Greatest Common Factor of 299/65, 153/88, 520/653

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 299/65, 153/88, 520/653

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 299/65,153/88,520/653

Given fractions are 299/65,153/88,520/653

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 299,153,520

Greatest Common Factor of Numerators i.e. GCF of 299,153,520 is 1 .

LCM of Denominators means LCM of 65,88,653 as per the given fractions.

LCM of 65,88,653 is 3735160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 299,153,520

GCF of Fractions 299/65,153/88,520/653 is 1/3735160

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

Greatest Common Factor of 299,153,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 299,153,520 By Matching Biggest Common Factor Method

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 299,153,520 . The biggest common factor number is the GCF number.
So the greatest common factor 299,153,520 is 1.

Lets's calculate LCM of 65,88,653

Given numbers has no common factors except 1. So, there LCM is their product i.e 3735160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3735160

Therefore, the GCF of Fractions 299/65,153/88,520/653 is 1/3735160

Least Common Multiple of 65,88,653 with GCF Formula

Least Common Multiple of 65,88,653 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 65,88,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,88,653) = 1

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

GCF(65,88,653) x common factors =1 x 1 = 1

LCM(65,88,653) = ( 65 × 88 × 653 ) / 1

LCM(65,88,653) = 3735160 / 1

LCM(65,88,653) = 3735160


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 299/65, 153/88, 520/653

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 299/65, 153/88, 520/653?

Answer: GCF of Numerators as per given numbers 299/65, 153/88, 520/653 is

GCF of Numerators i.e. for 299,153,520 is 1

LCM of denominators i.e. for 65,88,653 is 3735160.

Thus, GCF of Fractions is 1/3735160.Finally, GCF of Fractions for 299/65, 153/88, 520/653 is 1/3735160.