How to Find GCF of 8055/489, 2971/4930?

GCF of 8055/489, 2971/4930

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 8055/489, 2971/4930 i.e 1/2410770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8055/489, 2971/4930.

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 8055/489,2971/4930?

Given fractions are 8055/489,2971/4930

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 8055/489,2971/4930, numerators are 8055,2971

Denominators are 489,4930

The GCF of 8055,2971 is 1 .

LCM of 489,4930 is 2410770.

The greatest common factor of 8055/489,2971/4930 = [GCF of 8055,2971]/[LCM of 489,4930]= 1/2410770

Therefore, the GCF of 8055/489,2971/4930 is 1/2410770.

Greatest Common Factor of 8055,2971

To find the highest common factor of 8055,2971, we have to find the factors of both numbers and list the highest common factor.

The factors of 8055 are 1, 3, 5, 9, 15, 45, 179, 537, 895, 1611, 2685, 8055

The factors of 2971 are 1, 2971

The HCF of 8055,2971 is 1.

Lets's calculate GCF of 8055,2971

Greatest Common Factor (GCF) of 8055,2971 By Common Division

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

Greatest Common Factor of 8055,2971 By Matching Biggest Common Factor Method

Now, list down the factors of 8055

1,3,5,9,15,45,179,537,895,1611,2685,8055

Now, list down the factors of 2971

1,2971

Greatest Common Factor

We found the factors 8055,2971 . The biggest common factor number is the GCF number.
So the greatest common factor 8055,2971 is 1.

Lets's calculate LCM of 489,4930

Lowest Common Multiple of 489,4930 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2410770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2410770

Therefore, the GCF of Fractions 8055/489,2971/4930 is 1/2410770

Least Common Multiple of 489,4930 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 489,4930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,4930) = 1

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

GCF(489,4930) x common factors =1 x 1 = 1

LCM(489,4930) = ( 489 × 4930 ) / 1

LCM(489,4930) = 2410770 / 1

LCM(489,4930) = 2410770

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FAQs on GCF of Fractions of 8055/489, 2971/4930

1. What is the HCF of 8055,2971?

The HCF of 8055,2971 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 8055/489, 2971/4930?

Answer: GCF of Numerators as per given numbers 8055/489, 2971/4930 is

GCF of Numerators i.e. for 8055,2971 is 1

LCM of denominators i.e. for 489,4930 is 2410770.

Thus, GCF of Fractions is 1/2410770.Finally, GCF of Fractions for 8055/489, 2971/4930 is 1/2410770.