How to Find GCF of 340/385, 9903/638?

GCF of 340/385, 9903/638

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 340/385, 9903/638 i.e 1/22330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 340/385, 9903/638.

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 340/385,9903/638?

Given fractions are 340/385,9903/638

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 340/385,9903/638, numerators are 340,9903

Denominators are 385,638

The GCF of 340,9903 is 1 .

LCM of 385,638 is 22330.

The greatest common factor of 340/385,9903/638 = [GCF of 340,9903]/[LCM of 385,638]= 1/22330

Therefore, the GCF of 340/385,9903/638 is 1/22330.

Greatest Common Factor of 340,9903

To find the highest common factor of 340,9903, we have to find the factors of both numbers and list the highest common factor.

The factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

The factors of 9903 are 1, 3, 3301, 9903

The HCF of 340,9903 is 1.

Lets's calculate GCF of 340,9903

Greatest Common Factor (GCF) of 340,9903 By Common Division

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

Greatest Common Factor of 340,9903 By Matching Biggest Common Factor Method

Now, list down the factors of 340

1,2,4,5,10,17,20,34,68,85,170,340

Now, list down the factors of 9903

1,3,3301,9903

Greatest Common Factor

We found the factors 340,9903 . The biggest common factor number is the GCF number.
So the greatest common factor 340,9903 is 1.

Lets's calculate LCM of 385,638

Lowest Common Multiple of 385,638 using Common Division

11	385, 638
	35, 58

∴ So the LCM of the given numbers is 11 x 35 x 58 = 22330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22330

Therefore, the GCF of Fractions 340/385,9903/638 is 1/22330

Least Common Multiple of 385,638 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 385,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(385,638) = 11

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

GCF(385,638) x common factors =11 x 1 = 11

LCM(385,638) = ( 385 × 638 ) / 11

LCM(385,638) = 245630 / 11

LCM(385,638) = 22330

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FAQs on GCF of Fractions of 340/385, 9903/638

1. What is the HCF of 340,9903?

The HCF of 340,9903 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 340/385, 9903/638?

Answer: GCF of Numerators as per given numbers 340/385, 9903/638 is

GCF of Numerators i.e. for 340,9903 is 1

LCM of denominators i.e. for 385,638 is 22330.

Thus, GCF of Fractions is 1/22330.Finally, GCF of Fractions for 340/385, 9903/638 is 1/22330.