Online GCD Calculator is useful to find the GCD of 356, 560, 120, 354 quickly. Get the easiest ways to solve the greatest common divisor of 356, 560, 120, 354 i.e 2 in different methods as follows.
Given Input numbers are 356, 560, 120, 354
In the factoring method, we have to find the divisors of all numbers
Divisors of 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
Divisors of 560 :
The positive integer divisors of 560 that completely divides 560 are.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
GCD of numbers is the greatest common divisor
So, the GCD (356, 560, 120, 354) = 2.
Given numbers are 356, 560, 120, 354
The list of prime factors of all numbers are
Prime factors of 356 are 2 x 2 x 89
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 354 are 2 x 3 x 59
The highest common occurrence is 21
Therefore, GCD of 356, 560, 120, 354 is 2.
Given numbers are 356, 560, 120, 354
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(356, 560) = 49840
GCD(356, 560) = ( 356 x 560 ) / 49840
= 356 / 560
= 356
Step2:
LCM(4, 120) = 120
GCD(4, 120) = ( 4 x 120 ) / 120
= 4 / 120
= 4
Step3:
LCM(4, 354) = 708
GCD(4, 354) = ( 4 x 354 ) / 708
= 4 / 354
= 4
So, Greatest Common Divisor of 356, 560, 120, 354 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 356, 560, 120, 354
The greatest common divisor of numbers 356, 560, 120, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 560, 120, 354 is 2.
1. What is the GCD of 356, 560, 120, 354?
GCD of given numbers 356, 560, 120, 354 is 2
2. How to calculate the greatest common divisor of 356, 560, 120, 354?
We can find the highest common divisor of 356, 560, 120, 354 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 356, 560, 120, 354 i.e 2.
3. How can I use the GCD of 356, 560, 120, 354Calculator?
Out the numbers 356, 560, 120, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.