Online GCD Calculator is useful to find the GCD of 948, 200, 542, 160 quickly. Get the easiest ways to solve the greatest common divisor of 948, 200, 542, 160 i.e 2 in different methods as follows.
Given Input numbers are 948, 200, 542, 160
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 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
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
GCD of numbers is the greatest common divisor
So, the GCD (948, 200, 542, 160) = 2.
Given numbers are 948, 200, 542, 160
The list of prime factors of all numbers are
Prime factors of 948 are 2 x 2 x 3 x 79
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 542 are 2 x 271
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
The highest common occurrence is 21
Therefore, GCD of 948, 200, 542, 160 is 2.
Given numbers are 948, 200, 542, 160
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(948, 200) = 47400
GCD(948, 200) = ( 948 x 200 ) / 47400
= 948 / 200
= 948
Step2:
LCM(4, 542) = 1084
GCD(4, 542) = ( 4 x 542 ) / 1084
= 4 / 542
= 4
Step3:
LCM(2, 160) = 160
GCD(2, 160) = ( 2 x 160 ) / 160
= 2 / 160
= 2
So, Greatest Common Divisor of 948, 200, 542, 160 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 948, 200, 542, 160
The greatest common divisor of numbers 948, 200, 542, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 200, 542, 160 is 2.
1. What is the GCD of 948, 200, 542, 160?
GCD of given numbers 948, 200, 542, 160 is 2
2. How to calculate the greatest common divisor of 948, 200, 542, 160?
We can find the highest common divisor of 948, 200, 542, 160 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, 200, 542, 160 i.e 2.
3. How can I use the GCD of 948, 200, 542, 160Calculator?
Out the numbers 948, 200, 542, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.