Online GCD Calculator is useful to find the GCD of 762, 142, 147, 315 quickly. Get the easiest ways to solve the greatest common divisor of 762, 142, 147, 315 i.e 1 in different methods as follows.
Given Input numbers are 762, 142, 147, 315
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 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
GCD of numbers is the greatest common divisor
So, the GCD (762, 142, 147, 315) = 1.
Given numbers are 762, 142, 147, 315
The list of prime factors of all numbers are
Prime factors of 762 are 2 x 3 x 127
Prime factors of 142 are 2 x 71
Prime factors of 147 are 3 x 7 x 7
Prime factors of 315 are 3 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 762, 142, 147, 315
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(762, 142) = 54102
GCD(762, 142) = ( 762 x 142 ) / 54102
= 762 / 142
= 762
Step2:
LCM(2, 147) = 294
GCD(2, 147) = ( 2 x 147 ) / 294
= 2 / 147
= 2
Step3:
LCM(1, 315) = 315
GCD(1, 315) = ( 1 x 315 ) / 315
= 1 / 315
= 1
So, Greatest Common Divisor of 762, 142, 147, 315 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 762, 142, 147, 315
The greatest common divisor of numbers 762, 142, 147, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 762, 142, 147, 315 is 1.
1. What is the GCD of 762, 142, 147, 315?
GCD of given numbers 762, 142, 147, 315 is 1
2. How to calculate the greatest common divisor of 762, 142, 147, 315?
We can find the highest common divisor of 762, 142, 147, 315 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, 142, 147, 315 i.e 1.
3. How can I use the GCD of 762, 142, 147, 315Calculator?
Out the numbers 762, 142, 147, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.