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GCF of 94/100, 5193/1738

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 94/100, 5193/1738 i.e 1/86900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/100, 5193/1738.

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 94/100,5193/1738?

Given fractions are 94/100,5193/1738

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 94/100,5193/1738, numerators are 94,5193

Denominators are 100,1738

The GCF of 94,5193 is 1 .

LCM of 100,1738 is 86900.

The greatest common factor of 94/100,5193/1738 = [GCF of 94,5193]/[LCM of 100,1738]= 1/86900

Therefore, the GCF of 94/100,5193/1738 is 1/86900.

Greatest Common Factor of 94,5193

To find the highest common factor of 94,5193, we have to find the factors of both numbers and list the highest common factor.

The factors of 94 are 1, 2, 47, 94

The factors of 5193 are 1, 3, 9, 577, 1731, 5193

The HCF of 94,5193 is 1.

Lets's calculate GCF of 94,5193

Greatest Common Factor (GCF) of 94,5193 By Common Division

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

Greatest Common Factor of 94,5193 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,5193 By Matching Biggest Common Factor Method

Now, list down the factors of 94

:

1,2,47,94

Now, list down the factors of 5193

:

1,3,9,577,1731,5193

Greatest Common Factor

We found the factors 94,5193 . The biggest common factor number is the GCF number.
So the greatest common factor 94,5193 is 1.

Lets's calculate LCM of 100,1738

Lowest Common Multiple of 100,1738 using Common Division

2 100, 1738
50, 869

∴ So the LCM of the given numbers is 2 x 50 x 869 = 86900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86900

Therefore, the GCF of Fractions 94/100,5193/1738 is 1/86900

Least Common Multiple of 100,1738 with GCF Formula

Least Common Multiple of 100,1738 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 100,1738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,1738) = 2

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

GCF(100,1738) x common factors =2 x 1 = 2

LCM(100,1738) = ( 100 × 1738 ) / 2

LCM(100,1738) = 173800 / 2

LCM(100,1738) = 86900


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FAQs on GCF of Fractions of 94/100, 5193/1738

1. What is the HCF of 94,5193?

The HCF of 94,5193 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 94/100, 5193/1738?

Answer: GCF of Numerators as per given numbers 94/100, 5193/1738 is

GCF of Numerators i.e. for 94,5193 is 1

LCM of denominators i.e. for 100,1738 is 86900.

Thus, GCF of Fractions is 1/86900.Finally, GCF of Fractions for 94/100, 5193/1738 is 1/86900.