GCD of 748, 378, 550, 975 Calculator

Given Input numbers are 748, 378, 550, 975

In the factoring method, we have to find the divisors of all numbers

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

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

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

GCD of numbers is the greatest common divisor

So, the GCD (748, 378, 550, 975) = 1.

Given numbers are 748, 378, 550, 975

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 975 are 3 x 5 x 5 x 13

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 748, 378, 550, 975

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(748, 378) = 141372

GCD(748, 378) = ( 748 x 378 ) / 141372

= 748 / 378

= 748

Step2:

LCM(2, 550) = 550

GCD(2, 550) = ( 2 x 550 ) / 550

= 2 / 550

= 2

Step3:

LCM(2, 975) = 1950

GCD(2, 975) = ( 2 x 975 ) / 1950

= 2 / 975

= 2

So, Greatest Common Divisor of 748, 378, 550, 975 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 689, 279, 400, 220
• GCD of 554, 624, 978, 995
• GCD of 504, 590, 712, 771
• GCD of 418, 540, 807, 146
• GCD of 424, 500, 593, 195

Given numbers are 748, 378, 550, 975
The greatest common divisor of numbers 748, 378, 550, 975 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 378, 550, 975 is 1.

1. What is the GCD of 748, 378, 550, 975?

GCD of given numbers 748, 378, 550, 975 is 1

2. How to calculate the greatest common divisor of 748, 378, 550, 975?

We can find the highest common divisor of 748, 378, 550, 975 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 748, 378, 550, 975 i.e 1.

3. How can I use the GCD of 748, 378, 550, 975Calculator?

Out the numbers 748, 378, 550, 975 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.