How to Find GCF of 2317/731, 4497/8753?

GCF of 2317/731, 4497/8753

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 2317/731, 4497/8753 i.e 1/6398443 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2317/731, 4497/8753.

Enter two or more fractions separated by "commas"

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

What is the GCF of 2317/731,4497/8753?

Given fractions are 2317/731,4497/8753

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 2317/731,4497/8753, numerators are 2317,4497

Denominators are 731,8753

The GCF of 2317,4497 is 1 .

LCM of 731,8753 is 6398443.

The greatest common factor of 2317/731,4497/8753 = [GCF of 2317,4497]/[LCM of 731,8753]= 1/6398443

Therefore, the GCF of 2317/731,4497/8753 is 1/6398443.

Greatest Common Factor of 2317,4497

To find the highest common factor of 2317,4497, we have to find the factors of both numbers and list the highest common factor.

The factors of 2317 are 1, 7, 331, 2317

The factors of 4497 are 1, 3, 1499, 4497

The HCF of 2317,4497 is 1.

Lets's calculate GCF of 2317,4497

Greatest Common Factor (GCF) of 2317,4497 By Common Division

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

Greatest Common Factor of 2317,4497 By Matching Biggest Common Factor Method

Now, list down the factors of 2317

1,7,331,2317

Now, list down the factors of 4497

1,3,1499,4497

Greatest Common Factor

We found the factors 2317,4497 . The biggest common factor number is the GCF number.
So the greatest common factor 2317,4497 is 1.

Lets's calculate LCM of 731,8753

Lowest Common Multiple of 731,8753 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6398443

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6398443

Therefore, the GCF of Fractions 2317/731,4497/8753 is 1/6398443

Least Common Multiple of 731,8753 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 731,8753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(731,8753) = 1

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

GCF(731,8753) x common factors =1 x 1 = 1

LCM(731,8753) = ( 731 × 8753 ) / 1

LCM(731,8753) = 6398443 / 1

LCM(731,8753) = 6398443

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FAQs on GCF of Fractions of 2317/731, 4497/8753

1. What is the HCF of 2317,4497?

The HCF of 2317,4497 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 2317/731, 4497/8753?

Answer: GCF of Numerators as per given numbers 2317/731, 4497/8753 is

GCF of Numerators i.e. for 2317,4497 is 1

LCM of denominators i.e. for 731,8753 is 6398443.

Thus, GCF of Fractions is 1/6398443.Finally, GCF of Fractions for 2317/731, 4497/8753 is 1/6398443.