Online GCD Calculator is useful to find the GCD of 880, 700, 100 quickly. Get the easiest ways to solve the greatest common divisor of 880, 700, 100 i.e 20 in different methods as follows.
Given Input numbers are 880, 700, 100
In the factoring method, we have to find the divisors of all numbers
Divisors of 880 :
The positive integer divisors of 880 that completely divides 880 are.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
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 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
GCD of numbers is the greatest common divisor
So, the GCD (880, 700, 100) = 20.
Given numbers are 880, 700, 100
The list of prime factors of all numbers are
Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 100 are 2 x 2 x 5 x 5
The highest common occurrence is 22 x 51
Therefore, GCD of 880, 700, 100 is 20.
Given numbers are 880, 700, 100
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(880, 700) = 30800
GCD(880, 700) = ( 880 x 700 ) / 30800
= 880 / 700
= 880
Step2:
LCM(20, 100) = 100
GCD(20, 100) = ( 20 x 100 ) / 100
= 20 / 100
= 20
So, Greatest Common Divisor of 880, 700, 100 is 20
Here are some samples of GCD of Numbers calculations.
Given numbers are 880, 700, 100
The greatest common divisor of numbers 880, 700, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 880, 700, 100 is 20.
1. What is the GCD of 880, 700, 100?
GCD of given numbers 880, 700, 100 is 20
2. How to calculate the greatest common divisor of 880, 700, 100?
We can find the highest common divisor of 880, 700, 100 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 880, 700, 100 i.e 20.
3. How can I use the GCD of 880, 700, 100Calculator?
Out the numbers 880, 700, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.