How to Find GCF of 8548/480, 4943/1640?

GCF of 8548/480, 4943/1640

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 8548/480, 4943/1640 i.e 1/19680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8548/480, 4943/1640.

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 8548/480,4943/1640?

Given fractions are 8548/480,4943/1640

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 8548/480,4943/1640, numerators are 8548,4943

Denominators are 480,1640

The GCF of 8548,4943 is 1 .

LCM of 480,1640 is 19680.

The greatest common factor of 8548/480,4943/1640 = [GCF of 8548,4943]/[LCM of 480,1640]= 1/19680

Therefore, the GCF of 8548/480,4943/1640 is 1/19680.

Greatest Common Factor of 8548,4943

To find the highest common factor of 8548,4943, we have to find the factors of both numbers and list the highest common factor.

The factors of 8548 are 1, 2, 4, 2137, 4274, 8548

The factors of 4943 are 1, 4943

The HCF of 8548,4943 is 1.

Lets's calculate GCF of 8548,4943

Greatest Common Factor (GCF) of 8548,4943 By Common Division

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

Greatest Common Factor of 8548,4943 By Matching Biggest Common Factor Method

Now, list down the factors of 8548

1,2,4,2137,4274,8548

Now, list down the factors of 4943

1,4943

Greatest Common Factor

We found the factors 8548,4943 . The biggest common factor number is the GCF number.
So the greatest common factor 8548,4943 is 1.

Lets's calculate LCM of 480,1640

Lowest Common Multiple of 480,1640 using Common Division

2	480, 1640
2	240, 820
2	120, 410
5	60, 205
	12, 41

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 12 x 41 = 19680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19680

Therefore, the GCF of Fractions 8548/480,4943/1640 is 1/19680

Least Common Multiple of 480,1640 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 480,1640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,1640) = 40

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

GCF(480,1640) x common factors =40 x 1 = 40

LCM(480,1640) = ( 480 × 1640 ) / 40

LCM(480,1640) = 787200 / 40

LCM(480,1640) = 19680

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FAQs on GCF of Fractions of 8548/480, 4943/1640

1. What is the HCF of 8548,4943?

The HCF of 8548,4943 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 8548/480, 4943/1640?

Answer: GCF of Numerators as per given numbers 8548/480, 4943/1640 is

GCF of Numerators i.e. for 8548,4943 is 1

LCM of denominators i.e. for 480,1640 is 19680.

Thus, GCF of Fractions is 1/19680.Finally, GCF of Fractions for 8548/480, 4943/1640 is 1/19680.