Online GCD Calculator is useful to find the GCD of 735, 250, 220, 392 quickly. Get the easiest ways to solve the greatest common divisor of 735, 250, 220, 392 i.e 1 in different methods as follows.
Given Input numbers are 735, 250, 220, 392
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 250 :
The positive integer divisors of 250 that completely divides 250 are.
1, 2, 5, 10, 25, 50, 125, 250
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 392 :
The positive integer divisors of 392 that completely divides 392 are.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
GCD of numbers is the greatest common divisor
So, the GCD (735, 250, 220, 392) = 1.
Given numbers are 735, 250, 220, 392
The list of prime factors of all numbers are
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 250 are 2 x 5 x 5 x 5
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 392 are 2 x 2 x 2 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 735, 250, 220, 392
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(735, 250) = 36750
GCD(735, 250) = ( 735 x 250 ) / 36750
= 735 / 250
= 735
Step2:
LCM(5, 220) = 220
GCD(5, 220) = ( 5 x 220 ) / 220
= 5 / 220
= 5
Step3:
LCM(5, 392) = 1960
GCD(5, 392) = ( 5 x 392 ) / 1960
= 5 / 392
= 5
So, Greatest Common Divisor of 735, 250, 220, 392 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 735, 250, 220, 392
The greatest common divisor of numbers 735, 250, 220, 392 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 250, 220, 392 is 1.
1. What is the GCD of 735, 250, 220, 392?
GCD of given numbers 735, 250, 220, 392 is 1
2. How to calculate the greatest common divisor of 735, 250, 220, 392?
We can find the highest common divisor of 735, 250, 220, 392 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, 250, 220, 392 i.e 1.
3. How can I use the GCD of 735, 250, 220, 392Calculator?
Out the numbers 735, 250, 220, 392 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.