How to Find GCF of 2188/792, 3087/736?

GCF of 2188/792, 3087/736

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 2188/792, 3087/736 i.e 1/72864 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2188/792, 3087/736.

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 2188/792,3087/736?

Given fractions are 2188/792,3087/736

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 2188/792,3087/736, numerators are 2188,3087

Denominators are 792,736

The GCF of 2188,3087 is 1 .

LCM of 792,736 is 72864.

The greatest common factor of 2188/792,3087/736 = [GCF of 2188,3087]/[LCM of 792,736]= 1/72864

Therefore, the GCF of 2188/792,3087/736 is 1/72864.

Greatest Common Factor of 2188,3087

To find the highest common factor of 2188,3087, we have to find the factors of both numbers and list the highest common factor.

The factors of 2188 are 1, 2, 4, 547, 1094, 2188

The factors of 3087 are 1, 3, 7, 9, 21, 49, 63, 147, 343, 441, 1029, 3087

The HCF of 2188,3087 is 1.

Lets's calculate GCF of 2188,3087

Greatest Common Factor (GCF) of 2188,3087 By Common Division

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

Greatest Common Factor of 2188,3087 By Matching Biggest Common Factor Method

Now, list down the factors of 2188

1,2,4,547,1094,2188

Now, list down the factors of 3087

1,3,7,9,21,49,63,147,343,441,1029,3087

Greatest Common Factor

We found the factors 2188,3087 . The biggest common factor number is the GCF number.
So the greatest common factor 2188,3087 is 1.

Lets's calculate LCM of 792,736

Lowest Common Multiple of 792,736 using Common Division

2	792, 736
2	396, 368
2	198, 184
	99, 92

∴ So the LCM of the given numbers is 2 x 2 x 2 x 99 x 92 = 72864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72864

Therefore, the GCF of Fractions 2188/792,3087/736 is 1/72864

Least Common Multiple of 792,736 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 792,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,736) = 8

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

GCF(792,736) x common factors =8 x 1 = 8

LCM(792,736) = ( 792 × 736 ) / 8

LCM(792,736) = 582912 / 8

LCM(792,736) = 72864

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FAQs on GCF of Fractions of 2188/792, 3087/736

1. What is the HCF of 2188,3087?

The HCF of 2188,3087 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 2188/792, 3087/736?

Answer: GCF of Numerators as per given numbers 2188/792, 3087/736 is

GCF of Numerators i.e. for 2188,3087 is 1

LCM of denominators i.e. for 792,736 is 72864.

Thus, GCF of Fractions is 1/72864.Finally, GCF of Fractions for 2188/792, 3087/736 is 1/72864.