How to Find GCF of 8869/849, 4859/9199?

GCF of 8869/849, 4859/9199

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 8869/849, 4859/9199 i.e 1/7809951 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8869/849, 4859/9199.

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 8869/849,4859/9199?

Given fractions are 8869/849,4859/9199

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 8869/849,4859/9199, numerators are 8869,4859

Denominators are 849,9199

The GCF of 8869,4859 is 1 .

LCM of 849,9199 is 7809951.

The greatest common factor of 8869/849,4859/9199 = [GCF of 8869,4859]/[LCM of 849,9199]= 1/7809951

Therefore, the GCF of 8869/849,4859/9199 is 1/7809951.

Greatest Common Factor of 8869,4859

To find the highest common factor of 8869,4859, we have to find the factors of both numbers and list the highest common factor.

The factors of 8869 are 1, 7, 49, 181, 1267, 8869

The factors of 4859 are 1, 43, 113, 4859

The HCF of 8869,4859 is 1.

Lets's calculate GCF of 8869,4859

Greatest Common Factor (GCF) of 8869,4859 By Common Division

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

Greatest Common Factor of 8869,4859 By Matching Biggest Common Factor Method

Now, list down the factors of 8869

1,7,49,181,1267,8869

Now, list down the factors of 4859

1,43,113,4859

Greatest Common Factor

We found the factors 8869,4859 . The biggest common factor number is the GCF number.
So the greatest common factor 8869,4859 is 1.

Lets's calculate LCM of 849,9199

Lowest Common Multiple of 849,9199 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7809951

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7809951

Therefore, the GCF of Fractions 8869/849,4859/9199 is 1/7809951

Least Common Multiple of 849,9199 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 849,9199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,9199) = 1

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

GCF(849,9199) x common factors =1 x 1 = 1

LCM(849,9199) = ( 849 × 9199 ) / 1

LCM(849,9199) = 7809951 / 1

LCM(849,9199) = 7809951

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FAQs on GCF of Fractions of 8869/849, 4859/9199

1. What is the HCF of 8869,4859?

The HCF of 8869,4859 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 8869/849, 4859/9199?

Answer: GCF of Numerators as per given numbers 8869/849, 4859/9199 is

GCF of Numerators i.e. for 8869,4859 is 1

LCM of denominators i.e. for 849,9199 is 7809951.

Thus, GCF of Fractions is 1/7809951.Finally, GCF of Fractions for 8869/849, 4859/9199 is 1/7809951.