GCD of 705, 705, 400, 148 Calculator

Given Input numbers are 705, 705, 400, 148

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

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 (705, 705, 400, 148) = 1.

Given numbers are 705, 705, 400, 148

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 705 are 3 x 5 x 47

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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 705, 705, 400, 148

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

Apply this formula for all numbers.

Step1:

LCM(705, 705) = 705

GCD(705, 705) = ( 705 x 705 ) / 705

= 705 / 705

= 705

Step2:

LCM(705, 400) = 56400

GCD(705, 400) = ( 705 x 400 ) / 56400

= 705 / 400

= 705

Step3:

LCM(5, 148) = 740

GCD(5, 148) = ( 5 x 148 ) / 740

= 5 / 148

= 5

So, Greatest Common Divisor of 705, 705, 400, 148 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 447, 836, 178, 552
• GCD of 437, 642, 757, 394
• GCD of 198, 399, 275, 659
• GCD of 893, 972, 924, 338
• GCD of 997, 487, 498, 254

Given numbers are 705, 705, 400, 148
The greatest common divisor of numbers 705, 705, 400, 148 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 705, 400, 148 is 1.

1. What is the GCD of 705, 705, 400, 148?

GCD of given numbers 705, 705, 400, 148 is 1

2. How to calculate the greatest common divisor of 705, 705, 400, 148?

We can find the highest common divisor of 705, 705, 400, 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 705, 705, 400, 148 i.e 1.

3. How can I use the GCD of 705, 705, 400, 148Calculator?

Out the numbers 705, 705, 400, 148 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.