Online GCD Calculator is useful to find the GCD of 360, 534, 848, 354 quickly. Get the easiest ways to solve the greatest common divisor of 360, 534, 848, 354 i.e 2 in different methods as follows.
Given Input numbers are 360, 534, 848, 354
In the factoring method, we have to find the divisors of all numbers
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 534 :
The positive integer divisors of 534 that completely divides 534 are.
1, 2, 3, 6, 89, 178, 267, 534
Divisors of 848 :
The positive integer divisors of 848 that completely divides 848 are.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
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 (360, 534, 848, 354) = 2.
Given numbers are 360, 534, 848, 354
The list of prime factors of all numbers are
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 534 are 2 x 3 x 89
Prime factors of 848 are 2 x 2 x 2 x 2 x 53
Prime factors of 354 are 2 x 3 x 59
The highest common occurrence is 21
Therefore, GCD of 360, 534, 848, 354 is 2.
Given numbers are 360, 534, 848, 354
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 534) = 32040
GCD(360, 534) = ( 360 x 534 ) / 32040
= 360 / 534
= 360
Step2:
LCM(6, 848) = 2544
GCD(6, 848) = ( 6 x 848 ) / 2544
= 6 / 848
= 6
Step3:
LCM(2, 354) = 354
GCD(2, 354) = ( 2 x 354 ) / 354
= 2 / 354
= 2
So, Greatest Common Divisor of 360, 534, 848, 354 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 534, 848, 354
The greatest common divisor of numbers 360, 534, 848, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 534, 848, 354 is 2.
1. What is the GCD of 360, 534, 848, 354?
GCD of given numbers 360, 534, 848, 354 is 2
2. How to calculate the greatest common divisor of 360, 534, 848, 354?
We can find the highest common divisor of 360, 534, 848, 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 360, 534, 848, 354 i.e 2.
3. How can I use the GCD of 360, 534, 848, 354Calculator?
Out the numbers 360, 534, 848, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.