How to Find GCF of 8521/310, 2125/2477?

GCF of 8521/310, 2125/2477

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 8521/310, 2125/2477 i.e 1/767870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8521/310, 2125/2477.

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 8521/310,2125/2477?

Given fractions are 8521/310,2125/2477

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 8521/310,2125/2477, numerators are 8521,2125

Denominators are 310,2477

The GCF of 8521,2125 is 1 .

LCM of 310,2477 is 767870.

The greatest common factor of 8521/310,2125/2477 = [GCF of 8521,2125]/[LCM of 310,2477]= 1/767870

Therefore, the GCF of 8521/310,2125/2477 is 1/767870.

Greatest Common Factor of 8521,2125

To find the highest common factor of 8521,2125, we have to find the factors of both numbers and list the highest common factor.

The factors of 8521 are 1, 8521

The factors of 2125 are 1, 5, 17, 25, 85, 125, 425, 2125

The HCF of 8521,2125 is 1.

Lets's calculate GCF of 8521,2125

Greatest Common Factor (GCF) of 8521,2125 By Common Division

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

Greatest Common Factor of 8521,2125 By Matching Biggest Common Factor Method

Now, list down the factors of 8521

1,8521

Now, list down the factors of 2125

1,5,17,25,85,125,425,2125

Greatest Common Factor

We found the factors 8521,2125 . The biggest common factor number is the GCF number.
So the greatest common factor 8521,2125 is 1.

Lets's calculate LCM of 310,2477

Lowest Common Multiple of 310,2477 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 767870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/767870

Therefore, the GCF of Fractions 8521/310,2125/2477 is 1/767870

Least Common Multiple of 310,2477 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 310,2477 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,2477) = 1

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

GCF(310,2477) x common factors =1 x 1 = 1

LCM(310,2477) = ( 310 × 2477 ) / 1

LCM(310,2477) = 767870 / 1

LCM(310,2477) = 767870

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FAQs on GCF of Fractions of 8521/310, 2125/2477

1. What is the HCF of 8521,2125?

The HCF of 8521,2125 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 8521/310, 2125/2477?

Answer: GCF of Numerators as per given numbers 8521/310, 2125/2477 is

GCF of Numerators i.e. for 8521,2125 is 1

LCM of denominators i.e. for 310,2477 is 767870.

Thus, GCF of Fractions is 1/767870.Finally, GCF of Fractions for 8521/310, 2125/2477 is 1/767870.