How to Find GCF of 2668/416, 5087/6864?

GCF of 2668/416, 5087/6864

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 2668/416, 5087/6864 i.e 1/13728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2668/416, 5087/6864.

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 2668/416,5087/6864?

Given fractions are 2668/416,5087/6864

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 2668/416,5087/6864, numerators are 2668,5087

Denominators are 416,6864

The GCF of 2668,5087 is 1 .

LCM of 416,6864 is 13728.

The greatest common factor of 2668/416,5087/6864 = [GCF of 2668,5087]/[LCM of 416,6864]= 1/13728

Therefore, the GCF of 2668/416,5087/6864 is 1/13728.

Greatest Common Factor of 2668,5087

To find the highest common factor of 2668,5087, we have to find the factors of both numbers and list the highest common factor.

The factors of 2668 are 1, 2, 4, 23, 29, 46, 58, 92, 116, 667, 1334, 2668

The factors of 5087 are 1, 5087

The HCF of 2668,5087 is 1.

Lets's calculate GCF of 2668,5087

Greatest Common Factor (GCF) of 2668,5087 By Common Division

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

Greatest Common Factor of 2668,5087 By Matching Biggest Common Factor Method

Now, list down the factors of 2668

1,2,4,23,29,46,58,92,116,667,1334,2668

Now, list down the factors of 5087

1,5087

Greatest Common Factor

We found the factors 2668,5087 . The biggest common factor number is the GCF number.
So the greatest common factor 2668,5087 is 1.

Lets's calculate LCM of 416,6864

Lowest Common Multiple of 416,6864 using Common Division

2	416, 6864
2	208, 3432
2	104, 1716
2	52, 858
13	26, 429
	2, 33

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 13 x 2 x 33 = 13728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13728

Therefore, the GCF of Fractions 2668/416,5087/6864 is 1/13728

Least Common Multiple of 416,6864 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 416,6864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(416,6864) = 208

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

GCF(416,6864) x common factors =208 x 1 = 208

LCM(416,6864) = ( 416 × 6864 ) / 208

LCM(416,6864) = 2855424 / 208

LCM(416,6864) = 13728

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FAQs on GCF of Fractions of 2668/416, 5087/6864

1. What is the HCF of 2668,5087?

The HCF of 2668,5087 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 2668/416, 5087/6864?

Answer: GCF of Numerators as per given numbers 2668/416, 5087/6864 is

GCF of Numerators i.e. for 2668,5087 is 1

LCM of denominators i.e. for 416,6864 is 13728.

Thus, GCF of Fractions is 1/13728.Finally, GCF of Fractions for 2668/416, 5087/6864 is 1/13728.