How to Find GCF of 8747/406, 1313/150?

GCF of 8747/406, 1313/150

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 8747/406, 1313/150 i.e 1/30450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8747/406, 1313/150.

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 8747/406,1313/150?

Given fractions are 8747/406,1313/150

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 8747/406,1313/150, numerators are 8747,1313

Denominators are 406,150

The GCF of 8747,1313 is 1 .

LCM of 406,150 is 30450.

The greatest common factor of 8747/406,1313/150 = [GCF of 8747,1313]/[LCM of 406,150]= 1/30450

Therefore, the GCF of 8747/406,1313/150 is 1/30450.

Greatest Common Factor of 8747,1313

To find the highest common factor of 8747,1313, we have to find the factors of both numbers and list the highest common factor.

The factors of 8747 are 1, 8747

The factors of 1313 are 1, 13, 101, 1313

The HCF of 8747,1313 is 1.

Lets's calculate GCF of 8747,1313

Greatest Common Factor (GCF) of 8747,1313 By Common Division

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

Greatest Common Factor of 8747,1313 By Matching Biggest Common Factor Method

Now, list down the factors of 8747

1,8747

Now, list down the factors of 1313

1,13,101,1313

Greatest Common Factor

We found the factors 8747,1313 . The biggest common factor number is the GCF number.
So the greatest common factor 8747,1313 is 1.

Lets's calculate LCM of 406,150

Lowest Common Multiple of 406,150 using Common Division

2	406, 150
	203, 75

∴ So the LCM of the given numbers is 2 x 203 x 75 = 30450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30450

Therefore, the GCF of Fractions 8747/406,1313/150 is 1/30450

Least Common Multiple of 406,150 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 406,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(406,150) = 2

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

GCF(406,150) x common factors =2 x 1 = 2

LCM(406,150) = ( 406 × 150 ) / 2

LCM(406,150) = 60900 / 2

LCM(406,150) = 30450

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FAQs on GCF of Fractions of 8747/406, 1313/150

1. What is the HCF of 8747,1313?

The HCF of 8747,1313 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 8747/406, 1313/150?

Answer: GCF of Numerators as per given numbers 8747/406, 1313/150 is

GCF of Numerators i.e. for 8747,1313 is 1

LCM of denominators i.e. for 406,150 is 30450.

Thus, GCF of Fractions is 1/30450.Finally, GCF of Fractions for 8747/406, 1313/150 is 1/30450.