Online GCD Calculator is useful to find the GCD of 428, 564, 668, 952 quickly. Get the easiest ways to solve the greatest common divisor of 428, 564, 668, 952 i.e 4 in different methods as follows.
Given Input numbers are 428, 564, 668, 952
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 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 668 :
The positive integer divisors of 668 that completely divides 668 are.
1, 2, 4, 167, 334, 668
Divisors of 952 :
The positive integer divisors of 952 that completely divides 952 are.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
GCD of numbers is the greatest common divisor
So, the GCD (428, 564, 668, 952) = 4.
Given numbers are 428, 564, 668, 952
The list of prime factors of all numbers are
Prime factors of 428 are 2 x 2 x 107
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 668 are 2 x 2 x 167
Prime factors of 952 are 2 x 2 x 2 x 7 x 17
The highest common occurrence is 22
Therefore, GCD of 428, 564, 668, 952 is 4.
Given numbers are 428, 564, 668, 952
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(428, 564) = 60348
GCD(428, 564) = ( 428 x 564 ) / 60348
= 428 / 564
= 428
Step2:
LCM(4, 668) = 668
GCD(4, 668) = ( 4 x 668 ) / 668
= 4 / 668
= 4
Step3:
LCM(4, 952) = 952
GCD(4, 952) = ( 4 x 952 ) / 952
= 4 / 952
= 4
So, Greatest Common Divisor of 428, 564, 668, 952 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 428, 564, 668, 952
The greatest common divisor of numbers 428, 564, 668, 952 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 564, 668, 952 is 4.
1. What is the GCD of 428, 564, 668, 952?
GCD of given numbers 428, 564, 668, 952 is 4
2. How to calculate the greatest common divisor of 428, 564, 668, 952?
We can find the highest common divisor of 428, 564, 668, 952 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, 564, 668, 952 i.e 4.
3. How can I use the GCD of 428, 564, 668, 952Calculator?
Out the numbers 428, 564, 668, 952 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.