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GCF of 913/488, 673/470

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 913/488, 673/470 i.e 1/114680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 913/488, 673/470.

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 913/488,673/470?

Given fractions are 913/488,673/470

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 913/488,673/470, numerators are 913,673

Denominators are 488,470

The GCF of 913,673 is 1 .

LCM of 488,470 is 114680.

The greatest common factor of 913/488,673/470 = [GCF of 913,673]/[LCM of 488,470]= 1/114680

Therefore, the GCF of 913/488,673/470 is 1/114680.

Greatest Common Factor of 913,673

To find the highest common factor of 913,673, we have to find the factors of both numbers and list the highest common factor.

The factors of 913 are 1, 11, 83, 913

The factors of 673 are 1, 673

The HCF of 913,673 is 1.

Lets's calculate GCF of 913,673

Greatest Common Factor (GCF) of 913,673 By Common Division

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

Greatest Common Factor of 913,673 By Matching Biggest Common Factor Method

Greatest Common Factor of 913,673 By Matching Biggest Common Factor Method

Now, list down the factors of 913

:

1,11,83,913

Now, list down the factors of 673

:

1,673

Greatest Common Factor

We found the factors 913,673 . The biggest common factor number is the GCF number.
So the greatest common factor 913,673 is 1.

Lets's calculate LCM of 488,470

Lowest Common Multiple of 488,470 using Common Division

2 488, 470
244, 235

∴ So the LCM of the given numbers is 2 x 244 x 235 = 114680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114680

Therefore, the GCF of Fractions 913/488,673/470 is 1/114680

Least Common Multiple of 488,470 with GCF Formula

Least Common Multiple of 488,470 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 488,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,470) = 2

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

GCF(488,470) x common factors =2 x 1 = 2

LCM(488,470) = ( 488 × 470 ) / 2

LCM(488,470) = 229360 / 2

LCM(488,470) = 114680


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FAQs on GCF of Fractions of 913/488, 673/470

1. What is the HCF of 913,673?

The HCF of 913,673 is 1

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 913/488, 673/470?

Answer: GCF of Numerators as per given numbers 913/488, 673/470 is

GCF of Numerators i.e. for 913,673 is 1

LCM of denominators i.e. for 488,470 is 114680.

Thus, GCF of Fractions is 1/114680.Finally, GCF of Fractions for 913/488, 673/470 is 1/114680.