GCD of 763, 490, 707 Calculator

Given Input numbers are 763, 490, 707

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 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 707 :

The positive integer divisors of 707 that completely divides 707 are.

1, 7, 101, 707

GCD of numbers is the greatest common divisor

So, the GCD (763, 490, 707) = 7.

Given numbers are 763, 490, 707

The list of prime factors of all numbers are

Prime factors of 763 are 7 x 109

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 707 are 7 x 101

The highest common occurrence is 7¹

Therefore, GCD of 763, 490, 707 is 7.

Given numbers are 763, 490, 707

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

Apply this formula for all numbers.

Step1:

LCM(763, 490) = 53410

GCD(763, 490) = ( 763 x 490 ) / 53410

= 763 / 490

= 763

Step2:

LCM(7, 707) = 707

GCD(7, 707) = ( 7 x 707 ) / 707

= 7 / 707

= 7

So, Greatest Common Divisor of 763, 490, 707 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 298, 306, 864
• GCD of 958, 163, 121
• GCD of 226, 428, 158
• GCD of 428, 345, 405
• GCD of 597, 599, 192

Given numbers are 763, 490, 707
The greatest common divisor of numbers 763, 490, 707 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 763, 490, 707 is 7.

1. What is the GCD of 763, 490, 707?

GCD of given numbers 763, 490, 707 is 7

2. How to calculate the greatest common divisor of 763, 490, 707?

We can find the highest common divisor of 763, 490, 707 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, 490, 707 i.e 7.

3. How can I use the GCD of 763, 490, 707Calculator?

Out the numbers 763, 490, 707 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.