How to Find GCF of 8294/845, 1495/5779?

GCF of 8294/845, 1495/5779

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 8294/845, 1495/5779 i.e 13/4883255 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8294/845, 1495/5779.

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 8294/845,1495/5779?

Given fractions are 8294/845,1495/5779

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 8294/845,1495/5779, numerators are 8294,1495

Denominators are 845,5779

The GCF of 8294,1495 is 13 .

LCM of 845,5779 is 4883255.

The greatest common factor of 8294/845,1495/5779 = [GCF of 8294,1495]/[LCM of 845,5779]= 13/4883255

Therefore, the GCF of 8294/845,1495/5779 is 13/4883255.

Greatest Common Factor of 8294,1495

To find the highest common factor of 8294,1495, we have to find the factors of both numbers and list the highest common factor.

The factors of 8294 are 1, 2, 11, 13, 22, 26, 29, 58, 143, 286, 319, 377, 638, 754, 4147, 8294

The factors of 1495 are 1, 5, 13, 23, 65, 115, 299, 1495

The HCF of 8294,1495 is 13.

Lets's calculate GCF of 8294,1495

Greatest Common Factor (GCF) of 8294,1495 By Common Division

13	8294, 1495
	638, 115

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 8294,1495 By Matching Biggest Common Factor Method

Now, list down the factors of 8294

1,2,11,13,22,26,29,58,143,286,319,377,638,754,4147,8294

Now, list down the factors of 1495

1,5,13,23,65,115,299,1495

Greatest Common Factor

We found the factors 8294,1495 . The biggest common factor number is the GCF number.
So the greatest common factor 8294,1495 is 13.

Lets's calculate LCM of 845,5779

Lowest Common Multiple of 845,5779 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4883255

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/4883255

Therefore, the GCF of Fractions 8294/845,1495/5779 is 13/4883255

Least Common Multiple of 845,5779 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 845,5779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(845,5779) = 1

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

GCF(845,5779) x common factors =1 x 1 = 1

LCM(845,5779) = ( 845 × 5779 ) / 1

LCM(845,5779) = 4883255 / 1

LCM(845,5779) = 4883255

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8294/845, 1495/5779

1. What is the HCF of 8294,1495?

The HCF of 8294,1495 is 13

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 8294/845, 1495/5779?

Answer: GCF of Numerators as per given numbers 8294/845, 1495/5779 is

GCF of Numerators i.e. for 8294,1495 is 13

LCM of denominators i.e. for 845,5779 is 4883255.

Thus, GCF of Fractions is 13/4883255.Finally, GCF of Fractions for 8294/845, 1495/5779 is 13/4883255.