Online GCD Calculator is useful to find the GCD of 747, 762, 387, 357 quickly. Get the easiest ways to solve the greatest common divisor of 747, 762, 387, 357 i.e 3 in different methods as follows.
Given Input numbers are 747, 762, 387, 357
In the factoring method, we have to find the divisors of all numbers
Divisors of 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
Divisors of 762 :
The positive integer divisors of 762 that completely divides 762 are.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 387 :
The positive integer divisors of 387 that completely divides 387 are.
1, 3, 9, 43, 129, 387
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
GCD of numbers is the greatest common divisor
So, the GCD (747, 762, 387, 357) = 3.
Given numbers are 747, 762, 387, 357
The list of prime factors of all numbers are
Prime factors of 747 are 3 x 3 x 83
Prime factors of 762 are 2 x 3 x 127
Prime factors of 387 are 3 x 3 x 43
Prime factors of 357 are 3 x 7 x 17
The highest common occurrence is 31
Therefore, GCD of 747, 762, 387, 357 is 3.
Given numbers are 747, 762, 387, 357
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(747, 762) = 189738
GCD(747, 762) = ( 747 x 762 ) / 189738
= 747 / 762
= 747
Step2:
LCM(3, 387) = 387
GCD(3, 387) = ( 3 x 387 ) / 387
= 3 / 387
= 3
Step3:
LCM(3, 357) = 357
GCD(3, 357) = ( 3 x 357 ) / 357
= 3 / 357
= 3
So, Greatest Common Divisor of 747, 762, 387, 357 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 747, 762, 387, 357
The greatest common divisor of numbers 747, 762, 387, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 762, 387, 357 is 3.
1. What is the GCD of 747, 762, 387, 357?
GCD of given numbers 747, 762, 387, 357 is 3
2. How to calculate the greatest common divisor of 747, 762, 387, 357?
We can find the highest common divisor of 747, 762, 387, 357 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 747, 762, 387, 357 i.e 3.
3. How can I use the GCD of 747, 762, 387, 357Calculator?
Out the numbers 747, 762, 387, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.