How to Find GCF of 8533/287, 7459/7319?

GCF of 8533/287, 7459/7319

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 8533/287, 7459/7319 i.e 1/2100553 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8533/287, 7459/7319.

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 8533/287,7459/7319?

Given fractions are 8533/287,7459/7319

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 8533/287,7459/7319, numerators are 8533,7459

Denominators are 287,7319

The GCF of 8533,7459 is 1 .

LCM of 287,7319 is 2100553.

The greatest common factor of 8533/287,7459/7319 = [GCF of 8533,7459]/[LCM of 287,7319]= 1/2100553

Therefore, the GCF of 8533/287,7459/7319 is 1/2100553.

Greatest Common Factor of 8533,7459

To find the highest common factor of 8533,7459, we have to find the factors of both numbers and list the highest common factor.

The factors of 8533 are 1, 7, 23, 53, 161, 371, 1219, 8533

The factors of 7459 are 1, 7459

The HCF of 8533,7459 is 1.

Lets's calculate GCF of 8533,7459

Greatest Common Factor (GCF) of 8533,7459 By Common Division

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

Greatest Common Factor of 8533,7459 By Matching Biggest Common Factor Method

Now, list down the factors of 8533

1,7,23,53,161,371,1219,8533

Now, list down the factors of 7459

1,7459

Greatest Common Factor

We found the factors 8533,7459 . The biggest common factor number is the GCF number.
So the greatest common factor 8533,7459 is 1.

Lets's calculate LCM of 287,7319

Lowest Common Multiple of 287,7319 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2100553

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2100553

Therefore, the GCF of Fractions 8533/287,7459/7319 is 1/2100553

Least Common Multiple of 287,7319 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 287,7319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(287,7319) = 1

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

GCF(287,7319) x common factors =1 x 1 = 1

LCM(287,7319) = ( 287 × 7319 ) / 1

LCM(287,7319) = 2100553 / 1

LCM(287,7319) = 2100553

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FAQs on GCF of Fractions of 8533/287, 7459/7319

1. What is the HCF of 8533,7459?

The HCF of 8533,7459 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 8533/287, 7459/7319?

Answer: GCF of Numerators as per given numbers 8533/287, 7459/7319 is

GCF of Numerators i.e. for 8533,7459 is 1

LCM of denominators i.e. for 287,7319 is 2100553.

Thus, GCF of Fractions is 1/2100553.Finally, GCF of Fractions for 8533/287, 7459/7319 is 1/2100553.