Online GCD Calculator is useful to find the GCD of 142, 882, 975, 824 quickly. Get the easiest ways to solve the greatest common divisor of 142, 882, 975, 824 i.e 1 in different methods as follows.
Given Input numbers are 142, 882, 975, 824
In the factoring method, we have to find the divisors of all numbers
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 882 :
The positive integer divisors of 882 that completely divides 882 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Divisors of 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
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 (142, 882, 975, 824) = 1.
Given numbers are 142, 882, 975, 824
The list of prime factors of all numbers are
Prime factors of 142 are 2 x 71
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 824 are 2 x 2 x 2 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 142, 882, 975, 824
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(142, 882) = 62622
GCD(142, 882) = ( 142 x 882 ) / 62622
= 142 / 882
= 142
Step2:
LCM(2, 975) = 1950
GCD(2, 975) = ( 2 x 975 ) / 1950
= 2 / 975
= 2
Step3:
LCM(1, 824) = 824
GCD(1, 824) = ( 1 x 824 ) / 824
= 1 / 824
= 1
So, Greatest Common Divisor of 142, 882, 975, 824 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 142, 882, 975, 824
The greatest common divisor of numbers 142, 882, 975, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 882, 975, 824 is 1.
1. What is the GCD of 142, 882, 975, 824?
GCD of given numbers 142, 882, 975, 824 is 1
2. How to calculate the greatest common divisor of 142, 882, 975, 824?
We can find the highest common divisor of 142, 882, 975, 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 142, 882, 975, 824 i.e 1.
3. How can I use the GCD of 142, 882, 975, 824Calculator?
Out the numbers 142, 882, 975, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.