Online GCD Calculator is useful to find the GCD of 948, 218, 632, 642 quickly. Get the easiest ways to solve the greatest common divisor of 948, 218, 632, 642 i.e 2 in different methods as follows.
Given Input numbers are 948, 218, 632, 642
In the factoring method, we have to find the divisors of all numbers
Divisors of 948 :
The positive integer divisors of 948 that completely divides 948 are.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
Divisors of 632 :
The positive integer divisors of 632 that completely divides 632 are.
1, 2, 4, 8, 79, 158, 316, 632
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
GCD of numbers is the greatest common divisor
So, the GCD (948, 218, 632, 642) = 2.
Given numbers are 948, 218, 632, 642
The list of prime factors of all numbers are
Prime factors of 948 are 2 x 2 x 3 x 79
Prime factors of 218 are 2 x 109
Prime factors of 632 are 2 x 2 x 2 x 79
Prime factors of 642 are 2 x 3 x 107
The highest common occurrence is 21
Therefore, GCD of 948, 218, 632, 642 is 2.
Given numbers are 948, 218, 632, 642
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(948, 218) = 103332
GCD(948, 218) = ( 948 x 218 ) / 103332
= 948 / 218
= 948
Step2:
LCM(2, 632) = 632
GCD(2, 632) = ( 2 x 632 ) / 632
= 2 / 632
= 2
Step3:
LCM(2, 642) = 642
GCD(2, 642) = ( 2 x 642 ) / 642
= 2 / 642
= 2
So, Greatest Common Divisor of 948, 218, 632, 642 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 948, 218, 632, 642
The greatest common divisor of numbers 948, 218, 632, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 218, 632, 642 is 2.
1. What is the GCD of 948, 218, 632, 642?
GCD of given numbers 948, 218, 632, 642 is 2
2. How to calculate the greatest common divisor of 948, 218, 632, 642?
We can find the highest common divisor of 948, 218, 632, 642 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 948, 218, 632, 642 i.e 2.
3. How can I use the GCD of 948, 218, 632, 642Calculator?
Out the numbers 948, 218, 632, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.