How to Find GCF of 8293/314, 8029/8327?

GCF of 8293/314, 8029/8327

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 8293/314, 8029/8327 i.e 1/2614678 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8293/314, 8029/8327.

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 8293/314,8029/8327?

Given fractions are 8293/314,8029/8327

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 8293/314,8029/8327, numerators are 8293,8029

Denominators are 314,8327

The GCF of 8293,8029 is 1 .

LCM of 314,8327 is 2614678.

The greatest common factor of 8293/314,8029/8327 = [GCF of 8293,8029]/[LCM of 314,8327]= 1/2614678

Therefore, the GCF of 8293/314,8029/8327 is 1/2614678.

Greatest Common Factor of 8293,8029

To find the highest common factor of 8293,8029, we have to find the factors of both numbers and list the highest common factor.

The factors of 8293 are 1, 8293

The factors of 8029 are 1, 7, 31, 37, 217, 259, 1147, 8029

The HCF of 8293,8029 is 1.

Lets's calculate GCF of 8293,8029

Greatest Common Factor (GCF) of 8293,8029 By Common Division

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

Greatest Common Factor of 8293,8029 By Matching Biggest Common Factor Method

Now, list down the factors of 8293

1,8293

Now, list down the factors of 8029

1,7,31,37,217,259,1147,8029

Greatest Common Factor

We found the factors 8293,8029 . The biggest common factor number is the GCF number.
So the greatest common factor 8293,8029 is 1.

Lets's calculate LCM of 314,8327

Lowest Common Multiple of 314,8327 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2614678

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2614678

Therefore, the GCF of Fractions 8293/314,8029/8327 is 1/2614678

Least Common Multiple of 314,8327 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 314,8327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,8327) = 1

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

GCF(314,8327) x common factors =1 x 1 = 1

LCM(314,8327) = ( 314 × 8327 ) / 1

LCM(314,8327) = 2614678 / 1

LCM(314,8327) = 2614678

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FAQs on GCF of Fractions of 8293/314, 8029/8327

1. What is the HCF of 8293,8029?

The HCF of 8293,8029 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 8293/314, 8029/8327?

Answer: GCF of Numerators as per given numbers 8293/314, 8029/8327 is

GCF of Numerators i.e. for 8293,8029 is 1

LCM of denominators i.e. for 314,8327 is 2614678.

Thus, GCF of Fractions is 1/2614678.Finally, GCF of Fractions for 8293/314, 8029/8327 is 1/2614678.