Online GCD Calculator is useful to find the GCD of 148, 974, 667, 378 quickly. Get the easiest ways to solve the greatest common divisor of 148, 974, 667, 378 i.e 1 in different methods as follows.
Given Input numbers are 148, 974, 667, 378
In the factoring method, we have to find the divisors of all numbers
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
Divisors of 974 :
The positive integer divisors of 974 that completely divides 974 are.
1, 2, 487, 974
Divisors of 667 :
The positive integer divisors of 667 that completely divides 667 are.
1, 23, 29, 667
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
GCD of numbers is the greatest common divisor
So, the GCD (148, 974, 667, 378) = 1.
Given numbers are 148, 974, 667, 378
The list of prime factors of all numbers are
Prime factors of 148 are 2 x 2 x 37
Prime factors of 974 are 2 x 487
Prime factors of 667 are 23 x 29
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 148, 974, 667, 378
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(148, 974) = 72076
GCD(148, 974) = ( 148 x 974 ) / 72076
= 148 / 974
= 148
Step2:
LCM(2, 667) = 1334
GCD(2, 667) = ( 2 x 667 ) / 1334
= 2 / 667
= 2
Step3:
LCM(1, 378) = 378
GCD(1, 378) = ( 1 x 378 ) / 378
= 1 / 378
= 1
So, Greatest Common Divisor of 148, 974, 667, 378 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 148, 974, 667, 378
The greatest common divisor of numbers 148, 974, 667, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 148, 974, 667, 378 is 1.
1. What is the GCD of 148, 974, 667, 378?
GCD of given numbers 148, 974, 667, 378 is 1
2. How to calculate the greatest common divisor of 148, 974, 667, 378?
We can find the highest common divisor of 148, 974, 667, 378 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 148, 974, 667, 378 i.e 1.
3. How can I use the GCD of 148, 974, 667, 378Calculator?
Out the numbers 148, 974, 667, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.