Greatest Common Factor of 675/775, 9138/4802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 675/775, 9138/4802

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 675/775,9138/4802

Given fractions are 675/775,9138/4802

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 675,9138

Greatest Common Factor of Numerators i.e. GCF of 675,9138 is 3 .

LCM of Denominators means LCM of 775,4802 as per the given fractions.

LCM of 775,4802 is 3721550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 675,9138

GCF of Fractions 675/775,9138/4802 is 3/3721550

3 675, 9138
225, 3046

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 675,9138 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,9138 By Matching Biggest Common Factor Method

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 9138

List of positive integer factors of 9138 that divides 9138 without a remainder.

1,2,3,6,1523,3046,4569,9138

Greatest Common Factor

We found the factors 675,9138 . The biggest common factor number is the GCF number.
So the greatest common factor 675,9138 is 3.

Lets's calculate LCM of 775,4802

Given numbers has no common factors except 1. So, there LCM is their product i.e 3721550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3721550

Therefore, the GCF of Fractions 675/775,9138/4802 is 3/3721550

Least Common Multiple of 775,4802 with GCF Formula

Least Common Multiple of 775,4802 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 775,4802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(775,4802) = 1

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

GCF(775,4802) x common factors =1 x 1 = 1

LCM(775,4802) = ( 775 × 4802 ) / 1

LCM(775,4802) = 3721550 / 1

LCM(775,4802) = 3721550


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 675/775, 9138/4802

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 675/775, 9138/4802?

Answer: GCF of Numerators as per given numbers 675/775, 9138/4802 is

GCF of Numerators i.e. for 675,9138 is 3

LCM of denominators i.e. for 775,4802 is 3721550.

Thus, GCF of Fractions is 3/3721550.Finally, GCF of Fractions for 675/775, 9138/4802 is 3/3721550.