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GCF of 805/425, 989/198

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 805/425, 989/198 i.e 23/84150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 805/425, 989/198.

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 805/425,989/198?

Given fractions are 805/425,989/198

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 805/425,989/198, numerators are 805,989

Denominators are 425,198

The GCF of 805,989 is 23 .

LCM of 425,198 is 84150.

The greatest common factor of 805/425,989/198 = [GCF of 805,989]/[LCM of 425,198]= 23/84150

Therefore, the GCF of 805/425,989/198 is 23/84150.

Greatest Common Factor of 805,989

To find the highest common factor of 805,989, we have to find the factors of both numbers and list the highest common factor.

The factors of 805 are 1, 5, 7, 23, 35, 115, 161, 805

The factors of 989 are 1, 23, 43, 989

The HCF of 805,989 is 23.

Lets's calculate GCF of 805,989

Greatest Common Factor (GCF) of 805,989 By Common Division

23 805, 989
35, 43

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 805,989 By Matching Biggest Common Factor Method

Greatest Common Factor of 805,989 By Matching Biggest Common Factor Method

Now, list down the factors of 805

:

1,5,7,23,35,115,161,805

Now, list down the factors of 989

:

1,23,43,989

Greatest Common Factor

We found the factors 805,989 . The biggest common factor number is the GCF number.
So the greatest common factor 805,989 is 23.

Lets's calculate LCM of 425,198

Lowest Common Multiple of 425,198 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 84150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/84150

Therefore, the GCF of Fractions 805/425,989/198 is 23/84150

Least Common Multiple of 425,198 with GCF Formula

Least Common Multiple of 425,198 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 425,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(425,198) = 1

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

GCF(425,198) x common factors =1 x 1 = 1

LCM(425,198) = ( 425 × 198 ) / 1

LCM(425,198) = 84150 / 1

LCM(425,198) = 84150


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FAQs on GCF of Fractions of 805/425, 989/198

1. What is the HCF of 805,989?

The HCF of 805,989 is 23

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 805/425, 989/198?

Answer: GCF of Numerators as per given numbers 805/425, 989/198 is

GCF of Numerators i.e. for 805,989 is 23

LCM of denominators i.e. for 425,198 is 84150.

Thus, GCF of Fractions is 23/84150.Finally, GCF of Fractions for 805/425, 989/198 is 23/84150.