Online GCD Calculator is useful to find the GCD of 392, 702, 504, 735 quickly. Get the easiest ways to solve the greatest common divisor of 392, 702, 504, 735 i.e 1 in different methods as follows.
Given Input numbers are 392, 702, 504, 735
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
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
GCD of numbers is the greatest common divisor
So, the GCD (392, 702, 504, 735) = 1.
Given numbers are 392, 702, 504, 735
The list of prime factors of all numbers are
Prime factors of 392 are 2 x 2 x 2 x 7 x 7
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 735 are 3 x 5 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 392, 702, 504, 735
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(392, 702) = 137592
GCD(392, 702) = ( 392 x 702 ) / 137592
= 392 / 702
= 392
Step2:
LCM(2, 504) = 504
GCD(2, 504) = ( 2 x 504 ) / 504
= 2 / 504
= 2
Step3:
LCM(2, 735) = 1470
GCD(2, 735) = ( 2 x 735 ) / 1470
= 2 / 735
= 2
So, Greatest Common Divisor of 392, 702, 504, 735 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 392, 702, 504, 735
The greatest common divisor of numbers 392, 702, 504, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 392, 702, 504, 735 is 1.
1. What is the GCD of 392, 702, 504, 735?
GCD of given numbers 392, 702, 504, 735 is 1
2. How to calculate the greatest common divisor of 392, 702, 504, 735?
We can find the highest common divisor of 392, 702, 504, 735 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 392, 702, 504, 735 i.e 1.
3. How can I use the GCD of 392, 702, 504, 735Calculator?
Out the numbers 392, 702, 504, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.