Online GCD Calculator is useful to find the GCD of 138, 735, 202, 725 quickly. Get the easiest ways to solve the greatest common divisor of 138, 735, 202, 725 i.e 1 in different methods as follows.
Given Input numbers are 138, 735, 202, 725
In the factoring method, we have to find the divisors of all numbers
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 202 :
The positive integer divisors of 202 that completely divides 202 are.
1, 2, 101, 202
Divisors of 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
GCD of numbers is the greatest common divisor
So, the GCD (138, 735, 202, 725) = 1.
Given numbers are 138, 735, 202, 725
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 202 are 2 x 101
Prime factors of 725 are 5 x 5 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 138, 735, 202, 725
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 735) = 33810
GCD(138, 735) = ( 138 x 735 ) / 33810
= 138 / 735
= 138
Step2:
LCM(3, 202) = 606
GCD(3, 202) = ( 3 x 202 ) / 606
= 3 / 202
= 3
Step3:
LCM(1, 725) = 725
GCD(1, 725) = ( 1 x 725 ) / 725
= 1 / 725
= 1
So, Greatest Common Divisor of 138, 735, 202, 725 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 138, 735, 202, 725
The greatest common divisor of numbers 138, 735, 202, 725 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 735, 202, 725 is 1.
1. What is the GCD of 138, 735, 202, 725?
GCD of given numbers 138, 735, 202, 725 is 1
2. How to calculate the greatest common divisor of 138, 735, 202, 725?
We can find the highest common divisor of 138, 735, 202, 725 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 138, 735, 202, 725 i.e 1.
3. How can I use the GCD of 138, 735, 202, 725Calculator?
Out the numbers 138, 735, 202, 725 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.