How to Find GCF of 1093/116, 9253/3248?

GCF of 1093/116, 9253/3248

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 1093/116, 9253/3248 i.e 1/3248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1093/116, 9253/3248.

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 1093/116,9253/3248?

Given fractions are 1093/116,9253/3248

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 1093/116,9253/3248, numerators are 1093,9253

Denominators are 116,3248

The GCF of 1093,9253 is 1 .

LCM of 116,3248 is 3248.

The greatest common factor of 1093/116,9253/3248 = [GCF of 1093,9253]/[LCM of 116,3248]= 1/3248

Therefore, the GCF of 1093/116,9253/3248 is 1/3248.

Greatest Common Factor of 1093,9253

To find the highest common factor of 1093,9253, we have to find the factors of both numbers and list the highest common factor.

The factors of 1093 are 1, 1093

The factors of 9253 are 1, 19, 487, 9253

The HCF of 1093,9253 is 1.

Lets's calculate GCF of 1093,9253

Greatest Common Factor (GCF) of 1093,9253 By Common Division

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

Greatest Common Factor of 1093,9253 By Matching Biggest Common Factor Method

Now, list down the factors of 1093

1,1093

Now, list down the factors of 9253

1,19,487,9253

Greatest Common Factor

We found the factors 1093,9253 . The biggest common factor number is the GCF number.
So the greatest common factor 1093,9253 is 1.

Lets's calculate LCM of 116,3248

Lowest Common Multiple of 116,3248 using Common Division

2	116, 3248
2	58, 1624
29	29, 812
	1, 28

∴ So the LCM of the given numbers is 2 x 2 x 29 x 1 x 28 = 3248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3248

Therefore, the GCF of Fractions 1093/116,9253/3248 is 1/3248

Least Common Multiple of 116,3248 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 116,3248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(116,3248) = 116

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

GCF(116,3248) x common factors =116 x 1 = 116

LCM(116,3248) = ( 116 × 3248 ) / 116

LCM(116,3248) = 376768 / 116

LCM(116,3248) = 3248

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FAQs on GCF of Fractions of 1093/116, 9253/3248

1. What is the HCF of 1093,9253?

The HCF of 1093,9253 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 1093/116, 9253/3248?

Answer: GCF of Numerators as per given numbers 1093/116, 9253/3248 is

GCF of Numerators i.e. for 1093,9253 is 1

LCM of denominators i.e. for 116,3248 is 3248.

Thus, GCF of Fractions is 1/3248.Finally, GCF of Fractions for 1093/116, 9253/3248 is 1/3248.