How to Find GCF of 8489/857, 1750/4481?

GCF of 8489/857, 1750/4481

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 8489/857, 1750/4481 i.e 1/3840217 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8489/857, 1750/4481.

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 8489/857,1750/4481?

Given fractions are 8489/857,1750/4481

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 8489/857,1750/4481, numerators are 8489,1750

Denominators are 857,4481

The GCF of 8489,1750 is 1 .

LCM of 857,4481 is 3840217.

The greatest common factor of 8489/857,1750/4481 = [GCF of 8489,1750]/[LCM of 857,4481]= 1/3840217

Therefore, the GCF of 8489/857,1750/4481 is 1/3840217.

Greatest Common Factor of 8489,1750

To find the highest common factor of 8489,1750, we have to find the factors of both numbers and list the highest common factor.

The factors of 8489 are 1, 13, 653, 8489

The factors of 1750 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 125, 175, 250, 350, 875, 1750

The HCF of 8489,1750 is 1.

Lets's calculate GCF of 8489,1750

Greatest Common Factor (GCF) of 8489,1750 By Common Division

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

Greatest Common Factor of 8489,1750 By Matching Biggest Common Factor Method

Now, list down the factors of 8489

1,13,653,8489

Now, list down the factors of 1750

1,2,5,7,10,14,25,35,50,70,125,175,250,350,875,1750

Greatest Common Factor

We found the factors 8489,1750 . The biggest common factor number is the GCF number.
So the greatest common factor 8489,1750 is 1.

Lets's calculate LCM of 857,4481

Lowest Common Multiple of 857,4481 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3840217

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3840217

Therefore, the GCF of Fractions 8489/857,1750/4481 is 1/3840217

Least Common Multiple of 857,4481 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 857,4481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(857,4481) = 1

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

GCF(857,4481) x common factors =1 x 1 = 1

LCM(857,4481) = ( 857 × 4481 ) / 1

LCM(857,4481) = 3840217 / 1

LCM(857,4481) = 3840217

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FAQs on GCF of Fractions of 8489/857, 1750/4481

1. What is the HCF of 8489,1750?

The HCF of 8489,1750 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 8489/857, 1750/4481?

Answer: GCF of Numerators as per given numbers 8489/857, 1750/4481 is

GCF of Numerators i.e. for 8489,1750 is 1

LCM of denominators i.e. for 857,4481 is 3840217.

Thus, GCF of Fractions is 1/3840217.Finally, GCF of Fractions for 8489/857, 1750/4481 is 1/3840217.