Online GCD Calculator is useful to find the GCD of 104, 140, 742, 625 quickly. Get the easiest ways to solve the greatest common divisor of 104, 140, 742, 625 i.e 1 in different methods as follows.
Given Input numbers are 104, 140, 742, 625
In the factoring method, we have to find the divisors of all numbers
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
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 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 625 :
The positive integer divisors of 625 that completely divides 625 are.
1, 5, 25, 125, 625
GCD of numbers is the greatest common divisor
So, the GCD (104, 140, 742, 625) = 1.
Given numbers are 104, 140, 742, 625
The list of prime factors of all numbers are
Prime factors of 104 are 2 x 2 x 2 x 13
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 742 are 2 x 7 x 53
Prime factors of 625 are 5 x 5 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 104, 140, 742, 625
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(104, 140) = 3640
GCD(104, 140) = ( 104 x 140 ) / 3640
= 104 / 140
= 104
Step2:
LCM(4, 742) = 1484
GCD(4, 742) = ( 4 x 742 ) / 1484
= 4 / 742
= 4
Step3:
LCM(2, 625) = 1250
GCD(2, 625) = ( 2 x 625 ) / 1250
= 2 / 625
= 2
So, Greatest Common Divisor of 104, 140, 742, 625 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 104, 140, 742, 625
The greatest common divisor of numbers 104, 140, 742, 625 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 140, 742, 625 is 1.
1. What is the GCD of 104, 140, 742, 625?
GCD of given numbers 104, 140, 742, 625 is 1
2. How to calculate the greatest common divisor of 104, 140, 742, 625?
We can find the highest common divisor of 104, 140, 742, 625 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 104, 140, 742, 625 i.e 1.
3. How can I use the GCD of 104, 140, 742, 625Calculator?
Out the numbers 104, 140, 742, 625 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.