GCD of 248, 414, 660, 725 Calculator

Given Input numbers are 248, 414, 660, 725

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

Divisors of 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

GCD of numbers is the greatest common divisor

So, the GCD (248, 414, 660, 725) = 1.

Given numbers are 248, 414, 660, 725

The list of prime factors of all numbers are

Prime factors of 248 are 2 x 2 x 2 x 31

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 725 are 5 x 5 x 29

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

Given numbers are 248, 414, 660, 725

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

Apply this formula for all numbers.

Step1:

LCM(248, 414) = 51336

GCD(248, 414) = ( 248 x 414 ) / 51336

= 248 / 414

= 248

Step2:

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

= 2 / 660

= 2

Step3:

LCM(2, 725) = 1450

GCD(2, 725) = ( 2 x 725 ) / 1450

= 2 / 725

= 2

So, Greatest Common Divisor of 248, 414, 660, 725 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 125, 543, 132, 680
• GCD of 492, 846, 696, 372
• GCD of 254, 582, 527, 390
• GCD of 316, 100, 915, 213
• GCD of 747, 956, 475, 511

Given numbers are 248, 414, 660, 725
The greatest common divisor of numbers 248, 414, 660, 725 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 248, 414, 660, 725 is 1.

1. What is the GCD of 248, 414, 660, 725?

GCD of given numbers 248, 414, 660, 725 is 1

2. How to calculate the greatest common divisor of 248, 414, 660, 725?

We can find the highest common divisor of 248, 414, 660, 725 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 248, 414, 660, 725 i.e 1.

3. How can I use the GCD of 248, 414, 660, 725Calculator?

Out the numbers 248, 414, 660, 725 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.