Online GCD Calculator is useful to find the GCD of 542, 532, 742 quickly. Get the easiest ways to solve the greatest common divisor of 542, 532, 742 i.e 2 in different methods as follows.
Given Input numbers are 542, 532, 742
In the factoring method, we have to find the divisors of all numbers
Divisors of 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
Divisors of 532 :
The positive integer divisors of 532 that completely divides 532 are.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
GCD of numbers is the greatest common divisor
So, the GCD (542, 532, 742) = 2.
Given numbers are 542, 532, 742
The list of prime factors of all numbers are
Prime factors of 542 are 2 x 271
Prime factors of 532 are 2 x 2 x 7 x 19
Prime factors of 742 are 2 x 7 x 53
The highest common occurrence is 21
Therefore, GCD of 542, 532, 742 is 2.
Given numbers are 542, 532, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(542, 532) = 144172
GCD(542, 532) = ( 542 x 532 ) / 144172
= 542 / 532
= 542
Step2:
LCM(2, 742) = 742
GCD(2, 742) = ( 2 x 742 ) / 742
= 2 / 742
= 2
So, Greatest Common Divisor of 542, 532, 742 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 542, 532, 742
The greatest common divisor of numbers 542, 532, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 542, 532, 742 is 2.
1. What is the GCD of 542, 532, 742?
GCD of given numbers 542, 532, 742 is 2
2. How to calculate the greatest common divisor of 542, 532, 742?
We can find the highest common divisor of 542, 532, 742 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 542, 532, 742 i.e 2.
3. How can I use the GCD of 542, 532, 742Calculator?
Out the numbers 542, 532, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.