How to Find GCF of 7243/209, 2051/9456?

GCF of 7243/209, 2051/9456

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 7243/209, 2051/9456 i.e 1/1976304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7243/209, 2051/9456.

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 7243/209,2051/9456?

Given fractions are 7243/209,2051/9456

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 7243/209,2051/9456, numerators are 7243,2051

Denominators are 209,9456

The GCF of 7243,2051 is 1 .

LCM of 209,9456 is 1976304.

The greatest common factor of 7243/209,2051/9456 = [GCF of 7243,2051]/[LCM of 209,9456]= 1/1976304

Therefore, the GCF of 7243/209,2051/9456 is 1/1976304.

Greatest Common Factor of 7243,2051

To find the highest common factor of 7243,2051, we have to find the factors of both numbers and list the highest common factor.

The factors of 7243 are 1, 7243

The factors of 2051 are 1, 7, 293, 2051

The HCF of 7243,2051 is 1.

Lets's calculate GCF of 7243,2051

Greatest Common Factor (GCF) of 7243,2051 By Common Division

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

Greatest Common Factor of 7243,2051 By Matching Biggest Common Factor Method

Now, list down the factors of 7243

1,7243

Now, list down the factors of 2051

1,7,293,2051

Greatest Common Factor

We found the factors 7243,2051 . The biggest common factor number is the GCF number.
So the greatest common factor 7243,2051 is 1.

Lets's calculate LCM of 209,9456

Lowest Common Multiple of 209,9456 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1976304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1976304

Therefore, the GCF of Fractions 7243/209,2051/9456 is 1/1976304

Least Common Multiple of 209,9456 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 209,9456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,9456) = 1

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

GCF(209,9456) x common factors =1 x 1 = 1

LCM(209,9456) = ( 209 × 9456 ) / 1

LCM(209,9456) = 1976304 / 1

LCM(209,9456) = 1976304

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FAQs on GCF of Fractions of 7243/209, 2051/9456

1. What is the HCF of 7243,2051?

The HCF of 7243,2051 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 7243/209, 2051/9456?

Answer: GCF of Numerators as per given numbers 7243/209, 2051/9456 is

GCF of Numerators i.e. for 7243,2051 is 1

LCM of denominators i.e. for 209,9456 is 1976304.

Thus, GCF of Fractions is 1/1976304.Finally, GCF of Fractions for 7243/209, 2051/9456 is 1/1976304.