Online GCD Calculator is useful to find the GCD of 777, 987, 492, 762 quickly. Get the easiest ways to solve the greatest common divisor of 777, 987, 492, 762 i.e 3 in different methods as follows.
Given Input numbers are 777, 987, 492, 762
In the factoring method, we have to find the divisors of all numbers
Divisors of 777 :
The positive integer divisors of 777 that completely divides 777 are.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 762 :
The positive integer divisors of 762 that completely divides 762 are.
1, 2, 3, 6, 127, 254, 381, 762
GCD of numbers is the greatest common divisor
So, the GCD (777, 987, 492, 762) = 3.
Given numbers are 777, 987, 492, 762
The list of prime factors of all numbers are
Prime factors of 777 are 3 x 7 x 37
Prime factors of 987 are 3 x 7 x 47
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 762 are 2 x 3 x 127
The highest common occurrence is 31
Therefore, GCD of 777, 987, 492, 762 is 3.
Given numbers are 777, 987, 492, 762
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(777, 987) = 36519
GCD(777, 987) = ( 777 x 987 ) / 36519
= 777 / 987
= 777
Step2:
LCM(21, 492) = 3444
GCD(21, 492) = ( 21 x 492 ) / 3444
= 21 / 492
= 21
Step3:
LCM(3, 762) = 762
GCD(3, 762) = ( 3 x 762 ) / 762
= 3 / 762
= 3
So, Greatest Common Divisor of 777, 987, 492, 762 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 777, 987, 492, 762
The greatest common divisor of numbers 777, 987, 492, 762 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 777, 987, 492, 762 is 3.
1. What is the GCD of 777, 987, 492, 762?
GCD of given numbers 777, 987, 492, 762 is 3
2. How to calculate the greatest common divisor of 777, 987, 492, 762?
We can find the highest common divisor of 777, 987, 492, 762 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 777, 987, 492, 762 i.e 3.
3. How can I use the GCD of 777, 987, 492, 762Calculator?
Out the numbers 777, 987, 492, 762 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.