How to Find GCF of 2110/814, 5486/4092?

GCF of 2110/814, 5486/4092

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 2110/814, 5486/4092 i.e 422/151404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2110/814, 5486/4092.

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 2110/814,5486/4092?

Given fractions are 2110/814,5486/4092

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 2110/814,5486/4092, numerators are 2110,5486

Denominators are 814,4092

The GCF of 2110,5486 is 422 .

LCM of 814,4092 is 151404.

The greatest common factor of 2110/814,5486/4092 = [GCF of 2110,5486]/[LCM of 814,4092]= 422/151404

Therefore, the GCF of 2110/814,5486/4092 is 422/151404.

Greatest Common Factor of 2110,5486

To find the highest common factor of 2110,5486, we have to find the factors of both numbers and list the highest common factor.

The factors of 2110 are 1, 2, 5, 10, 211, 422, 1055, 2110

The factors of 5486 are 1, 2, 13, 26, 211, 422, 2743, 5486

The HCF of 2110,5486 is 422.

Lets's calculate GCF of 2110,5486

Greatest Common Factor (GCF) of 2110,5486 By Common Division

2	2110, 5486
211	1055, 2743
	5, 13

∴ So the GCF of the given numbers is 2 x 211 = 422

Greatest Common Factor of 2110,5486 By Matching Biggest Common Factor Method

Now, list down the factors of 2110

1,2,5,10,211,422,1055,2110

Now, list down the factors of 5486

1,2,13,26,211,422,2743,5486

Greatest Common Factor

We found the factors 2110,5486 . The biggest common factor number is the GCF number.
So the greatest common factor 2110,5486 is 422.

Lets's calculate LCM of 814,4092

Lowest Common Multiple of 814,4092 using Common Division

2	814, 4092
11	407, 2046
	37, 186

∴ So the LCM of the given numbers is 2 x 11 x 37 x 186 = 151404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 422/151404

Therefore, the GCF of Fractions 2110/814,5486/4092 is 422/151404

Least Common Multiple of 814,4092 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 814,4092 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,4092) = 22

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

GCF(814,4092) x common factors =22 x 1 = 22

LCM(814,4092) = ( 814 × 4092 ) / 22

LCM(814,4092) = 3330888 / 22

LCM(814,4092) = 151404

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FAQs on GCF of Fractions of 2110/814, 5486/4092

1. What is the HCF of 2110,5486?

The HCF of 2110,5486 is 422

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 2110/814, 5486/4092?

Answer: GCF of Numerators as per given numbers 2110/814, 5486/4092 is

GCF of Numerators i.e. for 2110,5486 is 422

LCM of denominators i.e. for 814,4092 is 151404.

Thus, GCF of Fractions is 422/151404.Finally, GCF of Fractions for 2110/814, 5486/4092 is 422/151404.