Online GCD Calculator is useful to find the GCD of 924, 357, 29, 748 quickly. Get the easiest ways to solve the greatest common divisor of 924, 357, 29, 748 i.e 1 in different methods as follows.
Given Input numbers are 924, 357, 29, 748
In the factoring method, we have to find the divisors of all numbers
Divisors of 924 :
The positive integer divisors of 924 that completely divides 924 are.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 29 :
The positive integer divisors of 29 that completely divides 29 are.
1, 29
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
GCD of numbers is the greatest common divisor
So, the GCD (924, 357, 29, 748) = 1.
Given numbers are 924, 357, 29, 748
The list of prime factors of all numbers are
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
Prime factors of 357 are 3 x 7 x 17
Prime factors of 29 are 29
Prime factors of 748 are 2 x 2 x 11 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 924, 357, 29, 748
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(924, 357) = 15708
GCD(924, 357) = ( 924 x 357 ) / 15708
= 924 / 357
= 924
Step2:
LCM(21, 29) = 609
GCD(21, 29) = ( 21 x 29 ) / 609
= 21 / 29
= 21
Step3:
LCM(1, 748) = 748
GCD(1, 748) = ( 1 x 748 ) / 748
= 1 / 748
= 1
So, Greatest Common Divisor of 924, 357, 29, 748 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 924, 357, 29, 748
The greatest common divisor of numbers 924, 357, 29, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 357, 29, 748 is 1.
1. What is the GCD of 924, 357, 29, 748?
GCD of given numbers 924, 357, 29, 748 is 1
2. How to calculate the greatest common divisor of 924, 357, 29, 748?
We can find the highest common divisor of 924, 357, 29, 748 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 924, 357, 29, 748 i.e 1.
3. How can I use the GCD of 924, 357, 29, 748Calculator?
Out the numbers 924, 357, 29, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.