How to Find GCF of 480/54, 374/8443?

GCF of 480/54, 374/8443

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 480/54, 374/8443 i.e 2/455922 easily. The following is the detailed procedure to determine the greatest common factor of fractions 480/54, 374/8443.

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 480/54,374/8443?

Given fractions are 480/54,374/8443

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 480/54,374/8443, numerators are 480,374

Denominators are 54,8443

The GCF of 480,374 is 2 .

LCM of 54,8443 is 455922.

The greatest common factor of 480/54,374/8443 = [GCF of 480,374]/[LCM of 54,8443]= 2/455922

Therefore, the GCF of 480/54,374/8443 is 2/455922.

Greatest Common Factor of 480,374

To find the highest common factor of 480,374, we have to find the factors of both numbers and list the highest common factor.

The factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

The factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374

The HCF of 480,374 is 2.

Lets's calculate GCF of 480,374

Greatest Common Factor (GCF) of 480,374 By Common Division

2	480, 374
	240, 187

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 480,374 By Matching Biggest Common Factor Method

Now, list down the factors of 480

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Now, list down the factors of 374

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 480,374 . The biggest common factor number is the GCF number.
So the greatest common factor 480,374 is 2.

Lets's calculate LCM of 54,8443

Lowest Common Multiple of 54,8443 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 455922

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/455922

Therefore, the GCF of Fractions 480/54,374/8443 is 2/455922

Least Common Multiple of 54,8443 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 54,8443 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,8443) = 1

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

GCF(54,8443) x common factors =1 x 1 = 1

LCM(54,8443) = ( 54 × 8443 ) / 1

LCM(54,8443) = 455922 / 1

LCM(54,8443) = 455922

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FAQs on GCF of Fractions of 480/54, 374/8443

1. What is the HCF of 480,374?

The HCF of 480,374 is 2

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 480/54, 374/8443?

Answer: GCF of Numerators as per given numbers 480/54, 374/8443 is

GCF of Numerators i.e. for 480,374 is 2

LCM of denominators i.e. for 54,8443 is 455922.

Thus, GCF of Fractions is 2/455922.Finally, GCF of Fractions for 480/54, 374/8443 is 2/455922.