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GCF of 1769/884, 3659/9106

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 1769/884, 3659/9106 i.e 1/4024852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1769/884, 3659/9106.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 1769/884,3659/9106?

Given fractions are 1769/884,3659/9106

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 1769/884,3659/9106, numerators are 1769,3659

Denominators are 884,9106

The GCF of 1769,3659 is 1 .

LCM of 884,9106 is 4024852.

The greatest common factor of 1769/884,3659/9106 = [GCF of 1769,3659]/[LCM of 884,9106]= 1/4024852

Therefore, the GCF of 1769/884,3659/9106 is 1/4024852.

Greatest Common Factor of 1769,3659

To find the highest common factor of 1769,3659, we have to find the factors of both numbers and list the highest common factor.

The factors of 1769 are 1, 29, 61, 1769

The factors of 3659 are 1, 3659

The HCF of 1769,3659 is 1.

Lets's calculate GCF of 1769,3659

Greatest Common Factor (GCF) of 1769,3659 By Common Division

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

Greatest Common Factor of 1769,3659 By Matching Biggest Common Factor Method

Greatest Common Factor of 1769,3659 By Matching Biggest Common Factor Method

Now, list down the factors of 1769

:

1,29,61,1769

Now, list down the factors of 3659

:

1,3659

Greatest Common Factor

We found the factors 1769,3659 . The biggest common factor number is the GCF number.
So the greatest common factor 1769,3659 is 1.


Lets's calculate LCM of 884,9106

Lowest Common Multiple of 884,9106 using Common Division

2 884, 9106
442, 4553

∴ So the LCM of the given numbers is 2 x 442 x 4553 = 4024852

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4024852

Therefore, the GCF of Fractions 1769/884,3659/9106 is 1/4024852

Least Common Multiple of 884,9106 with GCF Formula

Least Common Multiple of 884,9106 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 884,9106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(884,9106) = 2

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

GCF(884,9106) x common factors =2 x 1 = 2

LCM(884,9106) = ( 884 × 9106 ) / 2

LCM(884,9106) = 8049704 / 2

LCM(884,9106) = 4024852


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 1769/884, 3659/9106

1. What is the HCF of 1769,3659?

The HCF of 1769,3659 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 1769/884, 3659/9106?

Answer: GCF of Numerators as per given numbers 1769/884, 3659/9106 is

GCF of Numerators i.e. for 1769,3659 is 1

LCM of denominators i.e. for 884,9106 is 4024852.

Thus, GCF of Fractions is 1/4024852.Finally, GCF of Fractions for 1769/884, 3659/9106 is 1/4024852.