Online GCD Calculator is useful to find the GCD of 428, 276, 170, 962 quickly. Get the easiest ways to solve the greatest common divisor of 428, 276, 170, 962 i.e 2 in different methods as follows.
Given Input numbers are 428, 276, 170, 962
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 276 :
The positive integer divisors of 276 that completely divides 276 are.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 962 :
The positive integer divisors of 962 that completely divides 962 are.
1, 2, 13, 26, 37, 74, 481, 962
GCD of numbers is the greatest common divisor
So, the GCD (428, 276, 170, 962) = 2.
Given numbers are 428, 276, 170, 962
The list of prime factors of all numbers are
Prime factors of 428 are 2 x 2 x 107
Prime factors of 276 are 2 x 2 x 3 x 23
Prime factors of 170 are 2 x 5 x 17
Prime factors of 962 are 2 x 13 x 37
The highest common occurrence is 21
Therefore, GCD of 428, 276, 170, 962 is 2.
Given numbers are 428, 276, 170, 962
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(428, 276) = 29532
GCD(428, 276) = ( 428 x 276 ) / 29532
= 428 / 276
= 428
Step2:
LCM(4, 170) = 340
GCD(4, 170) = ( 4 x 170 ) / 340
= 4 / 170
= 4
Step3:
LCM(2, 962) = 962
GCD(2, 962) = ( 2 x 962 ) / 962
= 2 / 962
= 2
So, Greatest Common Divisor of 428, 276, 170, 962 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 428, 276, 170, 962
The greatest common divisor of numbers 428, 276, 170, 962 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 276, 170, 962 is 2.
1. What is the GCD of 428, 276, 170, 962?
GCD of given numbers 428, 276, 170, 962 is 2
2. How to calculate the greatest common divisor of 428, 276, 170, 962?
We can find the highest common divisor of 428, 276, 170, 962 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, 276, 170, 962 i.e 2.
3. How can I use the GCD of 428, 276, 170, 962Calculator?
Out the numbers 428, 276, 170, 962 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.