How to Find GCF of 9133/286, 8012/5462?

GCF of 9133/286, 8012/5462

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 9133/286, 8012/5462 i.e 1/781066 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9133/286, 8012/5462.

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 9133/286,8012/5462?

Given fractions are 9133/286,8012/5462

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 9133/286,8012/5462, numerators are 9133,8012

Denominators are 286,5462

The GCF of 9133,8012 is 1 .

LCM of 286,5462 is 781066.

The greatest common factor of 9133/286,8012/5462 = [GCF of 9133,8012]/[LCM of 286,5462]= 1/781066

Therefore, the GCF of 9133/286,8012/5462 is 1/781066.

Greatest Common Factor of 9133,8012

To find the highest common factor of 9133,8012, we have to find the factors of both numbers and list the highest common factor.

The factors of 9133 are 1, 9133

The factors of 8012 are 1, 2, 4, 2003, 4006, 8012

The HCF of 9133,8012 is 1.

Lets's calculate GCF of 9133,8012

Greatest Common Factor (GCF) of 9133,8012 By Common Division

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

Greatest Common Factor of 9133,8012 By Matching Biggest Common Factor Method

Now, list down the factors of 9133

1,9133

Now, list down the factors of 8012

1,2,4,2003,4006,8012

Greatest Common Factor

We found the factors 9133,8012 . The biggest common factor number is the GCF number.
So the greatest common factor 9133,8012 is 1.

Lets's calculate LCM of 286,5462

Lowest Common Multiple of 286,5462 using Common Division

2	286, 5462
	143, 2731

∴ So the LCM of the given numbers is 2 x 143 x 2731 = 781066

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/781066

Therefore, the GCF of Fractions 9133/286,8012/5462 is 1/781066

Least Common Multiple of 286,5462 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 286,5462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(286,5462) = 2

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

GCF(286,5462) x common factors =2 x 1 = 2

LCM(286,5462) = ( 286 × 5462 ) / 2

LCM(286,5462) = 1562132 / 2

LCM(286,5462) = 781066

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FAQs on GCF of Fractions of 9133/286, 8012/5462

1. What is the HCF of 9133,8012?

The HCF of 9133,8012 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 9133/286, 8012/5462?

Answer: GCF of Numerators as per given numbers 9133/286, 8012/5462 is

GCF of Numerators i.e. for 9133,8012 is 1

LCM of denominators i.e. for 286,5462 is 781066.

Thus, GCF of Fractions is 1/781066.Finally, GCF of Fractions for 9133/286, 8012/5462 is 1/781066.