Online GCD Calculator is useful to find the GCD of 134, 982, 542, 760 quickly. Get the easiest ways to solve the greatest common divisor of 134, 982, 542, 760 i.e 2 in different methods as follows.
Given Input numbers are 134, 982, 542, 760
In the factoring method, we have to find the divisors of all numbers
Divisors of 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
Divisors of 982 :
The positive integer divisors of 982 that completely divides 982 are.
1, 2, 491, 982
Divisors of 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
GCD of numbers is the greatest common divisor
So, the GCD (134, 982, 542, 760) = 2.
Given numbers are 134, 982, 542, 760
The list of prime factors of all numbers are
Prime factors of 134 are 2 x 67
Prime factors of 982 are 2 x 491
Prime factors of 542 are 2 x 271
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
The highest common occurrence is 21
Therefore, GCD of 134, 982, 542, 760 is 2.
Given numbers are 134, 982, 542, 760
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(134, 982) = 65794
GCD(134, 982) = ( 134 x 982 ) / 65794
= 134 / 982
= 134
Step2:
LCM(2, 542) = 542
GCD(2, 542) = ( 2 x 542 ) / 542
= 2 / 542
= 2
Step3:
LCM(2, 760) = 760
GCD(2, 760) = ( 2 x 760 ) / 760
= 2 / 760
= 2
So, Greatest Common Divisor of 134, 982, 542, 760 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 134, 982, 542, 760
The greatest common divisor of numbers 134, 982, 542, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 982, 542, 760 is 2.
1. What is the GCD of 134, 982, 542, 760?
GCD of given numbers 134, 982, 542, 760 is 2
2. How to calculate the greatest common divisor of 134, 982, 542, 760?
We can find the highest common divisor of 134, 982, 542, 760 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 134, 982, 542, 760 i.e 2.
3. How can I use the GCD of 134, 982, 542, 760Calculator?
Out the numbers 134, 982, 542, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.