Online GCD Calculator is useful to find the GCD of 420, 112, 340, 898 quickly. Get the easiest ways to solve the greatest common divisor of 420, 112, 340, 898 i.e 2 in different methods as follows.
Given Input numbers are 420, 112, 340, 898
In the factoring method, we have to find the divisors of all numbers
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
GCD of numbers is the greatest common divisor
So, the GCD (420, 112, 340, 898) = 2.
Given numbers are 420, 112, 340, 898
The list of prime factors of all numbers are
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 898 are 2 x 449
The highest common occurrence is 21
Therefore, GCD of 420, 112, 340, 898 is 2.
Given numbers are 420, 112, 340, 898
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 112) = 1680
GCD(420, 112) = ( 420 x 112 ) / 1680
= 420 / 112
= 420
Step2:
LCM(28, 340) = 2380
GCD(28, 340) = ( 28 x 340 ) / 2380
= 28 / 340
= 28
Step3:
LCM(4, 898) = 1796
GCD(4, 898) = ( 4 x 898 ) / 1796
= 4 / 898
= 4
So, Greatest Common Divisor of 420, 112, 340, 898 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 112, 340, 898
The greatest common divisor of numbers 420, 112, 340, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 112, 340, 898 is 2.
1. What is the GCD of 420, 112, 340, 898?
GCD of given numbers 420, 112, 340, 898 is 2
2. How to calculate the greatest common divisor of 420, 112, 340, 898?
We can find the highest common divisor of 420, 112, 340, 898 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 420, 112, 340, 898 i.e 2.
3. How can I use the GCD of 420, 112, 340, 898Calculator?
Out the numbers 420, 112, 340, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.