How to Find GCF of 8158/698, 1109/7249?

GCF of 8158/698, 1109/7249

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 8158/698, 1109/7249 i.e 1/5059802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8158/698, 1109/7249.

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 8158/698,1109/7249?

Given fractions are 8158/698,1109/7249

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 8158/698,1109/7249, numerators are 8158,1109

Denominators are 698,7249

The GCF of 8158,1109 is 1 .

LCM of 698,7249 is 5059802.

The greatest common factor of 8158/698,1109/7249 = [GCF of 8158,1109]/[LCM of 698,7249]= 1/5059802

Therefore, the GCF of 8158/698,1109/7249 is 1/5059802.

Greatest Common Factor of 8158,1109

To find the highest common factor of 8158,1109, we have to find the factors of both numbers and list the highest common factor.

The factors of 8158 are 1, 2, 4079, 8158

The factors of 1109 are 1, 1109

The HCF of 8158,1109 is 1.

Lets's calculate GCF of 8158,1109

Greatest Common Factor (GCF) of 8158,1109 By Common Division

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

Greatest Common Factor of 8158,1109 By Matching Biggest Common Factor Method

Now, list down the factors of 8158

1,2,4079,8158

Now, list down the factors of 1109

1,1109

Greatest Common Factor

We found the factors 8158,1109 . The biggest common factor number is the GCF number.
So the greatest common factor 8158,1109 is 1.

Lets's calculate LCM of 698,7249

Lowest Common Multiple of 698,7249 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5059802

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5059802

Therefore, the GCF of Fractions 8158/698,1109/7249 is 1/5059802

Least Common Multiple of 698,7249 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 698,7249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,7249) = 1

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

GCF(698,7249) x common factors =1 x 1 = 1

LCM(698,7249) = ( 698 × 7249 ) / 1

LCM(698,7249) = 5059802 / 1

LCM(698,7249) = 5059802

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FAQs on GCF of Fractions of 8158/698, 1109/7249

1. What is the HCF of 8158,1109?

The HCF of 8158,1109 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 8158/698, 1109/7249?

Answer: GCF of Numerators as per given numbers 8158/698, 1109/7249 is

GCF of Numerators i.e. for 8158,1109 is 1

LCM of denominators i.e. for 698,7249 is 5059802.

Thus, GCF of Fractions is 1/5059802.Finally, GCF of Fractions for 8158/698, 1109/7249 is 1/5059802.