How to Find GCF of 9988/197, 1661/4927?

GCF of 9988/197, 1661/4927

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 9988/197, 1661/4927 i.e 11/970619 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9988/197, 1661/4927.

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 9988/197,1661/4927?

Given fractions are 9988/197,1661/4927

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 9988/197,1661/4927, numerators are 9988,1661

Denominators are 197,4927

The GCF of 9988,1661 is 11 .

LCM of 197,4927 is 970619.

The greatest common factor of 9988/197,1661/4927 = [GCF of 9988,1661]/[LCM of 197,4927]= 11/970619

Therefore, the GCF of 9988/197,1661/4927 is 11/970619.

Greatest Common Factor of 9988,1661

To find the highest common factor of 9988,1661, we have to find the factors of both numbers and list the highest common factor.

The factors of 9988 are 1, 2, 4, 11, 22, 44, 227, 454, 908, 2497, 4994, 9988

The factors of 1661 are 1, 11, 151, 1661

The HCF of 9988,1661 is 11.

Lets's calculate GCF of 9988,1661

Greatest Common Factor (GCF) of 9988,1661 By Common Division

11	9988, 1661
	908, 151

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 9988,1661 By Matching Biggest Common Factor Method

Now, list down the factors of 9988

1,2,4,11,22,44,227,454,908,2497,4994,9988

Now, list down the factors of 1661

1,11,151,1661

Greatest Common Factor

We found the factors 9988,1661 . The biggest common factor number is the GCF number.
So the greatest common factor 9988,1661 is 11.

Lets's calculate LCM of 197,4927

Lowest Common Multiple of 197,4927 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 970619

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/970619

Therefore, the GCF of Fractions 9988/197,1661/4927 is 11/970619

Least Common Multiple of 197,4927 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 197,4927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(197,4927) = 1

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

GCF(197,4927) x common factors =1 x 1 = 1

LCM(197,4927) = ( 197 × 4927 ) / 1

LCM(197,4927) = 970619 / 1

LCM(197,4927) = 970619

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9988/197, 1661/4927

1. What is the HCF of 9988,1661?

The HCF of 9988,1661 is 11

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 9988/197, 1661/4927?

Answer: GCF of Numerators as per given numbers 9988/197, 1661/4927 is

GCF of Numerators i.e. for 9988,1661 is 11

LCM of denominators i.e. for 197,4927 is 970619.

Thus, GCF of Fractions is 11/970619.Finally, GCF of Fractions for 9988/197, 1661/4927 is 11/970619.