How to Find GCF of 9806/242, 5141/1877?

GCF of 9806/242, 5141/1877

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 9806/242, 5141/1877 i.e 1/454234 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9806/242, 5141/1877.

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 9806/242,5141/1877?

Given fractions are 9806/242,5141/1877

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 9806/242,5141/1877, numerators are 9806,5141

Denominators are 242,1877

The GCF of 9806,5141 is 1 .

LCM of 242,1877 is 454234.

The greatest common factor of 9806/242,5141/1877 = [GCF of 9806,5141]/[LCM of 242,1877]= 1/454234

Therefore, the GCF of 9806/242,5141/1877 is 1/454234.

Greatest Common Factor of 9806,5141

To find the highest common factor of 9806,5141, we have to find the factors of both numbers and list the highest common factor.

The factors of 9806 are 1, 2, 4903, 9806

The factors of 5141 are 1, 53, 97, 5141

The HCF of 9806,5141 is 1.

Lets's calculate GCF of 9806,5141

Greatest Common Factor (GCF) of 9806,5141 By Common Division

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

Greatest Common Factor of 9806,5141 By Matching Biggest Common Factor Method

Now, list down the factors of 9806

1,2,4903,9806

Now, list down the factors of 5141

1,53,97,5141

Greatest Common Factor

We found the factors 9806,5141 . The biggest common factor number is the GCF number.
So the greatest common factor 9806,5141 is 1.

Lets's calculate LCM of 242,1877

Lowest Common Multiple of 242,1877 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 454234

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/454234

Therefore, the GCF of Fractions 9806/242,5141/1877 is 1/454234

Least Common Multiple of 242,1877 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 242,1877 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,1877) = 1

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

GCF(242,1877) x common factors =1 x 1 = 1

LCM(242,1877) = ( 242 × 1877 ) / 1

LCM(242,1877) = 454234 / 1

LCM(242,1877) = 454234

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FAQs on GCF of Fractions of 9806/242, 5141/1877

1. What is the HCF of 9806,5141?

The HCF of 9806,5141 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 9806/242, 5141/1877?

Answer: GCF of Numerators as per given numbers 9806/242, 5141/1877 is

GCF of Numerators i.e. for 9806,5141 is 1

LCM of denominators i.e. for 242,1877 is 454234.

Thus, GCF of Fractions is 1/454234.Finally, GCF of Fractions for 9806/242, 5141/1877 is 1/454234.