Online GCD Calculator is useful to find the GCD of 426, 562, 746, 116 quickly. Get the easiest ways to solve the greatest common divisor of 426, 562, 746, 116 i.e 2 in different methods as follows.
Given Input numbers are 426, 562, 746, 116
In the factoring method, we have to find the divisors of all numbers
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 562 :
The positive integer divisors of 562 that completely divides 562 are.
1, 2, 281, 562
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
GCD of numbers is the greatest common divisor
So, the GCD (426, 562, 746, 116) = 2.
Given numbers are 426, 562, 746, 116
The list of prime factors of all numbers are
Prime factors of 426 are 2 x 3 x 71
Prime factors of 562 are 2 x 281
Prime factors of 746 are 2 x 373
Prime factors of 116 are 2 x 2 x 29
The highest common occurrence is 21
Therefore, GCD of 426, 562, 746, 116 is 2.
Given numbers are 426, 562, 746, 116
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(426, 562) = 119706
GCD(426, 562) = ( 426 x 562 ) / 119706
= 426 / 562
= 426
Step2:
LCM(2, 746) = 746
GCD(2, 746) = ( 2 x 746 ) / 746
= 2 / 746
= 2
Step3:
LCM(2, 116) = 116
GCD(2, 116) = ( 2 x 116 ) / 116
= 2 / 116
= 2
So, Greatest Common Divisor of 426, 562, 746, 116 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 426, 562, 746, 116
The greatest common divisor of numbers 426, 562, 746, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 562, 746, 116 is 2.
1. What is the GCD of 426, 562, 746, 116?
GCD of given numbers 426, 562, 746, 116 is 2
2. How to calculate the greatest common divisor of 426, 562, 746, 116?
We can find the highest common divisor of 426, 562, 746, 116 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 426, 562, 746, 116 i.e 2.
3. How can I use the GCD of 426, 562, 746, 116Calculator?
Out the numbers 426, 562, 746, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.