find the highest common divisor of 824, 702, 148, 829 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, 702, 148, 829 i.e 1.
3. How can I use the GCD of 824, 702, 148, 829Calculator?
Out the numbers 824, 702, 148, 829 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.