How to Find GCF of 9098/231, 2002/9979?

GCF of 9098/231, 2002/9979

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 9098/231, 2002/9979 i.e 2/2305149 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9098/231, 2002/9979.

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 9098/231,2002/9979?

Given fractions are 9098/231,2002/9979

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 9098/231,2002/9979, numerators are 9098,2002

Denominators are 231,9979

The GCF of 9098,2002 is 2 .

LCM of 231,9979 is 2305149.

The greatest common factor of 9098/231,2002/9979 = [GCF of 9098,2002]/[LCM of 231,9979]= 2/2305149

Therefore, the GCF of 9098/231,2002/9979 is 2/2305149.

Greatest Common Factor of 9098,2002

To find the highest common factor of 9098,2002, we have to find the factors of both numbers and list the highest common factor.

The factors of 9098 are 1, 2, 4549, 9098

The factors of 2002 are 1, 2, 7, 11, 13, 14, 22, 26, 77, 91, 143, 154, 182, 286, 1001, 2002

The HCF of 9098,2002 is 2.

Lets's calculate GCF of 9098,2002

Greatest Common Factor (GCF) of 9098,2002 By Common Division

2	9098, 2002
	4549, 1001

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

Greatest Common Factor of 9098,2002 By Matching Biggest Common Factor Method

Now, list down the factors of 9098

1,2,4549,9098

Now, list down the factors of 2002

1,2,7,11,13,14,22,26,77,91,143,154,182,286,1001,2002

Greatest Common Factor

We found the factors 9098,2002 . The biggest common factor number is the GCF number.
So the greatest common factor 9098,2002 is 2.

Lets's calculate LCM of 231,9979

Lowest Common Multiple of 231,9979 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2305149

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2305149

Therefore, the GCF of Fractions 9098/231,2002/9979 is 2/2305149

Least Common Multiple of 231,9979 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 231,9979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,9979) = 1

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

GCF(231,9979) x common factors =1 x 1 = 1

LCM(231,9979) = ( 231 × 9979 ) / 1

LCM(231,9979) = 2305149 / 1

LCM(231,9979) = 2305149

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FAQs on GCF of Fractions of 9098/231, 2002/9979

1. What is the HCF of 9098,2002?

The HCF of 9098,2002 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 9098/231, 2002/9979?

Answer: GCF of Numerators as per given numbers 9098/231, 2002/9979 is

GCF of Numerators i.e. for 9098,2002 is 2

LCM of denominators i.e. for 231,9979 is 2305149.

Thus, GCF of Fractions is 2/2305149.Finally, GCF of Fractions for 9098/231, 2002/9979 is 2/2305149.