Greatest Common Factor of 1155/269, 8030/9540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1155/269, 8030/9540

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 1155/269,8030/9540

Given fractions are 1155/269,8030/9540

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 1155,8030

Greatest Common Factor of Numerators i.e. GCF of 1155,8030 is 55 .

LCM of Denominators means LCM of 269,9540 as per the given fractions.

LCM of 269,9540 is 2566260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1155,8030

GCF of Fractions 1155/269,8030/9540 is 55/2566260

5 1155, 8030
11 231, 1606
21, 146

∴ So the GCF of the given numbers is 5 x 11 = 55

Greatest Common Factor of 1155,8030 By Matching Biggest Common Factor Method

Greatest Common Factor of 1155,8030 By Matching Biggest Common Factor Method

Factors of 1155

List of positive integer factors of 1155 that divides 1155 without a remainder.

1,3,5,7,11,15,21,33,35,55,77,105,165,231,385,1155

Factors of 8030

List of positive integer factors of 8030 that divides 8030 without a remainder.

1,2,5,10,11,22,55,73,110,146,365,730,803,1606,4015,8030

Greatest Common Factor

We found the factors 1155,8030 . The biggest common factor number is the GCF number.
So the greatest common factor 1155,8030 is 55.

Lets's calculate LCM of 269,9540

Given numbers has no common factors except 1. So, there LCM is their product i.e 2566260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 55/2566260

Therefore, the GCF of Fractions 1155/269,8030/9540 is 55/2566260

Least Common Multiple of 269,9540 with GCF Formula

Least Common Multiple of 269,9540 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 269,9540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(269,9540) = 1

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

GCF(269,9540) x common factors =1 x 1 = 1

LCM(269,9540) = ( 269 × 9540 ) / 1

LCM(269,9540) = 2566260 / 1

LCM(269,9540) = 2566260


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 1155/269, 8030/9540

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 1155/269, 8030/9540?

Answer: GCF of Numerators as per given numbers 1155/269, 8030/9540 is

GCF of Numerators i.e. for 1155,8030 is 55

LCM of denominators i.e. for 269,9540 is 2566260.

Thus, GCF of Fractions is 55/2566260.Finally, GCF of Fractions for 1155/269, 8030/9540 is 55/2566260.