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GCF of 7193/288, 9101/7857

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 7193/288, 9101/7857 i.e 1/251424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7193/288, 9101/7857.

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 7193/288,9101/7857?

Given fractions are 7193/288,9101/7857

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 7193/288,9101/7857, numerators are 7193,9101

Denominators are 288,7857

The GCF of 7193,9101 is 1 .

LCM of 288,7857 is 251424.

The greatest common factor of 7193/288,9101/7857 = [GCF of 7193,9101]/[LCM of 288,7857]= 1/251424

Therefore, the GCF of 7193/288,9101/7857 is 1/251424.

Greatest Common Factor of 7193,9101

To find the highest common factor of 7193,9101, we have to find the factors of both numbers and list the highest common factor.

The factors of 7193 are 1, 7193

The factors of 9101 are 1, 19, 479, 9101

The HCF of 7193,9101 is 1.

Lets's calculate GCF of 7193,9101

Greatest Common Factor (GCF) of 7193,9101 By Common Division

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

Greatest Common Factor of 7193,9101 By Matching Biggest Common Factor Method

Greatest Common Factor of 7193,9101 By Matching Biggest Common Factor Method

Now, list down the factors of 7193

:

1,7193

Now, list down the factors of 9101

:

1,19,479,9101

Greatest Common Factor

We found the factors 7193,9101 . The biggest common factor number is the GCF number.
So the greatest common factor 7193,9101 is 1.

Lets's calculate LCM of 288,7857

Lowest Common Multiple of 288,7857 using Common Division

3 288, 7857
3 96, 2619
32, 873

∴ So the LCM of the given numbers is 3 x 3 x 32 x 873 = 251424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/251424

Therefore, the GCF of Fractions 7193/288,9101/7857 is 1/251424

Least Common Multiple of 288,7857 with GCF Formula

Least Common Multiple of 288,7857 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 288,7857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,7857) = 9

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

GCF(288,7857) x common factors =9 x 1 = 9

LCM(288,7857) = ( 288 × 7857 ) / 9

LCM(288,7857) = 2262816 / 9

LCM(288,7857) = 251424


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FAQs on GCF of Fractions of 7193/288, 9101/7857

1. What is the HCF of 7193,9101?

The HCF of 7193,9101 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 7193/288, 9101/7857?

Answer: GCF of Numerators as per given numbers 7193/288, 9101/7857 is

GCF of Numerators i.e. for 7193,9101 is 1

LCM of denominators i.e. for 288,7857 is 251424.

Thus, GCF of Fractions is 1/251424.Finally, GCF of Fractions for 7193/288, 9101/7857 is 1/251424.