How to Find GCF of 998/866, 105/889?

GCF of 998/866, 105/889

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 998/866, 105/889 i.e 1/769874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 998/866, 105/889.

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 998/866,105/889?

Given fractions are 998/866,105/889

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 998/866,105/889, numerators are 998,105

Denominators are 866,889

The GCF of 998,105 is 1 .

LCM of 866,889 is 769874.

The greatest common factor of 998/866,105/889 = [GCF of 998,105]/[LCM of 866,889]= 1/769874

Therefore, the GCF of 998/866,105/889 is 1/769874.

Greatest Common Factor of 998,105

To find the highest common factor of 998,105, we have to find the factors of both numbers and list the highest common factor.

The factors of 998 are 1, 2, 499, 998

The factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105

The HCF of 998,105 is 1.

Lets's calculate GCF of 998,105

Greatest Common Factor (GCF) of 998,105 By Common Division

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

Greatest Common Factor of 998,105 By Matching Biggest Common Factor Method

Now, list down the factors of 998

1,2,499,998

Now, list down the factors of 105

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 998,105 . The biggest common factor number is the GCF number.
So the greatest common factor 998,105 is 1.

Lets's calculate LCM of 866,889

Lowest Common Multiple of 866,889 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 769874

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/769874

Therefore, the GCF of Fractions 998/866,105/889 is 1/769874

Least Common Multiple of 866,889 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 866,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(866,889) = 1

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

GCF(866,889) x common factors =1 x 1 = 1

LCM(866,889) = ( 866 × 889 ) / 1

LCM(866,889) = 769874 / 1

LCM(866,889) = 769874

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FAQs on GCF of Fractions of 998/866, 105/889

1. What is the HCF of 998,105?

The HCF of 998,105 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 998/866, 105/889?

Answer: GCF of Numerators as per given numbers 998/866, 105/889 is

GCF of Numerators i.e. for 998,105 is 1

LCM of denominators i.e. for 866,889 is 769874.

Thus, GCF of Fractions is 1/769874.Finally, GCF of Fractions for 998/866, 105/889 is 1/769874.