Greatest Common Factor of 69/775, 93/228, 495/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/775, 93/228, 495/704

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 69/775,93/228,495/704

Given fractions are 69/775,93/228,495/704

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 69,93,495

Greatest Common Factor of Numerators i.e. GCF of 69,93,495 is 3 .

LCM of Denominators means LCM of 775,228,704 as per the given fractions.

LCM of 775,228,704 is 31099200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,93,495

GCF of Fractions 69/775,93/228,495/704 is 3/31099200

3 69, 93, 495
23, 31, 165

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

Greatest Common Factor of 69,93,495 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,93,495 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Greatest Common Factor

We found the factors 69,93,495 . The biggest common factor number is the GCF number.
So the greatest common factor 69,93,495 is 3.

Lets's calculate LCM of 775,228,704

2 775, 228, 704
2 775, 114, 352
775, 57, 176

∴ So the LCM of the given numbers is 2 x 2 x 775 x 57 x 176 = 31099200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/31099200

Therefore, the GCF of Fractions 69/775,93/228,495/704 is 3/31099200

Least Common Multiple of 775,228,704 with GCF Formula

Least Common Multiple of 775,228,704 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 775,228,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(775,228,704) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(775,228,704) x common factors =1 x 4 = 4

LCM(775,228,704) = ( 775 × 228 × 704 ) / 4

LCM(775,228,704) = 124396800 / 4

LCM(775,228,704) = 31099200


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 69/775, 93/228, 495/704

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 69/775, 93/228, 495/704?

Answer: GCF of Numerators as per given numbers 69/775, 93/228, 495/704 is

GCF of Numerators i.e. for 69,93,495 is 3

LCM of denominators i.e. for 775,228,704 is 31099200.

Thus, GCF of Fractions is 3/31099200.Finally, GCF of Fractions for 69/775, 93/228, 495/704 is 3/31099200.