GCD of 270, 688, 175, 148 Calculator

Given Input numbers are 270, 688, 175, 148

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

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

GCD of numbers is the greatest common divisor

So, the GCD (270, 688, 175, 148) = 1.

Given numbers are 270, 688, 175, 148

The list of prime factors of all numbers are

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 175 are 5 x 5 x 7

Prime factors of 148 are 2 x 2 x 37

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

Given numbers are 270, 688, 175, 148

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

Apply this formula for all numbers.

Step1:

LCM(270, 688) = 92880

GCD(270, 688) = ( 270 x 688 ) / 92880

= 270 / 688

= 270

Step2:

LCM(2, 175) = 350

GCD(2, 175) = ( 2 x 175 ) / 350

= 2 / 175

= 2

Step3:

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

= 1 / 148

= 1

So, Greatest Common Divisor of 270, 688, 175, 148 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 823, 722, 293, 893
• GCD of 240, 158, 140, 251
• GCD of 182, 867, 313, 622
• GCD of 537, 948, 130, 578
• GCD of 456, 890, 944, 432

Given numbers are 270, 688, 175, 148
The greatest common divisor of numbers 270, 688, 175, 148 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 688, 175, 148 is 1.

1. What is the GCD of 270, 688, 175, 148?

GCD of given numbers 270, 688, 175, 148 is 1

2. How to calculate the greatest common divisor of 270, 688, 175, 148?

We can find the highest common divisor of 270, 688, 175, 148 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 270, 688, 175, 148 i.e 1.

3. How can I use the GCD of 270, 688, 175, 148Calculator?

Out the numbers 270, 688, 175, 148 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.