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GCF of 711/29, 945/291

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 711/29, 945/291 i.e 9/8439 easily. The following is the detailed procedure to determine the greatest common factor of fractions 711/29, 945/291.

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 711/29,945/291?

Given fractions are 711/29,945/291

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 711/29,945/291, numerators are 711,945

Denominators are 29,291

The GCF of 711,945 is 9 .

LCM of 29,291 is 8439.

The greatest common factor of 711/29,945/291 = [GCF of 711,945]/[LCM of 29,291]= 9/8439

Therefore, the GCF of 711/29,945/291 is 9/8439.

Greatest Common Factor of 711,945

To find the highest common factor of 711,945, we have to find the factors of both numbers and list the highest common factor.

The factors of 711 are 1, 3, 9, 79, 237, 711

The factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

The HCF of 711,945 is 9.

Lets's calculate GCF of 711,945

Greatest Common Factor (GCF) of 711,945 By Common Division

3 711, 945
3 237, 315
79, 105

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 711,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 711,945 By Matching Biggest Common Factor Method

Now, list down the factors of 711

:

1,3,9,79,237,711

Now, list down the factors of 945

:

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 711,945 . The biggest common factor number is the GCF number.
So the greatest common factor 711,945 is 9.

Lets's calculate LCM of 29,291

Lowest Common Multiple of 29,291 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8439

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/8439

Therefore, the GCF of Fractions 711/29,945/291 is 9/8439

Least Common Multiple of 29,291 with GCF Formula

Least Common Multiple of 29,291 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 29,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,291) = 1

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

GCF(29,291) x common factors =1 x 1 = 1

LCM(29,291) = ( 29 × 291 ) / 1

LCM(29,291) = 8439 / 1

LCM(29,291) = 8439


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 711/29, 945/291

1. What is the HCF of 711,945?

The HCF of 711,945 is 9

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 711/29, 945/291?

Answer: GCF of Numerators as per given numbers 711/29, 945/291 is

GCF of Numerators i.e. for 711,945 is 9

LCM of denominators i.e. for 29,291 is 8439.

Thus, GCF of Fractions is 9/8439.Finally, GCF of Fractions for 711/29, 945/291 is 9/8439.