Online GCD Calculator is useful to find the GCD of 948, 654, 480, 906 quickly. Get the easiest ways to solve the greatest common divisor of 948, 654, 480, 906 i.e 6 in different methods as follows.
Given Input numbers are 948, 654, 480, 906
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 654 :
The positive integer divisors of 654 that completely divides 654 are.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 906 :
The positive integer divisors of 906 that completely divides 906 are.
1, 2, 3, 6, 151, 302, 453, 906
GCD of numbers is the greatest common divisor
So, the GCD (948, 654, 480, 906) = 6.
Given numbers are 948, 654, 480, 906
The list of prime factors of all numbers are
Prime factors of 948 are 2 x 2 x 3 x 79
Prime factors of 654 are 2 x 3 x 109
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 906 are 2 x 3 x 151
The highest common occurrence is 21 x 31
Therefore, GCD of 948, 654, 480, 906 is 6.
Given numbers are 948, 654, 480, 906
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(948, 654) = 103332
GCD(948, 654) = ( 948 x 654 ) / 103332
= 948 / 654
= 948
Step2:
LCM(6, 480) = 480
GCD(6, 480) = ( 6 x 480 ) / 480
= 6 / 480
= 6
Step3:
LCM(6, 906) = 906
GCD(6, 906) = ( 6 x 906 ) / 906
= 6 / 906
= 6
So, Greatest Common Divisor of 948, 654, 480, 906 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 948, 654, 480, 906
The greatest common divisor of numbers 948, 654, 480, 906 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 654, 480, 906 is 6.
1. What is the GCD of 948, 654, 480, 906?
GCD of given numbers 948, 654, 480, 906 is 6
2. How to calculate the greatest common divisor of 948, 654, 480, 906?
We can find the highest common divisor of 948, 654, 480, 906 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, 654, 480, 906 i.e 6.
3. How can I use the GCD of 948, 654, 480, 906Calculator?
Out the numbers 948, 654, 480, 906 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.