GCD of 261, 700, 975, 725 Calculator

Given Input numbers are 261, 700, 975, 725

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

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

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

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 (261, 700, 975, 725) = 1.

Given numbers are 261, 700, 975, 725

The list of prime factors of all numbers are

Prime factors of 261 are 3 x 3 x 29

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

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

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 261, 700, 975, 725

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

Apply this formula for all numbers.

Step1:

LCM(261, 700) = 182700

GCD(261, 700) = ( 261 x 700 ) / 182700

= 261 / 700

= 261

Step2:

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

= 1 / 975

= 1

Step3:

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

= 1 / 725

= 1

So, Greatest Common Divisor of 261, 700, 975, 725 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 822, 990, 719, 605
• GCD of 946, 707, 971, 736
• GCD of 663, 146, 671, 463
• GCD of 741, 327, 755, 776
• GCD of 417, 838, 614, 688

Given numbers are 261, 700, 975, 725
The greatest common divisor of numbers 261, 700, 975, 725 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 700, 975, 725 is 1.

1. What is the GCD of 261, 700, 975, 725?

GCD of given numbers 261, 700, 975, 725 is 1

2. How to calculate the greatest common divisor of 261, 700, 975, 725?

We can find the highest common divisor of 261, 700, 975, 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 261, 700, 975, 725 i.e 1.

3. How can I use the GCD of 261, 700, 975, 725Calculator?

Out the numbers 261, 700, 975, 725 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.