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GCF of 5116/434, 8644/2247

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 5116/434, 8644/2247 i.e 4/139314 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5116/434, 8644/2247.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 5116/434,8644/2247?

Given fractions are 5116/434,8644/2247

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 5116/434,8644/2247, numerators are 5116,8644

Denominators are 434,2247

The GCF of 5116,8644 is 4 .

LCM of 434,2247 is 139314.

The greatest common factor of 5116/434,8644/2247 = [GCF of 5116,8644]/[LCM of 434,2247]= 4/139314

Therefore, the GCF of 5116/434,8644/2247 is 4/139314.

Greatest Common Factor of 5116,8644

To find the highest common factor of 5116,8644, we have to find the factors of both numbers and list the highest common factor.

The factors of 5116 are 1, 2, 4, 1279, 2558, 5116

The factors of 8644 are 1, 2, 4, 2161, 4322, 8644

The HCF of 5116,8644 is 4.

Lets's calculate GCF of 5116,8644

Greatest Common Factor (GCF) of 5116,8644 By Common Division

2 5116, 8644
2 2558, 4322
1279, 2161

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5116,8644 By Matching Biggest Common Factor Method

Greatest Common Factor of 5116,8644 By Matching Biggest Common Factor Method

Now, list down the factors of 5116

:

1,2,4,1279,2558,5116

Now, list down the factors of 8644

:

1,2,4,2161,4322,8644

Greatest Common Factor

We found the factors 5116,8644 . The biggest common factor number is the GCF number.
So the greatest common factor 5116,8644 is 4.


Lets's calculate LCM of 434,2247

Lowest Common Multiple of 434,2247 using Common Division

7 434, 2247
62, 321

∴ So the LCM of the given numbers is 7 x 62 x 321 = 139314

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/139314

Therefore, the GCF of Fractions 5116/434,8644/2247 is 4/139314

Least Common Multiple of 434,2247 with GCF Formula

Least Common Multiple of 434,2247 with GCF Formula

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

We need to calculate greatest common factor of 434,2247 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(434,2247) = 7

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

GCF(434,2247) x common factors =7 x 1 = 7

LCM(434,2247) = ( 434 × 2247 ) / 7

LCM(434,2247) = 975198 / 7

LCM(434,2247) = 139314


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 5116/434, 8644/2247

1. What is the HCF of 5116,8644?

The HCF of 5116,8644 is 4

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 5116/434, 8644/2247?

Answer: GCF of Numerators as per given numbers 5116/434, 8644/2247 is

GCF of Numerators i.e. for 5116,8644 is 4

LCM of denominators i.e. for 434,2247 is 139314.

Thus, GCF of Fractions is 4/139314.Finally, GCF of Fractions for 5116/434, 8644/2247 is 4/139314.