How to Find GCF of 3842/819, 3491/1690?

GCF of 3842/819, 3491/1690

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 3842/819, 3491/1690 i.e 1/106470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3842/819, 3491/1690.

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 3842/819,3491/1690?

Given fractions are 3842/819,3491/1690

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 3842/819,3491/1690, numerators are 3842,3491

Denominators are 819,1690

The GCF of 3842,3491 is 1 .

LCM of 819,1690 is 106470.

The greatest common factor of 3842/819,3491/1690 = [GCF of 3842,3491]/[LCM of 819,1690]= 1/106470

Therefore, the GCF of 3842/819,3491/1690 is 1/106470.

Greatest Common Factor of 3842,3491

To find the highest common factor of 3842,3491, we have to find the factors of both numbers and list the highest common factor.

The factors of 3842 are 1, 2, 17, 34, 113, 226, 1921, 3842

The factors of 3491 are 1, 3491

The HCF of 3842,3491 is 1.

Lets's calculate GCF of 3842,3491

Greatest Common Factor (GCF) of 3842,3491 By Common Division

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

Greatest Common Factor of 3842,3491 By Matching Biggest Common Factor Method

Now, list down the factors of 3842

1,2,17,34,113,226,1921,3842

Now, list down the factors of 3491

1,3491

Greatest Common Factor

We found the factors 3842,3491 . The biggest common factor number is the GCF number.
So the greatest common factor 3842,3491 is 1.

Lets's calculate LCM of 819,1690

Lowest Common Multiple of 819,1690 using Common Division

13	819, 1690
	63, 130

∴ So the LCM of the given numbers is 13 x 63 x 130 = 106470

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106470

Therefore, the GCF of Fractions 3842/819,3491/1690 is 1/106470

Least Common Multiple of 819,1690 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 819,1690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(819,1690) = 13

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

GCF(819,1690) x common factors =13 x 1 = 13

LCM(819,1690) = ( 819 × 1690 ) / 13

LCM(819,1690) = 1384110 / 13

LCM(819,1690) = 106470

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3842/819, 3491/1690

1. What is the HCF of 3842,3491?

The HCF of 3842,3491 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 3842/819, 3491/1690?

Answer: GCF of Numerators as per given numbers 3842/819, 3491/1690 is

GCF of Numerators i.e. for 3842,3491 is 1

LCM of denominators i.e. for 819,1690 is 106470.

Thus, GCF of Fractions is 1/106470.Finally, GCF of Fractions for 3842/819, 3491/1690 is 1/106470.