Greatest Common Factor of 265/80, 414/12, 810/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 265/80, 414/12, 810/279

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 265/80,414/12,810/279

Given fractions are 265/80,414/12,810/279

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 265,414,810

Greatest Common Factor of Numerators i.e. GCF of 265,414,810 is 1 .

LCM of Denominators means LCM of 80,12,279 as per the given fractions.

LCM of 80,12,279 is 22320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 265,414,810

GCF of Fractions 265/80,414/12,810/279 is 1/22320

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

Greatest Common Factor of 265,414,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 265,414,810 By Matching Biggest Common Factor Method

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 265,414,810 . The biggest common factor number is the GCF number.
So the greatest common factor 265,414,810 is 1.

Lets's calculate LCM of 80,12,279

2 80, 12, 279
2 40, 6, 279
3 20, 3, 279
20, 1, 93

∴ So the LCM of the given numbers is 2 x 2 x 3 x 20 x 1 x 93 = 22320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22320

Therefore, the GCF of Fractions 265/80,414/12,810/279 is 1/22320

Least Common Multiple of 80,12,279 with GCF Formula

Least Common Multiple of 80,12,279 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 80,12,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,12,279) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(80,12,279) x common factors =1 x 12 = 12

LCM(80,12,279) = ( 80 × 12 × 279 ) / 12

LCM(80,12,279) = 267840 / 12

LCM(80,12,279) = 22320


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 265/80, 414/12, 810/279

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 265/80, 414/12, 810/279?

Answer: GCF of Numerators as per given numbers 265/80, 414/12, 810/279 is

GCF of Numerators i.e. for 265,414,810 is 1

LCM of denominators i.e. for 80,12,279 is 22320.

Thus, GCF of Fractions is 1/22320.Finally, GCF of Fractions for 265/80, 414/12, 810/279 is 1/22320.