Online GCD Calculator is useful to find the GCD of 896, 340, 700, 700 quickly. Get the easiest ways to solve the greatest common divisor of 896, 340, 700, 700 i.e 4 in different methods as follows.
Given Input numbers are 896, 340, 700, 700
In the factoring method, we have to find the divisors of all numbers
Divisors of 896 :
The positive integer divisors of 896 that completely divides 896 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
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 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
GCD of numbers is the greatest common divisor
So, the GCD (896, 340, 700, 700) = 4.
Given numbers are 896, 340, 700, 700
The list of prime factors of all numbers are
Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
The highest common occurrence is 22
Therefore, GCD of 896, 340, 700, 700 is 4.
Given numbers are 896, 340, 700, 700
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(896, 340) = 76160
GCD(896, 340) = ( 896 x 340 ) / 76160
= 896 / 340
= 896
Step2:
LCM(4, 700) = 700
GCD(4, 700) = ( 4 x 700 ) / 700
= 4 / 700
= 4
Step3:
LCM(4, 700) = 700
GCD(4, 700) = ( 4 x 700 ) / 700
= 4 / 700
= 4
So, Greatest Common Divisor of 896, 340, 700, 700 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 896, 340, 700, 700
The greatest common divisor of numbers 896, 340, 700, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 896, 340, 700, 700 is 4.
1. What is the GCD of 896, 340, 700, 700?
GCD of given numbers 896, 340, 700, 700 is 4
2. How to calculate the greatest common divisor of 896, 340, 700, 700?
We can find the highest common divisor of 896, 340, 700, 700 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 896, 340, 700, 700 i.e 4.
3. How can I use the GCD of 896, 340, 700, 700Calculator?
Out the numbers 896, 340, 700, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.