GCD of 748, 916, 471, 735 Calculator

Given Input numbers are 748, 916, 471, 735

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 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

GCD of numbers is the greatest common divisor

So, the GCD (748, 916, 471, 735) = 1.

Given numbers are 748, 916, 471, 735

The list of prime factors of all numbers are

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

Prime factors of 916 are 2 x 2 x 229

Prime factors of 471 are 3 x 157

Prime factors of 735 are 3 x 5 x 7 x 7

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

Given numbers are 748, 916, 471, 735

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

Apply this formula for all numbers.

Step1:

LCM(748, 916) = 171292

GCD(748, 916) = ( 748 x 916 ) / 171292

= 748 / 916

= 748

Step2:

LCM(4, 471) = 1884

GCD(4, 471) = ( 4 x 471 ) / 1884

= 4 / 471

= 4

Step3:

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

= 1 / 735

= 1

So, Greatest Common Divisor of 748, 916, 471, 735 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 192, 656, 562, 505
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• GCD of 749, 795, 143, 852
• GCD of 672, 984, 965, 814

Given numbers are 748, 916, 471, 735
The greatest common divisor of numbers 748, 916, 471, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 916, 471, 735 is 1.

1. What is the GCD of 748, 916, 471, 735?

GCD of given numbers 748, 916, 471, 735 is 1

2. How to calculate the greatest common divisor of 748, 916, 471, 735?

We can find the highest common divisor of 748, 916, 471, 735 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, 916, 471, 735 i.e 1.

3. How can I use the GCD of 748, 916, 471, 735Calculator?

Out the numbers 748, 916, 471, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.