How to Find GCF of 9193/468, 1082/276?

GCF of 9193/468, 1082/276

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 9193/468, 1082/276 i.e 1/10764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9193/468, 1082/276.

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 9193/468,1082/276?

Given fractions are 9193/468,1082/276

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 9193/468,1082/276, numerators are 9193,1082

Denominators are 468,276

The GCF of 9193,1082 is 1 .

LCM of 468,276 is 10764.

The greatest common factor of 9193/468,1082/276 = [GCF of 9193,1082]/[LCM of 468,276]= 1/10764

Therefore, the GCF of 9193/468,1082/276 is 1/10764.

Greatest Common Factor of 9193,1082

To find the highest common factor of 9193,1082, we have to find the factors of both numbers and list the highest common factor.

The factors of 9193 are 1, 29, 317, 9193

The factors of 1082 are 1, 2, 541, 1082

The HCF of 9193,1082 is 1.

Lets's calculate GCF of 9193,1082

Greatest Common Factor (GCF) of 9193,1082 By Common Division

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

Greatest Common Factor of 9193,1082 By Matching Biggest Common Factor Method

Now, list down the factors of 9193

1,29,317,9193

Now, list down the factors of 1082

1,2,541,1082

Greatest Common Factor

We found the factors 9193,1082 . The biggest common factor number is the GCF number.
So the greatest common factor 9193,1082 is 1.

Lets's calculate LCM of 468,276

Lowest Common Multiple of 468,276 using Common Division

2	468, 276
2	234, 138
3	117, 69
	39, 23

∴ So the LCM of the given numbers is 2 x 2 x 3 x 39 x 23 = 10764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10764

Therefore, the GCF of Fractions 9193/468,1082/276 is 1/10764

Least Common Multiple of 468,276 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 468,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,276) = 12

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

GCF(468,276) x common factors =12 x 1 = 12

LCM(468,276) = ( 468 × 276 ) / 12

LCM(468,276) = 129168 / 12

LCM(468,276) = 10764

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FAQs on GCF of Fractions of 9193/468, 1082/276

1. What is the HCF of 9193,1082?

The HCF of 9193,1082 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 9193/468, 1082/276?

Answer: GCF of Numerators as per given numbers 9193/468, 1082/276 is

GCF of Numerators i.e. for 9193,1082 is 1

LCM of denominators i.e. for 468,276 is 10764.

Thus, GCF of Fractions is 1/10764.Finally, GCF of Fractions for 9193/468, 1082/276 is 1/10764.