How to Find GCF of 1055/330, 1118/5189?

GCF of 1055/330, 1118/5189

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 1055/330, 1118/5189 i.e 1/1712370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1055/330, 1118/5189.

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 1055/330,1118/5189?

Given fractions are 1055/330,1118/5189

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 1055/330,1118/5189, numerators are 1055,1118

Denominators are 330,5189

The GCF of 1055,1118 is 1 .

LCM of 330,5189 is 1712370.

The greatest common factor of 1055/330,1118/5189 = [GCF of 1055,1118]/[LCM of 330,5189]= 1/1712370

Therefore, the GCF of 1055/330,1118/5189 is 1/1712370.

Greatest Common Factor of 1055,1118

To find the highest common factor of 1055,1118, we have to find the factors of both numbers and list the highest common factor.

The factors of 1055 are 1, 5, 211, 1055

The factors of 1118 are 1, 2, 13, 26, 43, 86, 559, 1118

The HCF of 1055,1118 is 1.

Lets's calculate GCF of 1055,1118

Greatest Common Factor (GCF) of 1055,1118 By Common Division

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

Greatest Common Factor of 1055,1118 By Matching Biggest Common Factor Method

Now, list down the factors of 1055

1,5,211,1055

Now, list down the factors of 1118

1,2,13,26,43,86,559,1118

Greatest Common Factor

We found the factors 1055,1118 . The biggest common factor number is the GCF number.
So the greatest common factor 1055,1118 is 1.

Lets's calculate LCM of 330,5189

Lowest Common Multiple of 330,5189 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1712370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1712370

Therefore, the GCF of Fractions 1055/330,1118/5189 is 1/1712370

Least Common Multiple of 330,5189 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 330,5189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,5189) = 1

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

GCF(330,5189) x common factors =1 x 1 = 1

LCM(330,5189) = ( 330 × 5189 ) / 1

LCM(330,5189) = 1712370 / 1

LCM(330,5189) = 1712370

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FAQs on GCF of Fractions of 1055/330, 1118/5189

1. What is the HCF of 1055,1118?

The HCF of 1055,1118 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 1055/330, 1118/5189?

Answer: GCF of Numerators as per given numbers 1055/330, 1118/5189 is

GCF of Numerators i.e. for 1055,1118 is 1

LCM of denominators i.e. for 330,5189 is 1712370.

Thus, GCF of Fractions is 1/1712370.Finally, GCF of Fractions for 1055/330, 1118/5189 is 1/1712370.