Online GCD Calculator is useful to find the GCD of 542, 670, 714, 646 quickly. Get the easiest ways to solve the greatest common divisor of 542, 670, 714, 646 i.e 2 in different methods as follows.
Given Input numbers are 542, 670, 714, 646
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 670 :
The positive integer divisors of 670 that completely divides 670 are.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 646 :
The positive integer divisors of 646 that completely divides 646 are.
1, 2, 17, 19, 34, 38, 323, 646
GCD of numbers is the greatest common divisor
So, the GCD (542, 670, 714, 646) = 2.
Given numbers are 542, 670, 714, 646
The list of prime factors of all numbers are
Prime factors of 542 are 2 x 271
Prime factors of 670 are 2 x 5 x 67
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 646 are 2 x 17 x 19
The highest common occurrence is 21
Therefore, GCD of 542, 670, 714, 646 is 2.
Given numbers are 542, 670, 714, 646
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(542, 670) = 181570
GCD(542, 670) = ( 542 x 670 ) / 181570
= 542 / 670
= 542
Step2:
LCM(2, 714) = 714
GCD(2, 714) = ( 2 x 714 ) / 714
= 2 / 714
= 2
Step3:
LCM(2, 646) = 646
GCD(2, 646) = ( 2 x 646 ) / 646
= 2 / 646
= 2
So, Greatest Common Divisor of 542, 670, 714, 646 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 542, 670, 714, 646
The greatest common divisor of numbers 542, 670, 714, 646 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 542, 670, 714, 646 is 2.
1. What is the GCD of 542, 670, 714, 646?
GCD of given numbers 542, 670, 714, 646 is 2
2. How to calculate the greatest common divisor of 542, 670, 714, 646?
We can find the highest common divisor of 542, 670, 714, 646 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, 670, 714, 646 i.e 2.
3. How can I use the GCD of 542, 670, 714, 646Calculator?
Out the numbers 542, 670, 714, 646 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.