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GCF of 4469/531, 8609/871

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 4469/531, 8609/871 i.e 1/462501 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4469/531, 8609/871.

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 4469/531,8609/871?

Given fractions are 4469/531,8609/871

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 4469/531,8609/871, numerators are 4469,8609

Denominators are 531,871

The GCF of 4469,8609 is 1 .

LCM of 531,871 is 462501.

The greatest common factor of 4469/531,8609/871 = [GCF of 4469,8609]/[LCM of 531,871]= 1/462501

Therefore, the GCF of 4469/531,8609/871 is 1/462501.

Greatest Common Factor of 4469,8609

To find the highest common factor of 4469,8609, we have to find the factors of both numbers and list the highest common factor.

The factors of 4469 are 1, 41, 109, 4469

The factors of 8609 are 1, 8609

The HCF of 4469,8609 is 1.

Lets's calculate GCF of 4469,8609

Greatest Common Factor (GCF) of 4469,8609 By Common Division

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

Greatest Common Factor of 4469,8609 By Matching Biggest Common Factor Method

Greatest Common Factor of 4469,8609 By Matching Biggest Common Factor Method

Now, list down the factors of 4469

:

1,41,109,4469

Now, list down the factors of 8609

:

1,8609

Greatest Common Factor

We found the factors 4469,8609 . The biggest common factor number is the GCF number.
So the greatest common factor 4469,8609 is 1.

Lets's calculate LCM of 531,871

Lowest Common Multiple of 531,871 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 462501

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/462501

Therefore, the GCF of Fractions 4469/531,8609/871 is 1/462501

Least Common Multiple of 531,871 with GCF Formula

Least Common Multiple of 531,871 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 531,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(531,871) = 1

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

GCF(531,871) x common factors =1 x 1 = 1

LCM(531,871) = ( 531 × 871 ) / 1

LCM(531,871) = 462501 / 1

LCM(531,871) = 462501


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FAQs on GCF of Fractions of 4469/531, 8609/871

1. What is the HCF of 4469,8609?

The HCF of 4469,8609 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 4469/531, 8609/871?

Answer: GCF of Numerators as per given numbers 4469/531, 8609/871 is

GCF of Numerators i.e. for 4469,8609 is 1

LCM of denominators i.e. for 531,871 is 462501.

Thus, GCF of Fractions is 1/462501.Finally, GCF of Fractions for 4469/531, 8609/871 is 1/462501.