How to Find GCF of 8032/258, 2981/2778?

GCF of 8032/258, 2981/2778

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 8032/258, 2981/2778 i.e 1/119454 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8032/258, 2981/2778.

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 8032/258,2981/2778?

Given fractions are 8032/258,2981/2778

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 8032/258,2981/2778, numerators are 8032,2981

Denominators are 258,2778

The GCF of 8032,2981 is 1 .

LCM of 258,2778 is 119454.

The greatest common factor of 8032/258,2981/2778 = [GCF of 8032,2981]/[LCM of 258,2778]= 1/119454

Therefore, the GCF of 8032/258,2981/2778 is 1/119454.

Greatest Common Factor of 8032,2981

To find the highest common factor of 8032,2981, we have to find the factors of both numbers and list the highest common factor.

The factors of 8032 are 1, 2, 4, 8, 16, 32, 251, 502, 1004, 2008, 4016, 8032

The factors of 2981 are 1, 11, 271, 2981

The HCF of 8032,2981 is 1.

Lets's calculate GCF of 8032,2981

Greatest Common Factor (GCF) of 8032,2981 By Common Division

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

Greatest Common Factor of 8032,2981 By Matching Biggest Common Factor Method

Now, list down the factors of 8032

1,2,4,8,16,32,251,502,1004,2008,4016,8032

Now, list down the factors of 2981

1,11,271,2981

Greatest Common Factor

We found the factors 8032,2981 . The biggest common factor number is the GCF number.
So the greatest common factor 8032,2981 is 1.

Lets's calculate LCM of 258,2778

Lowest Common Multiple of 258,2778 using Common Division

2	258, 2778
3	129, 1389
	43, 463

∴ So the LCM of the given numbers is 2 x 3 x 43 x 463 = 119454

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119454

Therefore, the GCF of Fractions 8032/258,2981/2778 is 1/119454

Least Common Multiple of 258,2778 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 258,2778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,2778) = 6

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

GCF(258,2778) x common factors =6 x 1 = 6

LCM(258,2778) = ( 258 × 2778 ) / 6

LCM(258,2778) = 716724 / 6

LCM(258,2778) = 119454

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FAQs on GCF of Fractions of 8032/258, 2981/2778

1. What is the HCF of 8032,2981?

The HCF of 8032,2981 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 8032/258, 2981/2778?

Answer: GCF of Numerators as per given numbers 8032/258, 2981/2778 is

GCF of Numerators i.e. for 8032,2981 is 1

LCM of denominators i.e. for 258,2778 is 119454.

Thus, GCF of Fractions is 1/119454.Finally, GCF of Fractions for 8032/258, 2981/2778 is 1/119454.