How to Find GCF of 9434/806, 6845/7943?

GCF of 9434/806, 6845/7943

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 9434/806, 6845/7943 i.e 1/492466 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9434/806, 6845/7943.

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 9434/806,6845/7943?

Given fractions are 9434/806,6845/7943

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 9434/806,6845/7943, numerators are 9434,6845

Denominators are 806,7943

The GCF of 9434,6845 is 1 .

LCM of 806,7943 is 492466.

The greatest common factor of 9434/806,6845/7943 = [GCF of 9434,6845]/[LCM of 806,7943]= 1/492466

Therefore, the GCF of 9434/806,6845/7943 is 1/492466.

Greatest Common Factor of 9434,6845

To find the highest common factor of 9434,6845, we have to find the factors of both numbers and list the highest common factor.

The factors of 9434 are 1, 2, 53, 89, 106, 178, 4717, 9434

The factors of 6845 are 1, 5, 37, 185, 1369, 6845

The HCF of 9434,6845 is 1.

Lets's calculate GCF of 9434,6845

Greatest Common Factor (GCF) of 9434,6845 By Common Division

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

Greatest Common Factor of 9434,6845 By Matching Biggest Common Factor Method

Now, list down the factors of 9434

1,2,53,89,106,178,4717,9434

Now, list down the factors of 6845

1,5,37,185,1369,6845

Greatest Common Factor

We found the factors 9434,6845 . The biggest common factor number is the GCF number.
So the greatest common factor 9434,6845 is 1.

Lets's calculate LCM of 806,7943

Lowest Common Multiple of 806,7943 using Common Division

13	806, 7943
	62, 611

∴ So the LCM of the given numbers is 13 x 62 x 611 = 492466

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/492466

Therefore, the GCF of Fractions 9434/806,6845/7943 is 1/492466

Least Common Multiple of 806,7943 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 806,7943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(806,7943) = 13

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

GCF(806,7943) x common factors =13 x 1 = 13

LCM(806,7943) = ( 806 × 7943 ) / 13

LCM(806,7943) = 6402058 / 13

LCM(806,7943) = 492466

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9434/806, 6845/7943

1. What is the HCF of 9434,6845?

The HCF of 9434,6845 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 9434/806, 6845/7943?

Answer: GCF of Numerators as per given numbers 9434/806, 6845/7943 is

GCF of Numerators i.e. for 9434,6845 is 1

LCM of denominators i.e. for 806,7943 is 492466.

Thus, GCF of Fractions is 1/492466.Finally, GCF of Fractions for 9434/806, 6845/7943 is 1/492466.