How to Find GCF of 5068/271, 8622/3699?

GCF of 5068/271, 8622/3699

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 5068/271, 8622/3699 i.e 2/1002429 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5068/271, 8622/3699.

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 5068/271,8622/3699?

Given fractions are 5068/271,8622/3699

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 5068/271,8622/3699, numerators are 5068,8622

Denominators are 271,3699

The GCF of 5068,8622 is 2 .

LCM of 271,3699 is 1002429.

The greatest common factor of 5068/271,8622/3699 = [GCF of 5068,8622]/[LCM of 271,3699]= 2/1002429

Therefore, the GCF of 5068/271,8622/3699 is 2/1002429.

Greatest Common Factor of 5068,8622

To find the highest common factor of 5068,8622, we have to find the factors of both numbers and list the highest common factor.

The factors of 5068 are 1, 2, 4, 7, 14, 28, 181, 362, 724, 1267, 2534, 5068

The factors of 8622 are 1, 2, 3, 6, 9, 18, 479, 958, 1437, 2874, 4311, 8622

The HCF of 5068,8622 is 2.

Lets's calculate GCF of 5068,8622

Greatest Common Factor (GCF) of 5068,8622 By Common Division

2	5068, 8622
	2534, 4311

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5068,8622 By Matching Biggest Common Factor Method

Now, list down the factors of 5068

1,2,4,7,14,28,181,362,724,1267,2534,5068

Now, list down the factors of 8622

1,2,3,6,9,18,479,958,1437,2874,4311,8622

Greatest Common Factor

We found the factors 5068,8622 . The biggest common factor number is the GCF number.
So the greatest common factor 5068,8622 is 2.

Lets's calculate LCM of 271,3699

Lowest Common Multiple of 271,3699 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1002429

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1002429

Therefore, the GCF of Fractions 5068/271,8622/3699 is 2/1002429

Least Common Multiple of 271,3699 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 271,3699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,3699) = 1

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

GCF(271,3699) x common factors =1 x 1 = 1

LCM(271,3699) = ( 271 × 3699 ) / 1

LCM(271,3699) = 1002429 / 1

LCM(271,3699) = 1002429

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5068/271, 8622/3699

1. What is the HCF of 5068,8622?

The HCF of 5068,8622 is 2

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 5068/271, 8622/3699?

Answer: GCF of Numerators as per given numbers 5068/271, 8622/3699 is

GCF of Numerators i.e. for 5068,8622 is 2

LCM of denominators i.e. for 271,3699 is 1002429.

Thus, GCF of Fractions is 2/1002429.Finally, GCF of Fractions for 5068/271, 8622/3699 is 2/1002429.