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GCF of 8513/791, 9218/600

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 8513/791, 9218/600 i.e 1/474600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8513/791, 9218/600.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 8513/791,9218/600?

Given fractions are 8513/791,9218/600

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 8513/791,9218/600, numerators are 8513,9218

Denominators are 791,600

The GCF of 8513,9218 is 1 .

LCM of 791,600 is 474600.

The greatest common factor of 8513/791,9218/600 = [GCF of 8513,9218]/[LCM of 791,600]= 1/474600

Therefore, the GCF of 8513/791,9218/600 is 1/474600.

Greatest Common Factor of 8513,9218

To find the highest common factor of 8513,9218, we have to find the factors of both numbers and list the highest common factor.

The factors of 8513 are 1, 8513

The factors of 9218 are 1, 2, 11, 22, 419, 838, 4609, 9218

The HCF of 8513,9218 is 1.

Lets's calculate GCF of 8513,9218

Greatest Common Factor (GCF) of 8513,9218 By Common Division

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

Greatest Common Factor of 8513,9218 By Matching Biggest Common Factor Method

Greatest Common Factor of 8513,9218 By Matching Biggest Common Factor Method

Now, list down the factors of 8513

:

1,8513

Now, list down the factors of 9218

:

1,2,11,22,419,838,4609,9218

Greatest Common Factor

We found the factors 8513,9218 . The biggest common factor number is the GCF number.
So the greatest common factor 8513,9218 is 1.

Lets's calculate LCM of 791,600

Lowest Common Multiple of 791,600 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 474600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/474600

Therefore, the GCF of Fractions 8513/791,9218/600 is 1/474600

Least Common Multiple of 791,600 with GCF Formula

Least Common Multiple of 791,600 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 791,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(791,600) = 1

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

GCF(791,600) x common factors =1 x 1 = 1

LCM(791,600) = ( 791 × 600 ) / 1

LCM(791,600) = 474600 / 1

LCM(791,600) = 474600


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FAQs on GCF of Fractions of 8513/791, 9218/600

1. What is the HCF of 8513,9218?

The HCF of 8513,9218 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 8513/791, 9218/600?

Answer: GCF of Numerators as per given numbers 8513/791, 9218/600 is

GCF of Numerators i.e. for 8513,9218 is 1

LCM of denominators i.e. for 791,600 is 474600.

Thus, GCF of Fractions is 1/474600.Finally, GCF of Fractions for 8513/791, 9218/600 is 1/474600.