How to Find GCF of 8558/799, 5110/9491?

GCF of 8558/799, 5110/9491

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 8558/799, 5110/9491 i.e 2/7583309 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8558/799, 5110/9491.

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 8558/799,5110/9491?

Given fractions are 8558/799,5110/9491

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 8558/799,5110/9491, numerators are 8558,5110

Denominators are 799,9491

The GCF of 8558,5110 is 2 .

LCM of 799,9491 is 7583309.

The greatest common factor of 8558/799,5110/9491 = [GCF of 8558,5110]/[LCM of 799,9491]= 2/7583309

Therefore, the GCF of 8558/799,5110/9491 is 2/7583309.

Greatest Common Factor of 8558,5110

To find the highest common factor of 8558,5110, we have to find the factors of both numbers and list the highest common factor.

The factors of 8558 are 1, 2, 11, 22, 389, 778, 4279, 8558

The factors of 5110 are 1, 2, 5, 7, 10, 14, 35, 70, 73, 146, 365, 511, 730, 1022, 2555, 5110

The HCF of 8558,5110 is 2.

Lets's calculate GCF of 8558,5110

Greatest Common Factor (GCF) of 8558,5110 By Common Division

2	8558, 5110
	4279, 2555

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

Greatest Common Factor of 8558,5110 By Matching Biggest Common Factor Method

Now, list down the factors of 8558

1,2,11,22,389,778,4279,8558

Now, list down the factors of 5110

1,2,5,7,10,14,35,70,73,146,365,511,730,1022,2555,5110

Greatest Common Factor

We found the factors 8558,5110 . The biggest common factor number is the GCF number.
So the greatest common factor 8558,5110 is 2.

Lets's calculate LCM of 799,9491

Lowest Common Multiple of 799,9491 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7583309

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7583309

Therefore, the GCF of Fractions 8558/799,5110/9491 is 2/7583309

Least Common Multiple of 799,9491 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 799,9491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(799,9491) = 1

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

GCF(799,9491) x common factors =1 x 1 = 1

LCM(799,9491) = ( 799 × 9491 ) / 1

LCM(799,9491) = 7583309 / 1

LCM(799,9491) = 7583309

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8558/799, 5110/9491

1. What is the HCF of 8558,5110?

The HCF of 8558,5110 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 8558/799, 5110/9491?

Answer: GCF of Numerators as per given numbers 8558/799, 5110/9491 is

GCF of Numerators i.e. for 8558,5110 is 2

LCM of denominators i.e. for 799,9491 is 7583309.

Thus, GCF of Fractions is 2/7583309.Finally, GCF of Fractions for 8558/799, 5110/9491 is 2/7583309.