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GCF of 9587/475, 8314/496

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 9587/475, 8314/496 i.e 1/235600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9587/475, 8314/496.

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 9587/475,8314/496?

Given fractions are 9587/475,8314/496

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 9587/475,8314/496, numerators are 9587,8314

Denominators are 475,496

The GCF of 9587,8314 is 1 .

LCM of 475,496 is 235600.

The greatest common factor of 9587/475,8314/496 = [GCF of 9587,8314]/[LCM of 475,496]= 1/235600

Therefore, the GCF of 9587/475,8314/496 is 1/235600.

Greatest Common Factor of 9587,8314

To find the highest common factor of 9587,8314, we have to find the factors of both numbers and list the highest common factor.

The factors of 9587 are 1, 9587

The factors of 8314 are 1, 2, 4157, 8314

The HCF of 9587,8314 is 1.

Lets's calculate GCF of 9587,8314

Greatest Common Factor (GCF) of 9587,8314 By Common Division

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

Greatest Common Factor of 9587,8314 By Matching Biggest Common Factor Method

Greatest Common Factor of 9587,8314 By Matching Biggest Common Factor Method

Now, list down the factors of 9587

:

1,9587

Now, list down the factors of 8314

:

1,2,4157,8314

Greatest Common Factor

We found the factors 9587,8314 . The biggest common factor number is the GCF number.
So the greatest common factor 9587,8314 is 1.

Lets's calculate LCM of 475,496

Lowest Common Multiple of 475,496 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 235600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/235600

Therefore, the GCF of Fractions 9587/475,8314/496 is 1/235600

Least Common Multiple of 475,496 with GCF Formula

Least Common Multiple of 475,496 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 475,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,496) = 1

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

GCF(475,496) x common factors =1 x 1 = 1

LCM(475,496) = ( 475 × 496 ) / 1

LCM(475,496) = 235600 / 1

LCM(475,496) = 235600


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FAQs on GCF of Fractions of 9587/475, 8314/496

1. What is the HCF of 9587,8314?

The HCF of 9587,8314 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 9587/475, 8314/496?

Answer: GCF of Numerators as per given numbers 9587/475, 8314/496 is

GCF of Numerators i.e. for 9587,8314 is 1

LCM of denominators i.e. for 475,496 is 235600.

Thus, GCF of Fractions is 1/235600.Finally, GCF of Fractions for 9587/475, 8314/496 is 1/235600.