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GCF of 969/20, 665/227

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 969/20, 665/227 i.e 19/4540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 969/20, 665/227.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 969/20,665/227?

Given fractions are 969/20,665/227

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 969/20,665/227, numerators are 969,665

Denominators are 20,227

The GCF of 969,665 is 19 .

LCM of 20,227 is 4540.

The greatest common factor of 969/20,665/227 = [GCF of 969,665]/[LCM of 20,227]= 19/4540

Therefore, the GCF of 969/20,665/227 is 19/4540.

Greatest Common Factor of 969,665

To find the highest common factor of 969,665, we have to find the factors of both numbers and list the highest common factor.

The factors of 969 are 1, 3, 17, 19, 51, 57, 323, 969

The factors of 665 are 1, 5, 7, 19, 35, 95, 133, 665

The HCF of 969,665 is 19.

Lets's calculate GCF of 969,665

Greatest Common Factor (GCF) of 969,665 By Common Division

19 969, 665
51, 35

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 969,665 By Matching Biggest Common Factor Method

Greatest Common Factor of 969,665 By Matching Biggest Common Factor Method

Now, list down the factors of 969

:

1,3,17,19,51,57,323,969

Now, list down the factors of 665

:

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 969,665 . The biggest common factor number is the GCF number.
So the greatest common factor 969,665 is 19.

Lets's calculate LCM of 20,227

Lowest Common Multiple of 20,227 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/4540

Therefore, the GCF of Fractions 969/20,665/227 is 19/4540

Least Common Multiple of 20,227 with GCF Formula

Least Common Multiple of 20,227 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 20,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,227) = 1

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

GCF(20,227) x common factors =1 x 1 = 1

LCM(20,227) = ( 20 × 227 ) / 1

LCM(20,227) = 4540 / 1

LCM(20,227) = 4540


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FAQs on GCF of Fractions of 969/20, 665/227

1. What is the HCF of 969,665?

The HCF of 969,665 is 19

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 969/20, 665/227?

Answer: GCF of Numerators as per given numbers 969/20, 665/227 is

GCF of Numerators i.e. for 969,665 is 19

LCM of denominators i.e. for 20,227 is 4540.

Thus, GCF of Fractions is 19/4540.Finally, GCF of Fractions for 969/20, 665/227 is 19/4540.