Online GCD Calculator is useful to find the GCD of 735, 625, 338, 252 quickly. Get the easiest ways to solve the greatest common divisor of 735, 625, 338, 252 i.e 1 in different methods as follows.
Given Input numbers are 735, 625, 338, 252
In the factoring method, we have to find the divisors of all numbers
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 625 :
The positive integer divisors of 625 that completely divides 625 are.
1, 5, 25, 125, 625
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
GCD of numbers is the greatest common divisor
So, the GCD (735, 625, 338, 252) = 1.
Given numbers are 735, 625, 338, 252
The list of prime factors of all numbers are
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 625 are 5 x 5 x 5 x 5
Prime factors of 338 are 2 x 13 x 13
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 735, 625, 338, 252
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(735, 625) = 91875
GCD(735, 625) = ( 735 x 625 ) / 91875
= 735 / 625
= 735
Step2:
LCM(5, 338) = 1690
GCD(5, 338) = ( 5 x 338 ) / 1690
= 5 / 338
= 5
Step3:
LCM(1, 252) = 252
GCD(1, 252) = ( 1 x 252 ) / 252
= 1 / 252
= 1
So, Greatest Common Divisor of 735, 625, 338, 252 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 735, 625, 338, 252
The greatest common divisor of numbers 735, 625, 338, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 625, 338, 252 is 1.
1. What is the GCD of 735, 625, 338, 252?
GCD of given numbers 735, 625, 338, 252 is 1
2. How to calculate the greatest common divisor of 735, 625, 338, 252?
We can find the highest common divisor of 735, 625, 338, 252 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 735, 625, 338, 252 i.e 1.
3. How can I use the GCD of 735, 625, 338, 252Calculator?
Out the numbers 735, 625, 338, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.