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GCF of 2818/280, 1811/1038

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 2818/280, 1811/1038 i.e 1/145320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2818/280, 1811/1038.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 2818/280,1811/1038?

Given fractions are 2818/280,1811/1038

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 2818/280,1811/1038, numerators are 2818,1811

Denominators are 280,1038

The GCF of 2818,1811 is 1 .

LCM of 280,1038 is 145320.

The greatest common factor of 2818/280,1811/1038 = [GCF of 2818,1811]/[LCM of 280,1038]= 1/145320

Therefore, the GCF of 2818/280,1811/1038 is 1/145320.

Greatest Common Factor of 2818,1811

To find the highest common factor of 2818,1811, we have to find the factors of both numbers and list the highest common factor.

The factors of 2818 are 1, 2, 1409, 2818

The factors of 1811 are 1, 1811

The HCF of 2818,1811 is 1.

Lets's calculate GCF of 2818,1811

Greatest Common Factor (GCF) of 2818,1811 By Common Division

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

Greatest Common Factor of 2818,1811 By Matching Biggest Common Factor Method

Greatest Common Factor of 2818,1811 By Matching Biggest Common Factor Method

Now, list down the factors of 2818

:

1,2,1409,2818

Now, list down the factors of 1811

:

1,1811

Greatest Common Factor

We found the factors 2818,1811 . The biggest common factor number is the GCF number.
So the greatest common factor 2818,1811 is 1.

Lets's calculate LCM of 280,1038

Lowest Common Multiple of 280,1038 using Common Division

2 280, 1038
140, 519

∴ So the LCM of the given numbers is 2 x 140 x 519 = 145320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145320

Therefore, the GCF of Fractions 2818/280,1811/1038 is 1/145320

Least Common Multiple of 280,1038 with GCF Formula

Least Common Multiple of 280,1038 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 280,1038 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,1038) = 2

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

GCF(280,1038) x common factors =2 x 1 = 2

LCM(280,1038) = ( 280 × 1038 ) / 2

LCM(280,1038) = 290640 / 2

LCM(280,1038) = 145320


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FAQs on GCF of Fractions of 2818/280, 1811/1038

1. What is the HCF of 2818,1811?

The HCF of 2818,1811 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 2818/280, 1811/1038?

Answer: GCF of Numerators as per given numbers 2818/280, 1811/1038 is

GCF of Numerators i.e. for 2818,1811 is 1

LCM of denominators i.e. for 280,1038 is 145320.

Thus, GCF of Fractions is 1/145320.Finally, GCF of Fractions for 2818/280, 1811/1038 is 1/145320.