Online GCD Calculator is useful to find the GCD of 147, 149, 354, 708 quickly. Get the easiest ways to solve the greatest common divisor of 147, 149, 354, 708 i.e 1 in different methods as follows.
Given Input numbers are 147, 149, 354, 708
In the factoring method, we have to find the divisors of all numbers
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
Divisors of 149 :
The positive integer divisors of 149 that completely divides 149 are.
1, 149
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
GCD of numbers is the greatest common divisor
So, the GCD (147, 149, 354, 708) = 1.
Given numbers are 147, 149, 354, 708
The list of prime factors of all numbers are
Prime factors of 147 are 3 x 7 x 7
Prime factors of 149 are 149
Prime factors of 354 are 2 x 3 x 59
Prime factors of 708 are 2 x 2 x 3 x 59
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 147, 149, 354, 708
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(147, 149) = 21903
GCD(147, 149) = ( 147 x 149 ) / 21903
= 147 / 149
= 147
Step2:
LCM(1, 354) = 354
GCD(1, 354) = ( 1 x 354 ) / 354
= 1 / 354
= 1
Step3:
LCM(1, 708) = 708
GCD(1, 708) = ( 1 x 708 ) / 708
= 1 / 708
= 1
So, Greatest Common Divisor of 147, 149, 354, 708 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 147, 149, 354, 708
The greatest common divisor of numbers 147, 149, 354, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 147, 149, 354, 708 is 1.
1. What is the GCD of 147, 149, 354, 708?
GCD of given numbers 147, 149, 354, 708 is 1
2. How to calculate the greatest common divisor of 147, 149, 354, 708?
We can find the highest common divisor of 147, 149, 354, 708 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 147, 149, 354, 708 i.e 1.
3. How can I use the GCD of 147, 149, 354, 708Calculator?
Out the numbers 147, 149, 354, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.