How to Find GCF of 4783/512, 9803/7364?

GCF of 4783/512, 9803/7364

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 4783/512, 9803/7364 i.e 1/942592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4783/512, 9803/7364.

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 4783/512,9803/7364?

Given fractions are 4783/512,9803/7364

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 4783/512,9803/7364, numerators are 4783,9803

Denominators are 512,7364

The GCF of 4783,9803 is 1 .

LCM of 512,7364 is 942592.

The greatest common factor of 4783/512,9803/7364 = [GCF of 4783,9803]/[LCM of 512,7364]= 1/942592

Therefore, the GCF of 4783/512,9803/7364 is 1/942592.

Greatest Common Factor of 4783,9803

To find the highest common factor of 4783,9803, we have to find the factors of both numbers and list the highest common factor.

The factors of 4783 are 1, 4783

The factors of 9803 are 1, 9803

The HCF of 4783,9803 is 1.

Lets's calculate GCF of 4783,9803

Greatest Common Factor (GCF) of 4783,9803 By Common Division

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

Greatest Common Factor of 4783,9803 By Matching Biggest Common Factor Method

Now, list down the factors of 4783

1,4783

Now, list down the factors of 9803

1,9803

Greatest Common Factor

We found the factors 4783,9803 . The biggest common factor number is the GCF number.
So the greatest common factor 4783,9803 is 1.

Lets's calculate LCM of 512,7364

Lowest Common Multiple of 512,7364 using Common Division

2	512, 7364
2	256, 3682
	128, 1841

∴ So the LCM of the given numbers is 2 x 2 x 128 x 1841 = 942592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/942592

Therefore, the GCF of Fractions 4783/512,9803/7364 is 1/942592

Least Common Multiple of 512,7364 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 512,7364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,7364) = 4

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

GCF(512,7364) x common factors =4 x 1 = 4

LCM(512,7364) = ( 512 × 7364 ) / 4

LCM(512,7364) = 3770368 / 4

LCM(512,7364) = 942592

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FAQs on GCF of Fractions of 4783/512, 9803/7364

1. What is the HCF of 4783,9803?

The HCF of 4783,9803 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 4783/512, 9803/7364?

Answer: GCF of Numerators as per given numbers 4783/512, 9803/7364 is

GCF of Numerators i.e. for 4783,9803 is 1

LCM of denominators i.e. for 512,7364 is 942592.

Thus, GCF of Fractions is 1/942592.Finally, GCF of Fractions for 4783/512, 9803/7364 is 1/942592.