Online GCD Calculator is useful to find the GCD of 117, 140, 755, 914 quickly. Get the easiest ways to solve the greatest common divisor of 117, 140, 755, 914 i.e 1 in different methods as follows.
Given Input numbers are 117, 140, 755, 914
In the factoring method, we have to find the divisors of all numbers
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
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 755 :
The positive integer divisors of 755 that completely divides 755 are.
1, 5, 151, 755
Divisors of 914 :
The positive integer divisors of 914 that completely divides 914 are.
1, 2, 457, 914
GCD of numbers is the greatest common divisor
So, the GCD (117, 140, 755, 914) = 1.
Given numbers are 117, 140, 755, 914
The list of prime factors of all numbers are
Prime factors of 117 are 3 x 3 x 13
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 755 are 5 x 151
Prime factors of 914 are 2 x 457
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 117, 140, 755, 914
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(117, 140) = 16380
GCD(117, 140) = ( 117 x 140 ) / 16380
= 117 / 140
= 117
Step2:
LCM(1, 755) = 755
GCD(1, 755) = ( 1 x 755 ) / 755
= 1 / 755
= 1
Step3:
LCM(1, 914) = 914
GCD(1, 914) = ( 1 x 914 ) / 914
= 1 / 914
= 1
So, Greatest Common Divisor of 117, 140, 755, 914 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 117, 140, 755, 914
The greatest common divisor of numbers 117, 140, 755, 914 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 140, 755, 914 is 1.
1. What is the GCD of 117, 140, 755, 914?
GCD of given numbers 117, 140, 755, 914 is 1
2. How to calculate the greatest common divisor of 117, 140, 755, 914?
We can find the highest common divisor of 117, 140, 755, 914 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 117, 140, 755, 914 i.e 1.
3. How can I use the GCD of 117, 140, 755, 914Calculator?
Out the numbers 117, 140, 755, 914 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.