Online GCD Calculator is useful to find the GCD of 722, 400, 140 quickly. Get the easiest ways to solve the greatest common divisor of 722, 400, 140 i.e 2 in different methods as follows.
Given Input numbers are 722, 400, 140
In the factoring method, we have to find the divisors of all numbers
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
GCD of numbers is the greatest common divisor
So, the GCD (722, 400, 140) = 2.
Given numbers are 722, 400, 140
The list of prime factors of all numbers are
Prime factors of 722 are 2 x 19 x 19
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 140 are 2 x 2 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 722, 400, 140 is 2.
Given numbers are 722, 400, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(722, 400) = 144400
GCD(722, 400) = ( 722 x 400 ) / 144400
= 722 / 400
= 722
Step2:
LCM(2, 140) = 140
GCD(2, 140) = ( 2 x 140 ) / 140
= 2 / 140
= 2
So, Greatest Common Divisor of 722, 400, 140 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 722, 400, 140
The greatest common divisor of numbers 722, 400, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 722, 400, 140 is 2.
1. What is the GCD of 722, 400, 140?
GCD of given numbers 722, 400, 140 is 2
2. How to calculate the greatest common divisor of 722, 400, 140?
We can find the highest common divisor of 722, 400, 140 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 722, 400, 140 i.e 2.
3. How can I use the GCD of 722, 400, 140Calculator?
Out the numbers 722, 400, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.