Online GCD Calculator is useful to find the GCD of 762, 948, 342, 542 quickly. Get the easiest ways to solve the greatest common divisor of 762, 948, 342, 542 i.e 2 in different methods as follows.
Given Input numbers are 762, 948, 342, 542
In the factoring method, we have to find the divisors of all numbers
Divisors of 762 :
The positive integer divisors of 762 that completely divides 762 are.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 948 :
The positive integer divisors of 948 that completely divides 948 are.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
GCD of numbers is the greatest common divisor
So, the GCD (762, 948, 342, 542) = 2.
Given numbers are 762, 948, 342, 542
The list of prime factors of all numbers are
Prime factors of 762 are 2 x 3 x 127
Prime factors of 948 are 2 x 2 x 3 x 79
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 542 are 2 x 271
The highest common occurrence is 21
Therefore, GCD of 762, 948, 342, 542 is 2.
Given numbers are 762, 948, 342, 542
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(762, 948) = 120396
GCD(762, 948) = ( 762 x 948 ) / 120396
= 762 / 948
= 762
Step2:
LCM(6, 342) = 342
GCD(6, 342) = ( 6 x 342 ) / 342
= 6 / 342
= 6
Step3:
LCM(6, 542) = 1626
GCD(6, 542) = ( 6 x 542 ) / 1626
= 6 / 542
= 6
So, Greatest Common Divisor of 762, 948, 342, 542 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 762, 948, 342, 542
The greatest common divisor of numbers 762, 948, 342, 542 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 762, 948, 342, 542 is 2.
1. What is the GCD of 762, 948, 342, 542?
GCD of given numbers 762, 948, 342, 542 is 2
2. How to calculate the greatest common divisor of 762, 948, 342, 542?
We can find the highest common divisor of 762, 948, 342, 542 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 762, 948, 342, 542 i.e 2.
3. How can I use the GCD of 762, 948, 342, 542Calculator?
Out the numbers 762, 948, 342, 542 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.