How to Find GCF of 8743/827, 7134/3296?

GCF of 8743/827, 7134/3296

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 8743/827, 7134/3296 i.e 1/2725792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8743/827, 7134/3296.

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 8743/827,7134/3296?

Given fractions are 8743/827,7134/3296

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 8743/827,7134/3296, numerators are 8743,7134

Denominators are 827,3296

The GCF of 8743,7134 is 1 .

LCM of 827,3296 is 2725792.

The greatest common factor of 8743/827,7134/3296 = [GCF of 8743,7134]/[LCM of 827,3296]= 1/2725792

Therefore, the GCF of 8743/827,7134/3296 is 1/2725792.

Greatest Common Factor of 8743,7134

To find the highest common factor of 8743,7134, we have to find the factors of both numbers and list the highest common factor.

The factors of 8743 are 1, 7, 1249, 8743

The factors of 7134 are 1, 2, 3, 6, 29, 41, 58, 82, 87, 123, 174, 246, 1189, 2378, 3567, 7134

The HCF of 8743,7134 is 1.

Lets's calculate GCF of 8743,7134

Greatest Common Factor (GCF) of 8743,7134 By Common Division

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

Greatest Common Factor of 8743,7134 By Matching Biggest Common Factor Method

Now, list down the factors of 8743

1,7,1249,8743

Now, list down the factors of 7134

1,2,3,6,29,41,58,82,87,123,174,246,1189,2378,3567,7134

Greatest Common Factor

We found the factors 8743,7134 . The biggest common factor number is the GCF number.
So the greatest common factor 8743,7134 is 1.

Lets's calculate LCM of 827,3296

Lowest Common Multiple of 827,3296 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2725792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2725792

Therefore, the GCF of Fractions 8743/827,7134/3296 is 1/2725792

Least Common Multiple of 827,3296 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 827,3296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,3296) = 1

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

GCF(827,3296) x common factors =1 x 1 = 1

LCM(827,3296) = ( 827 × 3296 ) / 1

LCM(827,3296) = 2725792 / 1

LCM(827,3296) = 2725792

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FAQs on GCF of Fractions of 8743/827, 7134/3296

1. What is the HCF of 8743,7134?

The HCF of 8743,7134 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 8743/827, 7134/3296?

Answer: GCF of Numerators as per given numbers 8743/827, 7134/3296 is

GCF of Numerators i.e. for 8743,7134 is 1

LCM of denominators i.e. for 827,3296 is 2725792.

Thus, GCF of Fractions is 1/2725792.Finally, GCF of Fractions for 8743/827, 7134/3296 is 1/2725792.