GCD of 748, 672, 714, 261 Calculator

Given Input numbers are 748, 672, 714, 261

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 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 261 :

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

1, 3, 9, 29, 87, 261

GCD of numbers is the greatest common divisor

So, the GCD (748, 672, 714, 261) = 1.

Given numbers are 748, 672, 714, 261

The list of prime factors of all numbers are

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

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 261 are 3 x 3 x 29

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

Given numbers are 748, 672, 714, 261

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

Apply this formula for all numbers.

Step1:

LCM(748, 672) = 125664

GCD(748, 672) = ( 748 x 672 ) / 125664

= 748 / 672

= 748

Step2:

LCM(4, 714) = 1428

GCD(4, 714) = ( 4 x 714 ) / 1428

= 4 / 714

= 4

Step3:

LCM(2, 261) = 522

GCD(2, 261) = ( 2 x 261 ) / 522

= 2 / 261

= 2

So, Greatest Common Divisor of 748, 672, 714, 261 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 771, 384, 442, 707
• GCD of 250, 884, 452, 603
• GCD of 453, 137, 619, 253
• GCD of 993, 100, 359, 928
• GCD of 868, 688, 621, 304

Given numbers are 748, 672, 714, 261
The greatest common divisor of numbers 748, 672, 714, 261 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 672, 714, 261 is 1.

1. What is the GCD of 748, 672, 714, 261?

GCD of given numbers 748, 672, 714, 261 is 1

2. How to calculate the greatest common divisor of 748, 672, 714, 261?

We can find the highest common divisor of 748, 672, 714, 261 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, 672, 714, 261 i.e 1.

3. How can I use the GCD of 748, 672, 714, 261Calculator?

Out the numbers 748, 672, 714, 261 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.