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GCF of 2597/297, 2243/199

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 2597/297, 2243/199 i.e 1/59103 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2597/297, 2243/199.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 2597/297,2243/199?

Given fractions are 2597/297,2243/199

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 2597/297,2243/199, numerators are 2597,2243

Denominators are 297,199

The GCF of 2597,2243 is 1 .

LCM of 297,199 is 59103.

The greatest common factor of 2597/297,2243/199 = [GCF of 2597,2243]/[LCM of 297,199]= 1/59103

Therefore, the GCF of 2597/297,2243/199 is 1/59103.

Greatest Common Factor of 2597,2243

To find the highest common factor of 2597,2243, we have to find the factors of both numbers and list the highest common factor.

The factors of 2597 are 1, 7, 49, 53, 371, 2597

The factors of 2243 are 1, 2243

The HCF of 2597,2243 is 1.

Lets's calculate GCF of 2597,2243

Greatest Common Factor (GCF) of 2597,2243 By Common Division

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

Greatest Common Factor of 2597,2243 By Matching Biggest Common Factor Method

Greatest Common Factor of 2597,2243 By Matching Biggest Common Factor Method

Now, list down the factors of 2597

:

1,7,49,53,371,2597

Now, list down the factors of 2243

:

1,2243

Greatest Common Factor

We found the factors 2597,2243 . The biggest common factor number is the GCF number.
So the greatest common factor 2597,2243 is 1.

Lets's calculate LCM of 297,199

Lowest Common Multiple of 297,199 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 59103

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59103

Therefore, the GCF of Fractions 2597/297,2243/199 is 1/59103

Least Common Multiple of 297,199 with GCF Formula

Least Common Multiple of 297,199 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 297,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,199) = 1

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

GCF(297,199) x common factors =1 x 1 = 1

LCM(297,199) = ( 297 × 199 ) / 1

LCM(297,199) = 59103 / 1

LCM(297,199) = 59103


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FAQs on GCF of Fractions of 2597/297, 2243/199

1. What is the HCF of 2597,2243?

The HCF of 2597,2243 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 2597/297, 2243/199?

Answer: GCF of Numerators as per given numbers 2597/297, 2243/199 is

GCF of Numerators i.e. for 2597,2243 is 1

LCM of denominators i.e. for 297,199 is 59103.

Thus, GCF of Fractions is 1/59103.Finally, GCF of Fractions for 2597/297, 2243/199 is 1/59103.