GCD of 637, 896, 735 Calculator

Given Input numbers are 637, 896, 735

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

Divisors of 637 :

The positive integer divisors of 637 that completely divides 637 are.

1, 7, 13, 49, 91, 637

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

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 (637, 896, 735) = 7.

Given numbers are 637, 896, 735

The list of prime factors of all numbers are

Prime factors of 637 are 7 x 7 x 13

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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

The highest common occurrence is 7¹

Therefore, GCD of 637, 896, 735 is 7.

Given numbers are 637, 896, 735

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

Apply this formula for all numbers.

Step1:

LCM(637, 896) = 81536

GCD(637, 896) = ( 637 x 896 ) / 81536

= 637 / 896

= 637

Step2:

LCM(7, 735) = 735

GCD(7, 735) = ( 7 x 735 ) / 735

= 7 / 735

= 7

So, Greatest Common Divisor of 637, 896, 735 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 208, 817, 768
• GCD of 802, 377, 550
• GCD of 252, 892, 751
• GCD of 223, 292, 412
• GCD of 658, 515, 596

Given numbers are 637, 896, 735
The greatest common divisor of numbers 637, 896, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 637, 896, 735 is 7.

1. What is the GCD of 637, 896, 735?

GCD of given numbers 637, 896, 735 is 7

2. How to calculate the greatest common divisor of 637, 896, 735?

We can find the highest common divisor of 637, 896, 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 637, 896, 735 i.e 7.

3. How can I use the GCD of 637, 896, 735Calculator?

Out the numbers 637, 896, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.