How to Find GCF of 9024/488, 9043/8284?

GCF of 9024/488, 9043/8284

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 9024/488, 9043/8284 i.e 1/1010648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9024/488, 9043/8284.

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 9024/488,9043/8284?

Given fractions are 9024/488,9043/8284

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 9024/488,9043/8284, numerators are 9024,9043

Denominators are 488,8284

The GCF of 9024,9043 is 1 .

LCM of 488,8284 is 1010648.

The greatest common factor of 9024/488,9043/8284 = [GCF of 9024,9043]/[LCM of 488,8284]= 1/1010648

Therefore, the GCF of 9024/488,9043/8284 is 1/1010648.

Greatest Common Factor of 9024,9043

To find the highest common factor of 9024,9043, we have to find the factors of both numbers and list the highest common factor.

The factors of 9024 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 64, 94, 96, 141, 188, 192, 282, 376, 564, 752, 1128, 1504, 2256, 3008, 4512, 9024

The factors of 9043 are 1, 9043

The HCF of 9024,9043 is 1.

Lets's calculate GCF of 9024,9043

Greatest Common Factor (GCF) of 9024,9043 By Common Division

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

Greatest Common Factor of 9024,9043 By Matching Biggest Common Factor Method

Now, list down the factors of 9024

1,2,3,4,6,8,12,16,24,32,47,48,64,94,96,141,188,192,282,376,564,752,1128,1504,2256,3008,4512,9024

Now, list down the factors of 9043

1,9043

Greatest Common Factor

We found the factors 9024,9043 . The biggest common factor number is the GCF number.
So the greatest common factor 9024,9043 is 1.

Lets's calculate LCM of 488,8284

Lowest Common Multiple of 488,8284 using Common Division

2	488, 8284
2	244, 4142
	122, 2071

∴ So the LCM of the given numbers is 2 x 2 x 122 x 2071 = 1010648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1010648

Therefore, the GCF of Fractions 9024/488,9043/8284 is 1/1010648

Least Common Multiple of 488,8284 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 488,8284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,8284) = 4

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

GCF(488,8284) x common factors =4 x 1 = 4

LCM(488,8284) = ( 488 × 8284 ) / 4

LCM(488,8284) = 4042592 / 4

LCM(488,8284) = 1010648

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9024/488, 9043/8284

1. What is the HCF of 9024,9043?

The HCF of 9024,9043 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 9024/488, 9043/8284?

Answer: GCF of Numerators as per given numbers 9024/488, 9043/8284 is

GCF of Numerators i.e. for 9024,9043 is 1

LCM of denominators i.e. for 488,8284 is 1010648.

Thus, GCF of Fractions is 1/1010648.Finally, GCF of Fractions for 9024/488, 9043/8284 is 1/1010648.