How to Find GCF of 9828/844, 4643/2272?

GCF of 9828/844, 4643/2272

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 9828/844, 4643/2272 i.e 1/479392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9828/844, 4643/2272.

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 9828/844,4643/2272?

Given fractions are 9828/844,4643/2272

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 9828/844,4643/2272, numerators are 9828,4643

Denominators are 844,2272

The GCF of 9828,4643 is 1 .

LCM of 844,2272 is 479392.

The greatest common factor of 9828/844,4643/2272 = [GCF of 9828,4643]/[LCM of 844,2272]= 1/479392

Therefore, the GCF of 9828/844,4643/2272 is 1/479392.

Greatest Common Factor of 9828,4643

To find the highest common factor of 9828,4643, we have to find the factors of both numbers and list the highest common factor.

The factors of 9828 are 1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 27, 28, 36, 39, 42, 52, 54, 63, 78, 84, 91, 108, 117, 126, 156, 182, 189, 234, 252, 273, 351, 364, 378, 468, 546, 702, 756, 819, 1092, 1404, 1638, 2457, 3276, 4914, 9828

The factors of 4643 are 1, 4643

The HCF of 9828,4643 is 1.

Lets's calculate GCF of 9828,4643

Greatest Common Factor (GCF) of 9828,4643 By Common Division

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

Greatest Common Factor of 9828,4643 By Matching Biggest Common Factor Method

Now, list down the factors of 9828

1,2,3,4,6,7,9,12,13,14,18,21,26,27,28,36,39,42,52,54,63,78,84,91,108,117,126,156,182,189,234,252,273,351,364,378,468,546,702,756,819,1092,1404,1638,2457,3276,4914,9828

Now, list down the factors of 4643

1,4643

Greatest Common Factor

We found the factors 9828,4643 . The biggest common factor number is the GCF number.
So the greatest common factor 9828,4643 is 1.

Lets's calculate LCM of 844,2272

Lowest Common Multiple of 844,2272 using Common Division

2	844, 2272
2	422, 1136
	211, 568

∴ So the LCM of the given numbers is 2 x 2 x 211 x 568 = 479392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/479392

Therefore, the GCF of Fractions 9828/844,4643/2272 is 1/479392

Least Common Multiple of 844,2272 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 844,2272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(844,2272) = 4

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

GCF(844,2272) x common factors =4 x 1 = 4

LCM(844,2272) = ( 844 × 2272 ) / 4

LCM(844,2272) = 1917568 / 4

LCM(844,2272) = 479392

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9828/844, 4643/2272

1. What is the HCF of 9828,4643?

The HCF of 9828,4643 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 9828/844, 4643/2272?

Answer: GCF of Numerators as per given numbers 9828/844, 4643/2272 is

GCF of Numerators i.e. for 9828,4643 is 1

LCM of denominators i.e. for 844,2272 is 479392.

Thus, GCF of Fractions is 1/479392.Finally, GCF of Fractions for 9828/844, 4643/2272 is 1/479392.