Online GCD Calculator is useful to find the GCD of 354, 350, 602, 892 quickly. Get the easiest ways to solve the greatest common divisor of 354, 350, 602, 892 i.e 2 in different methods as follows.
Given Input numbers are 354, 350, 602, 892
In the factoring method, we have to find the divisors of all numbers
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 602 :
The positive integer divisors of 602 that completely divides 602 are.
1, 2, 7, 14, 43, 86, 301, 602
Divisors of 892 :
The positive integer divisors of 892 that completely divides 892 are.
1, 2, 4, 223, 446, 892
GCD of numbers is the greatest common divisor
So, the GCD (354, 350, 602, 892) = 2.
Given numbers are 354, 350, 602, 892
The list of prime factors of all numbers are
Prime factors of 354 are 2 x 3 x 59
Prime factors of 350 are 2 x 5 x 5 x 7
Prime factors of 602 are 2 x 7 x 43
Prime factors of 892 are 2 x 2 x 223
The highest common occurrence is 21
Therefore, GCD of 354, 350, 602, 892 is 2.
Given numbers are 354, 350, 602, 892
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(354, 350) = 61950
GCD(354, 350) = ( 354 x 350 ) / 61950
= 354 / 350
= 354
Step2:
LCM(2, 602) = 602
GCD(2, 602) = ( 2 x 602 ) / 602
= 2 / 602
= 2
Step3:
LCM(2, 892) = 892
GCD(2, 892) = ( 2 x 892 ) / 892
= 2 / 892
= 2
So, Greatest Common Divisor of 354, 350, 602, 892 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 354, 350, 602, 892
The greatest common divisor of numbers 354, 350, 602, 892 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 350, 602, 892 is 2.
1. What is the GCD of 354, 350, 602, 892?
GCD of given numbers 354, 350, 602, 892 is 2
2. How to calculate the greatest common divisor of 354, 350, 602, 892?
We can find the highest common divisor of 354, 350, 602, 892 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 354, 350, 602, 892 i.e 2.
3. How can I use the GCD of 354, 350, 602, 892Calculator?
Out the numbers 354, 350, 602, 892 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.