How to Find GCF of 500/467, 8378/900?

GCF of 500/467, 8378/900

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 500/467, 8378/900 i.e 2/420300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 500/467, 8378/900.

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 500/467,8378/900?

Given fractions are 500/467,8378/900

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 500/467,8378/900, numerators are 500,8378

Denominators are 467,900

The GCF of 500,8378 is 2 .

LCM of 467,900 is 420300.

The greatest common factor of 500/467,8378/900 = [GCF of 500,8378]/[LCM of 467,900]= 2/420300

Therefore, the GCF of 500/467,8378/900 is 2/420300.

Greatest Common Factor of 500,8378

To find the highest common factor of 500,8378, we have to find the factors of both numbers and list the highest common factor.

The factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

The factors of 8378 are 1, 2, 59, 71, 118, 142, 4189, 8378

The HCF of 500,8378 is 2.

Lets's calculate GCF of 500,8378

Greatest Common Factor (GCF) of 500,8378 By Common Division

2	500, 8378
	250, 4189

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

Greatest Common Factor of 500,8378 By Matching Biggest Common Factor Method

Now, list down the factors of 500

1,2,4,5,10,20,25,50,100,125,250,500

Now, list down the factors of 8378

1,2,59,71,118,142,4189,8378

Greatest Common Factor

We found the factors 500,8378 . The biggest common factor number is the GCF number.
So the greatest common factor 500,8378 is 2.

Lets's calculate LCM of 467,900

Lowest Common Multiple of 467,900 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 420300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/420300

Therefore, the GCF of Fractions 500/467,8378/900 is 2/420300

Least Common Multiple of 467,900 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 467,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(467,900) = 1

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

GCF(467,900) x common factors =1 x 1 = 1

LCM(467,900) = ( 467 × 900 ) / 1

LCM(467,900) = 420300 / 1

LCM(467,900) = 420300

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FAQs on GCF of Fractions of 500/467, 8378/900

1. What is the HCF of 500,8378?

The HCF of 500,8378 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 500/467, 8378/900?

Answer: GCF of Numerators as per given numbers 500/467, 8378/900 is

GCF of Numerators i.e. for 500,8378 is 2

LCM of denominators i.e. for 467,900 is 420300.

Thus, GCF of Fractions is 2/420300.Finally, GCF of Fractions for 500/467, 8378/900 is 2/420300.