Online GCD Calculator is useful to find the GCD of 140, 107, 796, 400 quickly. Get the easiest ways to solve the greatest common divisor of 140, 107, 796, 400 i.e 1 in different methods as follows.
Given Input numbers are 140, 107, 796, 400
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 107 :
The positive integer divisors of 107 that completely divides 107 are.
1, 107
Divisors of 796 :
The positive integer divisors of 796 that completely divides 796 are.
1, 2, 4, 199, 398, 796
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
GCD of numbers is the greatest common divisor
So, the GCD (140, 107, 796, 400) = 1.
Given numbers are 140, 107, 796, 400
The list of prime factors of all numbers are
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 107 are 107
Prime factors of 796 are 2 x 2 x 199
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 140, 107, 796, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(140, 107) = 14980
GCD(140, 107) = ( 140 x 107 ) / 14980
= 140 / 107
= 140
Step2:
LCM(1, 796) = 796
GCD(1, 796) = ( 1 x 796 ) / 796
= 1 / 796
= 1
Step3:
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
= 1 / 400
= 1
So, Greatest Common Divisor of 140, 107, 796, 400 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 140, 107, 796, 400
The greatest common divisor of numbers 140, 107, 796, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 107, 796, 400 is 1.
1. What is the GCD of 140, 107, 796, 400?
GCD of given numbers 140, 107, 796, 400 is 1
2. How to calculate the greatest common divisor of 140, 107, 796, 400?
We can find the highest common divisor of 140, 107, 796, 400 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 140, 107, 796, 400 i.e 1.
3. How can I use the GCD of 140, 107, 796, 400Calculator?
Out the numbers 140, 107, 796, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.