How to Find GCF of 2426/205, 6492/2899?

GCF of 2426/205, 6492/2899

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 2426/205, 6492/2899 i.e 2/594295 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2426/205, 6492/2899.

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 2426/205,6492/2899?

Given fractions are 2426/205,6492/2899

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 2426/205,6492/2899, numerators are 2426,6492

Denominators are 205,2899

The GCF of 2426,6492 is 2 .

LCM of 205,2899 is 594295.

The greatest common factor of 2426/205,6492/2899 = [GCF of 2426,6492]/[LCM of 205,2899]= 2/594295

Therefore, the GCF of 2426/205,6492/2899 is 2/594295.

Greatest Common Factor of 2426,6492

To find the highest common factor of 2426,6492, we have to find the factors of both numbers and list the highest common factor.

The factors of 2426 are 1, 2, 1213, 2426

The factors of 6492 are 1, 2, 3, 4, 6, 12, 541, 1082, 1623, 2164, 3246, 6492

The HCF of 2426,6492 is 2.

Lets's calculate GCF of 2426,6492

Greatest Common Factor (GCF) of 2426,6492 By Common Division

2	2426, 6492
	1213, 3246

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2426,6492 By Matching Biggest Common Factor Method

Now, list down the factors of 2426

1,2,1213,2426

Now, list down the factors of 6492

1,2,3,4,6,12,541,1082,1623,2164,3246,6492

Greatest Common Factor

We found the factors 2426,6492 . The biggest common factor number is the GCF number.
So the greatest common factor 2426,6492 is 2.

Lets's calculate LCM of 205,2899

Lowest Common Multiple of 205,2899 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 594295

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/594295

Therefore, the GCF of Fractions 2426/205,6492/2899 is 2/594295

Least Common Multiple of 205,2899 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 205,2899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,2899) = 1

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

GCF(205,2899) x common factors =1 x 1 = 1

LCM(205,2899) = ( 205 × 2899 ) / 1

LCM(205,2899) = 594295 / 1

LCM(205,2899) = 594295

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2426/205, 6492/2899

1. What is the HCF of 2426,6492?

The HCF of 2426,6492 is 2

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 2426/205, 6492/2899?

Answer: GCF of Numerators as per given numbers 2426/205, 6492/2899 is

GCF of Numerators i.e. for 2426,6492 is 2

LCM of denominators i.e. for 205,2899 is 594295.

Thus, GCF of Fractions is 2/594295.Finally, GCF of Fractions for 2426/205, 6492/2899 is 2/594295.