How to Find GCF of 8625/460, 1298/3853?

GCF of 8625/460, 1298/3853

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 8625/460, 1298/3853 i.e 1/1772380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8625/460, 1298/3853.

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 8625/460,1298/3853?

Given fractions are 8625/460,1298/3853

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 8625/460,1298/3853, numerators are 8625,1298

Denominators are 460,3853

The GCF of 8625,1298 is 1 .

LCM of 460,3853 is 1772380.

The greatest common factor of 8625/460,1298/3853 = [GCF of 8625,1298]/[LCM of 460,3853]= 1/1772380

Therefore, the GCF of 8625/460,1298/3853 is 1/1772380.

Greatest Common Factor of 8625,1298

To find the highest common factor of 8625,1298, we have to find the factors of both numbers and list the highest common factor.

The factors of 8625 are 1, 3, 5, 15, 23, 25, 69, 75, 115, 125, 345, 375, 575, 1725, 2875, 8625

The factors of 1298 are 1, 2, 11, 22, 59, 118, 649, 1298

The HCF of 8625,1298 is 1.

Lets's calculate GCF of 8625,1298

Greatest Common Factor (GCF) of 8625,1298 By Common Division

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

Greatest Common Factor of 8625,1298 By Matching Biggest Common Factor Method

Now, list down the factors of 8625

1,3,5,15,23,25,69,75,115,125,345,375,575,1725,2875,8625

Now, list down the factors of 1298

1,2,11,22,59,118,649,1298

Greatest Common Factor

We found the factors 8625,1298 . The biggest common factor number is the GCF number.
So the greatest common factor 8625,1298 is 1.

Lets's calculate LCM of 460,3853

Lowest Common Multiple of 460,3853 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1772380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1772380

Therefore, the GCF of Fractions 8625/460,1298/3853 is 1/1772380

Least Common Multiple of 460,3853 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 460,3853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,3853) = 1

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

GCF(460,3853) x common factors =1 x 1 = 1

LCM(460,3853) = ( 460 × 3853 ) / 1

LCM(460,3853) = 1772380 / 1

LCM(460,3853) = 1772380

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FAQs on GCF of Fractions of 8625/460, 1298/3853

1. What is the HCF of 8625,1298?

The HCF of 8625,1298 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 8625/460, 1298/3853?

Answer: GCF of Numerators as per given numbers 8625/460, 1298/3853 is

GCF of Numerators i.e. for 8625,1298 is 1

LCM of denominators i.e. for 460,3853 is 1772380.

Thus, GCF of Fractions is 1/1772380.Finally, GCF of Fractions for 8625/460, 1298/3853 is 1/1772380.