Greatest Common Factor of 5808/754, 6655/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5808/754, 6655/765

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 5808/754,6655/765

Given fractions are 5808/754,6655/765

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 5808,6655

Greatest Common Factor of Numerators i.e. GCF of 5808,6655 is 121 .

LCM of Denominators means LCM of 754,765 as per the given fractions.

LCM of 754,765 is 576810 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5808,6655

GCF of Fractions 5808/754,6655/765 is 121/576810

11 5808, 6655
11 528, 605
48, 55

∴ So the GCF of the given numbers is 11 x 11 = 121

Greatest Common Factor of 5808,6655 By Matching Biggest Common Factor Method

Greatest Common Factor of 5808,6655 By Matching Biggest Common Factor Method

Factors of 5808

List of positive integer factors of 5808 that divides 5808 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,121,132,176,242,264,363,484,528,726,968,1452,1936,2904,5808

Factors of 6655

List of positive integer factors of 6655 that divides 6655 without a remainder.

1,5,11,55,121,605,1331,6655

Greatest Common Factor

We found the factors 5808,6655 . The biggest common factor number is the GCF number.
So the greatest common factor 5808,6655 is 121.

Lets's calculate LCM of 754,765

Given numbers has no common factors except 1. So, there LCM is their product i.e 576810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 121/576810

Therefore, the GCF of Fractions 5808/754,6655/765 is 121/576810

Least Common Multiple of 754,765 with GCF Formula

Least Common Multiple of 754,765 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 754,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,765) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(754,765) x common factors =1 x 1 = 1

LCM(754,765) = ( 754 × 765 ) / 1

LCM(754,765) = 576810 / 1

LCM(754,765) = 576810


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 5808/754, 6655/765

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 5808/754, 6655/765?

Answer: GCF of Numerators as per given numbers 5808/754, 6655/765 is

GCF of Numerators i.e. for 5808,6655 is 121

LCM of denominators i.e. for 754,765 is 576810.

Thus, GCF of Fractions is 121/576810.Finally, GCF of Fractions for 5808/754, 6655/765 is 121/576810.