How to Find GCF of 2087/272, 9295/1680?

GCF of 2087/272, 9295/1680

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 2087/272, 9295/1680 i.e 1/28560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2087/272, 9295/1680.

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 2087/272,9295/1680?

Given fractions are 2087/272,9295/1680

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 2087/272,9295/1680, numerators are 2087,9295

Denominators are 272,1680

The GCF of 2087,9295 is 1 .

LCM of 272,1680 is 28560.

The greatest common factor of 2087/272,9295/1680 = [GCF of 2087,9295]/[LCM of 272,1680]= 1/28560

Therefore, the GCF of 2087/272,9295/1680 is 1/28560.

Greatest Common Factor of 2087,9295

To find the highest common factor of 2087,9295, we have to find the factors of both numbers and list the highest common factor.

The factors of 2087 are 1, 2087

The factors of 9295 are 1, 5, 11, 13, 55, 65, 143, 169, 715, 845, 1859, 9295

The HCF of 2087,9295 is 1.

Lets's calculate GCF of 2087,9295

Greatest Common Factor (GCF) of 2087,9295 By Common Division

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

Greatest Common Factor of 2087,9295 By Matching Biggest Common Factor Method

Now, list down the factors of 2087

1,2087

Now, list down the factors of 9295

1,5,11,13,55,65,143,169,715,845,1859,9295

Greatest Common Factor

We found the factors 2087,9295 . The biggest common factor number is the GCF number.
So the greatest common factor 2087,9295 is 1.

Lets's calculate LCM of 272,1680

Lowest Common Multiple of 272,1680 using Common Division

2	272, 1680
2	136, 840
2	68, 420
2	34, 210
	17, 105

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 17 x 105 = 28560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28560

Therefore, the GCF of Fractions 2087/272,9295/1680 is 1/28560

Least Common Multiple of 272,1680 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 272,1680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,1680) = 16

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

GCF(272,1680) x common factors =16 x 1 = 16

LCM(272,1680) = ( 272 × 1680 ) / 16

LCM(272,1680) = 456960 / 16

LCM(272,1680) = 28560

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FAQs on GCF of Fractions of 2087/272, 9295/1680

1. What is the HCF of 2087,9295?

The HCF of 2087,9295 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 2087/272, 9295/1680?

Answer: GCF of Numerators as per given numbers 2087/272, 9295/1680 is

GCF of Numerators i.e. for 2087,9295 is 1

LCM of denominators i.e. for 272,1680 is 28560.

Thus, GCF of Fractions is 1/28560.Finally, GCF of Fractions for 2087/272, 9295/1680 is 1/28560.