How to Find GCF of 2693/206, 2499/5246?

GCF of 2693/206, 2499/5246

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 2693/206, 2499/5246 i.e 1/540338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2693/206, 2499/5246.

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 2693/206,2499/5246?

Given fractions are 2693/206,2499/5246

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 2693/206,2499/5246, numerators are 2693,2499

Denominators are 206,5246

The GCF of 2693,2499 is 1 .

LCM of 206,5246 is 540338.

The greatest common factor of 2693/206,2499/5246 = [GCF of 2693,2499]/[LCM of 206,5246]= 1/540338

Therefore, the GCF of 2693/206,2499/5246 is 1/540338.

Greatest Common Factor of 2693,2499

To find the highest common factor of 2693,2499, we have to find the factors of both numbers and list the highest common factor.

The factors of 2693 are 1, 2693

The factors of 2499 are 1, 3, 7, 17, 21, 49, 51, 119, 147, 357, 833, 2499

The HCF of 2693,2499 is 1.

Lets's calculate GCF of 2693,2499

Greatest Common Factor (GCF) of 2693,2499 By Common Division

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

Greatest Common Factor of 2693,2499 By Matching Biggest Common Factor Method

Now, list down the factors of 2693

1,2693

Now, list down the factors of 2499

1,3,7,17,21,49,51,119,147,357,833,2499

Greatest Common Factor

We found the factors 2693,2499 . The biggest common factor number is the GCF number.
So the greatest common factor 2693,2499 is 1.

Lets's calculate LCM of 206,5246

Lowest Common Multiple of 206,5246 using Common Division

2	206, 5246
	103, 2623

∴ So the LCM of the given numbers is 2 x 103 x 2623 = 540338

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/540338

Therefore, the GCF of Fractions 2693/206,2499/5246 is 1/540338

Least Common Multiple of 206,5246 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 206,5246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,5246) = 2

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

GCF(206,5246) x common factors =2 x 1 = 2

LCM(206,5246) = ( 206 × 5246 ) / 2

LCM(206,5246) = 1080676 / 2

LCM(206,5246) = 540338

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FAQs on GCF of Fractions of 2693/206, 2499/5246

1. What is the HCF of 2693,2499?

The HCF of 2693,2499 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 2693/206, 2499/5246?

Answer: GCF of Numerators as per given numbers 2693/206, 2499/5246 is

GCF of Numerators i.e. for 2693,2499 is 1

LCM of denominators i.e. for 206,5246 is 540338.

Thus, GCF of Fractions is 1/540338.Finally, GCF of Fractions for 2693/206, 2499/5246 is 1/540338.