How to Find GCF of 150/501, 2314/796?

GCF of 150/501, 2314/796

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 150/501, 2314/796 i.e 2/398796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 150/501, 2314/796.

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 150/501,2314/796?

Given fractions are 150/501,2314/796

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 150/501,2314/796, numerators are 150,2314

Denominators are 501,796

The GCF of 150,2314 is 2 .

LCM of 501,796 is 398796.

The greatest common factor of 150/501,2314/796 = [GCF of 150,2314]/[LCM of 501,796]= 2/398796

Therefore, the GCF of 150/501,2314/796 is 2/398796.

Greatest Common Factor of 150,2314

To find the highest common factor of 150,2314, we have to find the factors of both numbers and list the highest common factor.

The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

The factors of 2314 are 1, 2, 13, 26, 89, 178, 1157, 2314

The HCF of 150,2314 is 2.

Lets's calculate GCF of 150,2314

Greatest Common Factor (GCF) of 150,2314 By Common Division

2	150, 2314
	75, 1157

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 150,2314 By Matching Biggest Common Factor Method

Now, list down the factors of 150

1,2,3,5,6,10,15,25,30,50,75,150

Now, list down the factors of 2314

1,2,13,26,89,178,1157,2314

Greatest Common Factor

We found the factors 150,2314 . The biggest common factor number is the GCF number.
So the greatest common factor 150,2314 is 2.

Lets's calculate LCM of 501,796

Lowest Common Multiple of 501,796 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 398796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/398796

Therefore, the GCF of Fractions 150/501,2314/796 is 2/398796

Least Common Multiple of 501,796 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 501,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(501,796) = 1

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

GCF(501,796) x common factors =1 x 1 = 1

LCM(501,796) = ( 501 × 796 ) / 1

LCM(501,796) = 398796 / 1

LCM(501,796) = 398796

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FAQs on GCF of Fractions of 150/501, 2314/796

1. What is the HCF of 150,2314?

The HCF of 150,2314 is 2

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 150/501, 2314/796?

Answer: GCF of Numerators as per given numbers 150/501, 2314/796 is

GCF of Numerators i.e. for 150,2314 is 2

LCM of denominators i.e. for 501,796 is 398796.

Thus, GCF of Fractions is 2/398796.Finally, GCF of Fractions for 150/501, 2314/796 is 2/398796.