Online GCD Calculator is useful to find the GCD of 160, 688, 948 quickly. Get the easiest ways to solve the greatest common divisor of 160, 688, 948 i.e 4 in different methods as follows.
Given Input numbers are 160, 688, 948
In the factoring method, we have to find the divisors of all numbers
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
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
GCD of numbers is the greatest common divisor
So, the GCD (160, 688, 948) = 4.
Given numbers are 160, 688, 948
The list of prime factors of all numbers are
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 948 are 2 x 2 x 3 x 79
The highest common occurrence is 22
Therefore, GCD of 160, 688, 948 is 4.
Given numbers are 160, 688, 948
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(160, 688) = 6880
GCD(160, 688) = ( 160 x 688 ) / 6880
= 160 / 688
= 160
Step2:
LCM(16, 948) = 3792
GCD(16, 948) = ( 16 x 948 ) / 3792
= 16 / 948
= 16
So, Greatest Common Divisor of 160, 688, 948 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 160, 688, 948
The greatest common divisor of numbers 160, 688, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 160, 688, 948 is 4.
1. What is the GCD of 160, 688, 948?
GCD of given numbers 160, 688, 948 is 4
2. How to calculate the greatest common divisor of 160, 688, 948?
We can find the highest common divisor of 160, 688, 948 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 160, 688, 948 i.e 4.
3. How can I use the GCD of 160, 688, 948Calculator?
Out the numbers 160, 688, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.