Online GCD Calculator is useful to find the GCD of 142, 732, 116, 938 quickly. Get the easiest ways to solve the greatest common divisor of 142, 732, 116, 938 i.e 2 in different methods as follows.
Given Input numbers are 142, 732, 116, 938
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 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
GCD of numbers is the greatest common divisor
So, the GCD (142, 732, 116, 938) = 2.
Given numbers are 142, 732, 116, 938
The list of prime factors of all numbers are
Prime factors of 142 are 2 x 71
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 116 are 2 x 2 x 29
Prime factors of 938 are 2 x 7 x 67
The highest common occurrence is 21
Therefore, GCD of 142, 732, 116, 938 is 2.
Given numbers are 142, 732, 116, 938
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(142, 732) = 51972
GCD(142, 732) = ( 142 x 732 ) / 51972
= 142 / 732
= 142
Step2:
LCM(2, 116) = 116
GCD(2, 116) = ( 2 x 116 ) / 116
= 2 / 116
= 2
Step3:
LCM(2, 938) = 938
GCD(2, 938) = ( 2 x 938 ) / 938
= 2 / 938
= 2
So, Greatest Common Divisor of 142, 732, 116, 938 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 142, 732, 116, 938
The greatest common divisor of numbers 142, 732, 116, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 732, 116, 938 is 2.
1. What is the GCD of 142, 732, 116, 938?
GCD of given numbers 142, 732, 116, 938 is 2
2. How to calculate the greatest common divisor of 142, 732, 116, 938?
We can find the highest common divisor of 142, 732, 116, 938 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, 732, 116, 938 i.e 2.
3. How can I use the GCD of 142, 732, 116, 938Calculator?
Out the numbers 142, 732, 116, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.