Online GCD Calculator is useful to find the GCD of 142, 976, 368, 460 quickly. Get the easiest ways to solve the greatest common divisor of 142, 976, 368, 460 i.e 2 in different methods as follows.
Given Input numbers are 142, 976, 368, 460
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 976 :
The positive integer divisors of 976 that completely divides 976 are.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 368 :
The positive integer divisors of 368 that completely divides 368 are.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
GCD of numbers is the greatest common divisor
So, the GCD (142, 976, 368, 460) = 2.
Given numbers are 142, 976, 368, 460
The list of prime factors of all numbers are
Prime factors of 142 are 2 x 71
Prime factors of 976 are 2 x 2 x 2 x 2 x 61
Prime factors of 368 are 2 x 2 x 2 x 2 x 23
Prime factors of 460 are 2 x 2 x 5 x 23
The highest common occurrence is 21
Therefore, GCD of 142, 976, 368, 460 is 2.
Given numbers are 142, 976, 368, 460
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(142, 976) = 69296
GCD(142, 976) = ( 142 x 976 ) / 69296
= 142 / 976
= 142
Step2:
LCM(2, 368) = 368
GCD(2, 368) = ( 2 x 368 ) / 368
= 2 / 368
= 2
Step3:
LCM(2, 460) = 460
GCD(2, 460) = ( 2 x 460 ) / 460
= 2 / 460
= 2
So, Greatest Common Divisor of 142, 976, 368, 460 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 142, 976, 368, 460
The greatest common divisor of numbers 142, 976, 368, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 976, 368, 460 is 2.
1. What is the GCD of 142, 976, 368, 460?
GCD of given numbers 142, 976, 368, 460 is 2
2. How to calculate the greatest common divisor of 142, 976, 368, 460?
We can find the highest common divisor of 142, 976, 368, 460 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, 976, 368, 460 i.e 2.
3. How can I use the GCD of 142, 976, 368, 460Calculator?
Out the numbers 142, 976, 368, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.