How to Find GCF of 9873/469, 3119/381?

GCF of 9873/469, 3119/381

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 9873/469, 3119/381 i.e 1/178689 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9873/469, 3119/381.

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 9873/469,3119/381?

Given fractions are 9873/469,3119/381

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 9873/469,3119/381, numerators are 9873,3119

Denominators are 469,381

The GCF of 9873,3119 is 1 .

LCM of 469,381 is 178689.

The greatest common factor of 9873/469,3119/381 = [GCF of 9873,3119]/[LCM of 469,381]= 1/178689

Therefore, the GCF of 9873/469,3119/381 is 1/178689.

Greatest Common Factor of 9873,3119

To find the highest common factor of 9873,3119, we have to find the factors of both numbers and list the highest common factor.

The factors of 9873 are 1, 3, 9, 1097, 3291, 9873

The factors of 3119 are 1, 3119

The HCF of 9873,3119 is 1.

Lets's calculate GCF of 9873,3119

Greatest Common Factor (GCF) of 9873,3119 By Common Division

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

Greatest Common Factor of 9873,3119 By Matching Biggest Common Factor Method

Now, list down the factors of 9873

1,3,9,1097,3291,9873

Now, list down the factors of 3119

1,3119

Greatest Common Factor

We found the factors 9873,3119 . The biggest common factor number is the GCF number.
So the greatest common factor 9873,3119 is 1.

Lets's calculate LCM of 469,381

Lowest Common Multiple of 469,381 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 178689

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/178689

Therefore, the GCF of Fractions 9873/469,3119/381 is 1/178689

Least Common Multiple of 469,381 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 469,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,381) = 1

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

GCF(469,381) x common factors =1 x 1 = 1

LCM(469,381) = ( 469 × 381 ) / 1

LCM(469,381) = 178689 / 1

LCM(469,381) = 178689

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FAQs on GCF of Fractions of 9873/469, 3119/381

1. What is the HCF of 9873,3119?

The HCF of 9873,3119 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 9873/469, 3119/381?

Answer: GCF of Numerators as per given numbers 9873/469, 3119/381 is

GCF of Numerators i.e. for 9873,3119 is 1

LCM of denominators i.e. for 469,381 is 178689.

Thus, GCF of Fractions is 1/178689.Finally, GCF of Fractions for 9873/469, 3119/381 is 1/178689.