GCD of 735, 963, 846, 771 Calculator

Given Input numbers are 735, 963, 846, 771

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

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

Divisors of 963 :

The positive integer divisors of 963 that completely divides 963 are.

1, 3, 9, 107, 321, 963

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

GCD of numbers is the greatest common divisor

So, the GCD (735, 963, 846, 771) = 3.

Given numbers are 735, 963, 846, 771

The list of prime factors of all numbers are

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

Prime factors of 963 are 3 x 3 x 107

Prime factors of 846 are 2 x 3 x 3 x 47

Prime factors of 771 are 3 x 257

The highest common occurrence is 3¹

Therefore, GCD of 735, 963, 846, 771 is 3.

Given numbers are 735, 963, 846, 771

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

Apply this formula for all numbers.

Step1:

LCM(735, 963) = 235935

GCD(735, 963) = ( 735 x 963 ) / 235935

= 735 / 963

= 735

Step2:

LCM(3, 846) = 846

GCD(3, 846) = ( 3 x 846 ) / 846

= 3 / 846

= 3

Step3:

LCM(3, 771) = 771

GCD(3, 771) = ( 3 x 771 ) / 771

= 3 / 771

= 3

So, Greatest Common Divisor of 735, 963, 846, 771 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 993, 283, 851, 763
• GCD of 471, 625, 704, 785
• GCD of 820, 603, 624, 256
• GCD of 456, 554, 172, 703
• GCD of 690, 372, 669, 291

Given numbers are 735, 963, 846, 771
The greatest common divisor of numbers 735, 963, 846, 771 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 963, 846, 771 is 3.

1. What is the GCD of 735, 963, 846, 771?

GCD of given numbers 735, 963, 846, 771 is 3

2. How to calculate the greatest common divisor of 735, 963, 846, 771?

We can find the highest common divisor of 735, 963, 846, 771 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 735, 963, 846, 771 i.e 3.

3. How can I use the GCD of 735, 963, 846, 771Calculator?

Out the numbers 735, 963, 846, 771 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.