How to Find GCF of 1100/808, 9724/9082?

GCF of 1100/808, 9724/9082

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 1100/808, 9724/9082 i.e 44/3669128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1100/808, 9724/9082.

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 1100/808,9724/9082?

Given fractions are 1100/808,9724/9082

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 1100/808,9724/9082, numerators are 1100,9724

Denominators are 808,9082

The GCF of 1100,9724 is 44 .

LCM of 808,9082 is 3669128.

The greatest common factor of 1100/808,9724/9082 = [GCF of 1100,9724]/[LCM of 808,9082]= 44/3669128

Therefore, the GCF of 1100/808,9724/9082 is 44/3669128.

Greatest Common Factor of 1100,9724

To find the highest common factor of 1100,9724, we have to find the factors of both numbers and list the highest common factor.

The factors of 1100 are 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 220, 275, 550, 1100

The factors of 9724 are 1, 2, 4, 11, 13, 17, 22, 26, 34, 44, 52, 68, 143, 187, 221, 286, 374, 442, 572, 748, 884, 2431, 4862, 9724

The HCF of 1100,9724 is 44.

Lets's calculate GCF of 1100,9724

Greatest Common Factor (GCF) of 1100,9724 By Common Division

2	1100, 9724
2	550, 4862
11	275, 2431
	25, 221

∴ So the GCF of the given numbers is 2 x 2 x 11 = 44

Greatest Common Factor of 1100,9724 By Matching Biggest Common Factor Method

Now, list down the factors of 1100

1,2,4,5,10,11,20,22,25,44,50,55,100,110,220,275,550,1100

Now, list down the factors of 9724

1,2,4,11,13,17,22,26,34,44,52,68,143,187,221,286,374,442,572,748,884,2431,4862,9724

Greatest Common Factor

We found the factors 1100,9724 . The biggest common factor number is the GCF number.
So the greatest common factor 1100,9724 is 44.

Lets's calculate LCM of 808,9082

Lowest Common Multiple of 808,9082 using Common Division

2	808, 9082
	404, 4541

∴ So the LCM of the given numbers is 2 x 404 x 4541 = 3669128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 44/3669128

Therefore, the GCF of Fractions 1100/808,9724/9082 is 44/3669128

Least Common Multiple of 808,9082 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 808,9082 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(808,9082) = 2

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

GCF(808,9082) x common factors =2 x 1 = 2

LCM(808,9082) = ( 808 × 9082 ) / 2

LCM(808,9082) = 7338256 / 2

LCM(808,9082) = 3669128

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FAQs on GCF of Fractions of 1100/808, 9724/9082

1. What is the HCF of 1100,9724?

The HCF of 1100,9724 is 44

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 1100/808, 9724/9082?

Answer: GCF of Numerators as per given numbers 1100/808, 9724/9082 is

GCF of Numerators i.e. for 1100,9724 is 44

LCM of denominators i.e. for 808,9082 is 3669128.

Thus, GCF of Fractions is 44/3669128.Finally, GCF of Fractions for 1100/808, 9724/9082 is 44/3669128.