Online GCD Calculator is useful to find the GCD of 948, 477, 318, 294 quickly. Get the easiest ways to solve the greatest common divisor of 948, 477, 318, 294 i.e 3 in different methods as follows.
Given Input numbers are 948, 477, 318, 294
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 477 :
The positive integer divisors of 477 that completely divides 477 are.
1, 3, 9, 53, 159, 477
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 294 :
The positive integer divisors of 294 that completely divides 294 are.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
GCD of numbers is the greatest common divisor
So, the GCD (948, 477, 318, 294) = 3.
Given numbers are 948, 477, 318, 294
The list of prime factors of all numbers are
Prime factors of 948 are 2 x 2 x 3 x 79
Prime factors of 477 are 3 x 3 x 53
Prime factors of 318 are 2 x 3 x 53
Prime factors of 294 are 2 x 3 x 7 x 7
The highest common occurrence is 31
Therefore, GCD of 948, 477, 318, 294 is 3.
Given numbers are 948, 477, 318, 294
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(948, 477) = 150732
GCD(948, 477) = ( 948 x 477 ) / 150732
= 948 / 477
= 948
Step2:
LCM(3, 318) = 318
GCD(3, 318) = ( 3 x 318 ) / 318
= 3 / 318
= 3
Step3:
LCM(3, 294) = 294
GCD(3, 294) = ( 3 x 294 ) / 294
= 3 / 294
= 3
So, Greatest Common Divisor of 948, 477, 318, 294 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 948, 477, 318, 294
The greatest common divisor of numbers 948, 477, 318, 294 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 477, 318, 294 is 3.
1. What is the GCD of 948, 477, 318, 294?
GCD of given numbers 948, 477, 318, 294 is 3
2. How to calculate the greatest common divisor of 948, 477, 318, 294?
We can find the highest common divisor of 948, 477, 318, 294 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, 477, 318, 294 i.e 3.
3. How can I use the GCD of 948, 477, 318, 294Calculator?
Out the numbers 948, 477, 318, 294 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.