How to Find GCF of 2679/288, 2540/1267?

GCF of 2679/288, 2540/1267

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 2679/288, 2540/1267 i.e 1/364896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2679/288, 2540/1267.

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 2679/288,2540/1267?

Given fractions are 2679/288,2540/1267

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 2679/288,2540/1267, numerators are 2679,2540

Denominators are 288,1267

The GCF of 2679,2540 is 1 .

LCM of 288,1267 is 364896.

The greatest common factor of 2679/288,2540/1267 = [GCF of 2679,2540]/[LCM of 288,1267]= 1/364896

Therefore, the GCF of 2679/288,2540/1267 is 1/364896.

Greatest Common Factor of 2679,2540

To find the highest common factor of 2679,2540, we have to find the factors of both numbers and list the highest common factor.

The factors of 2679 are 1, 3, 19, 47, 57, 141, 893, 2679

The factors of 2540 are 1, 2, 4, 5, 10, 20, 127, 254, 508, 635, 1270, 2540

The HCF of 2679,2540 is 1.

Lets's calculate GCF of 2679,2540

Greatest Common Factor (GCF) of 2679,2540 By Common Division

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

Greatest Common Factor of 2679,2540 By Matching Biggest Common Factor Method

Now, list down the factors of 2679

1,3,19,47,57,141,893,2679

Now, list down the factors of 2540

1,2,4,5,10,20,127,254,508,635,1270,2540

Greatest Common Factor

We found the factors 2679,2540 . The biggest common factor number is the GCF number.
So the greatest common factor 2679,2540 is 1.

Lets's calculate LCM of 288,1267

Lowest Common Multiple of 288,1267 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 364896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/364896

Therefore, the GCF of Fractions 2679/288,2540/1267 is 1/364896

Least Common Multiple of 288,1267 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 288,1267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,1267) = 1

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

GCF(288,1267) x common factors =1 x 1 = 1

LCM(288,1267) = ( 288 × 1267 ) / 1

LCM(288,1267) = 364896 / 1

LCM(288,1267) = 364896

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2679/288, 2540/1267

1. What is the HCF of 2679,2540?

The HCF of 2679,2540 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 2679/288, 2540/1267?

Answer: GCF of Numerators as per given numbers 2679/288, 2540/1267 is

GCF of Numerators i.e. for 2679,2540 is 1

LCM of denominators i.e. for 288,1267 is 364896.

Thus, GCF of Fractions is 1/364896.Finally, GCF of Fractions for 2679/288, 2540/1267 is 1/364896.