How to Find GCF of 5396/992, 1093/1272?

GCF of 5396/992, 1093/1272

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 5396/992, 1093/1272 i.e 1/157728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5396/992, 1093/1272.

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 5396/992,1093/1272?

Given fractions are 5396/992,1093/1272

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 5396/992,1093/1272, numerators are 5396,1093

Denominators are 992,1272

The GCF of 5396,1093 is 1 .

LCM of 992,1272 is 157728.

The greatest common factor of 5396/992,1093/1272 = [GCF of 5396,1093]/[LCM of 992,1272]= 1/157728

Therefore, the GCF of 5396/992,1093/1272 is 1/157728.

Greatest Common Factor of 5396,1093

To find the highest common factor of 5396,1093, we have to find the factors of both numbers and list the highest common factor.

The factors of 5396 are 1, 2, 4, 19, 38, 71, 76, 142, 284, 1349, 2698, 5396

The factors of 1093 are 1, 1093

The HCF of 5396,1093 is 1.

Lets's calculate GCF of 5396,1093

Greatest Common Factor (GCF) of 5396,1093 By Common Division

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

Greatest Common Factor of 5396,1093 By Matching Biggest Common Factor Method

Now, list down the factors of 5396

1,2,4,19,38,71,76,142,284,1349,2698,5396

Now, list down the factors of 1093

1,1093

Greatest Common Factor

We found the factors 5396,1093 . The biggest common factor number is the GCF number.
So the greatest common factor 5396,1093 is 1.

Lets's calculate LCM of 992,1272

Lowest Common Multiple of 992,1272 using Common Division

2	992, 1272
2	496, 636
2	248, 318
	124, 159

∴ So the LCM of the given numbers is 2 x 2 x 2 x 124 x 159 = 157728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157728

Therefore, the GCF of Fractions 5396/992,1093/1272 is 1/157728

Least Common Multiple of 992,1272 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 992,1272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,1272) = 8

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

GCF(992,1272) x common factors =8 x 1 = 8

LCM(992,1272) = ( 992 × 1272 ) / 8

LCM(992,1272) = 1261824 / 8

LCM(992,1272) = 157728

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FAQs on GCF of Fractions of 5396/992, 1093/1272

1. What is the HCF of 5396,1093?

The HCF of 5396,1093 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 5396/992, 1093/1272?

Answer: GCF of Numerators as per given numbers 5396/992, 1093/1272 is

GCF of Numerators i.e. for 5396,1093 is 1

LCM of denominators i.e. for 992,1272 is 157728.

Thus, GCF of Fractions is 1/157728.Finally, GCF of Fractions for 5396/992, 1093/1272 is 1/157728.