Online GCD Calculator is useful to find the GCD of 562, 126, 160, 378 quickly. Get the easiest ways to solve the greatest common divisor of 562, 126, 160, 378 i.e 2 in different methods as follows.
Given Input numbers are 562, 126, 160, 378
In the factoring method, we have to find the divisors of all numbers
Divisors of 562 :
The positive integer divisors of 562 that completely divides 562 are.
1, 2, 281, 562
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
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 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
GCD of numbers is the greatest common divisor
So, the GCD (562, 126, 160, 378) = 2.
Given numbers are 562, 126, 160, 378
The list of prime factors of all numbers are
Prime factors of 562 are 2 x 281
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 562, 126, 160, 378 is 2.
Given numbers are 562, 126, 160, 378
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(562, 126) = 35406
GCD(562, 126) = ( 562 x 126 ) / 35406
= 562 / 126
= 562
Step2:
LCM(2, 160) = 160
GCD(2, 160) = ( 2 x 160 ) / 160
= 2 / 160
= 2
Step3:
LCM(2, 378) = 378
GCD(2, 378) = ( 2 x 378 ) / 378
= 2 / 378
= 2
So, Greatest Common Divisor of 562, 126, 160, 378 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 562, 126, 160, 378
The greatest common divisor of numbers 562, 126, 160, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 562, 126, 160, 378 is 2.
1. What is the GCD of 562, 126, 160, 378?
GCD of given numbers 562, 126, 160, 378 is 2
2. How to calculate the greatest common divisor of 562, 126, 160, 378?
We can find the highest common divisor of 562, 126, 160, 378 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 562, 126, 160, 378 i.e 2.
3. How can I use the GCD of 562, 126, 160, 378Calculator?
Out the numbers 562, 126, 160, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.