GCD of 763, 980, 735 Calculator

Given Input numbers are 763, 980, 735

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

Divisors of 763 :

The positive integer divisors of 763 that completely divides 763 are.

1, 7, 109, 763

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

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 (763, 980, 735) = 7.

Given numbers are 763, 980, 735

The list of prime factors of all numbers are

Prime factors of 763 are 7 x 109

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

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

The highest common occurrence is 7¹

Therefore, GCD of 763, 980, 735 is 7.

Given numbers are 763, 980, 735

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

Apply this formula for all numbers.

Step1:

LCM(763, 980) = 106820

GCD(763, 980) = ( 763 x 980 ) / 106820

= 763 / 980

= 763

Step2:

LCM(7, 735) = 735

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

= 7 / 735

= 7

So, Greatest Common Divisor of 763, 980, 735 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 941, 354, 802
• GCD of 113, 133, 444
• GCD of 728, 195, 483
• GCD of 973, 845, 401
• GCD of 112, 841, 717

Given numbers are 763, 980, 735
The greatest common divisor of numbers 763, 980, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 763, 980, 735 is 7.

1. What is the GCD of 763, 980, 735?

GCD of given numbers 763, 980, 735 is 7

2. How to calculate the greatest common divisor of 763, 980, 735?

We can find the highest common divisor of 763, 980, 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 763, 980, 735 i.e 7.

3. How can I use the GCD of 763, 980, 735Calculator?

Out the numbers 763, 980, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.