How to Find GCF of 2029/840, 5828/5638?

GCF of 2029/840, 5828/5638

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 2029/840, 5828/5638 i.e 1/2367960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2029/840, 5828/5638.

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 2029/840,5828/5638?

Given fractions are 2029/840,5828/5638

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 2029/840,5828/5638, numerators are 2029,5828

Denominators are 840,5638

The GCF of 2029,5828 is 1 .

LCM of 840,5638 is 2367960.

The greatest common factor of 2029/840,5828/5638 = [GCF of 2029,5828]/[LCM of 840,5638]= 1/2367960

Therefore, the GCF of 2029/840,5828/5638 is 1/2367960.

Greatest Common Factor of 2029,5828

To find the highest common factor of 2029,5828, we have to find the factors of both numbers and list the highest common factor.

The factors of 2029 are 1, 2029

The factors of 5828 are 1, 2, 4, 31, 47, 62, 94, 124, 188, 1457, 2914, 5828

The HCF of 2029,5828 is 1.

Lets's calculate GCF of 2029,5828

Greatest Common Factor (GCF) of 2029,5828 By Common Division

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

Greatest Common Factor of 2029,5828 By Matching Biggest Common Factor Method

Now, list down the factors of 2029

1,2029

Now, list down the factors of 5828

1,2,4,31,47,62,94,124,188,1457,2914,5828

Greatest Common Factor

We found the factors 2029,5828 . The biggest common factor number is the GCF number.
So the greatest common factor 2029,5828 is 1.

Lets's calculate LCM of 840,5638

Lowest Common Multiple of 840,5638 using Common Division

2	840, 5638
	420, 2819

∴ So the LCM of the given numbers is 2 x 420 x 2819 = 2367960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2367960

Therefore, the GCF of Fractions 2029/840,5828/5638 is 1/2367960

Least Common Multiple of 840,5638 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 840,5638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,5638) = 2

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

GCF(840,5638) x common factors =2 x 1 = 2

LCM(840,5638) = ( 840 × 5638 ) / 2

LCM(840,5638) = 4735920 / 2

LCM(840,5638) = 2367960

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2029/840, 5828/5638

1. What is the HCF of 2029,5828?

The HCF of 2029,5828 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 2029/840, 5828/5638?

Answer: GCF of Numerators as per given numbers 2029/840, 5828/5638 is

GCF of Numerators i.e. for 2029,5828 is 1

LCM of denominators i.e. for 840,5638 is 2367960.

Thus, GCF of Fractions is 1/2367960.Finally, GCF of Fractions for 2029/840, 5828/5638 is 1/2367960.