Online GCD Calculator is useful to find the GCD of 428, 942, 558, 634 quickly. Get the easiest ways to solve the greatest common divisor of 428, 942, 558, 634 i.e 2 in different methods as follows.
Given Input numbers are 428, 942, 558, 634
In the factoring method, we have to find the divisors of all numbers
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 942 :
The positive integer divisors of 942 that completely divides 942 are.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 634 :
The positive integer divisors of 634 that completely divides 634 are.
1, 2, 317, 634
GCD of numbers is the greatest common divisor
So, the GCD (428, 942, 558, 634) = 2.
Given numbers are 428, 942, 558, 634
The list of prime factors of all numbers are
Prime factors of 428 are 2 x 2 x 107
Prime factors of 942 are 2 x 3 x 157
Prime factors of 558 are 2 x 3 x 3 x 31
Prime factors of 634 are 2 x 317
The highest common occurrence is 21
Therefore, GCD of 428, 942, 558, 634 is 2.
Given numbers are 428, 942, 558, 634
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(428, 942) = 201588
GCD(428, 942) = ( 428 x 942 ) / 201588
= 428 / 942
= 428
Step2:
LCM(2, 558) = 558
GCD(2, 558) = ( 2 x 558 ) / 558
= 2 / 558
= 2
Step3:
LCM(2, 634) = 634
GCD(2, 634) = ( 2 x 634 ) / 634
= 2 / 634
= 2
So, Greatest Common Divisor of 428, 942, 558, 634 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 428, 942, 558, 634
The greatest common divisor of numbers 428, 942, 558, 634 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 942, 558, 634 is 2.
1. What is the GCD of 428, 942, 558, 634?
GCD of given numbers 428, 942, 558, 634 is 2
2. How to calculate the greatest common divisor of 428, 942, 558, 634?
We can find the highest common divisor of 428, 942, 558, 634 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 428, 942, 558, 634 i.e 2.
3. How can I use the GCD of 428, 942, 558, 634Calculator?
Out the numbers 428, 942, 558, 634 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.