Greatest Common Factor of 804/66, 430/89, 853/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 804/66, 430/89, 853/114

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 804/66,430/89,853/114

Given fractions are 804/66,430/89,853/114

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 804,430,853

Greatest Common Factor of Numerators i.e. GCF of 804,430,853 is 1 .

LCM of Denominators means LCM of 66,89,114 as per the given fractions.

LCM of 66,89,114 is 111606 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 804,430,853

GCF of Fractions 804/66,430/89,853/114 is 1/111606

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 804,430,853 By Matching Biggest Common Factor Method

Greatest Common Factor of 804,430,853 By Matching Biggest Common Factor Method

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Factors of 853

List of positive integer factors of 853 that divides 853 without a remainder.

1,853

Greatest Common Factor

We found the factors 804,430,853 . The biggest common factor number is the GCF number.
So the greatest common factor 804,430,853 is 1.

Lets's calculate LCM of 66,89,114

2 66, 89, 114
3 33, 89, 57
11, 89, 19

∴ So the LCM of the given numbers is 2 x 3 x 11 x 89 x 19 = 111606

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111606

Therefore, the GCF of Fractions 804/66,430/89,853/114 is 1/111606

Least Common Multiple of 66,89,114 with GCF Formula

Least Common Multiple of 66,89,114 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 66,89,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,89,114) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(66,89,114) x common factors =1 x 6 = 6

LCM(66,89,114) = ( 66 × 89 × 114 ) / 6

LCM(66,89,114) = 669636 / 6

LCM(66,89,114) = 111606


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 804/66, 430/89, 853/114

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 804/66, 430/89, 853/114?

Answer: GCF of Numerators as per given numbers 804/66, 430/89, 853/114 is

GCF of Numerators i.e. for 804,430,853 is 1

LCM of denominators i.e. for 66,89,114 is 111606.

Thus, GCF of Fractions is 1/111606.Finally, GCF of Fractions for 804/66, 430/89, 853/114 is 1/111606.