How to Find GCF of 5479/287, 7529/2095?

GCF of 5479/287, 7529/2095

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 5479/287, 7529/2095 i.e 1/601265 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5479/287, 7529/2095.

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 5479/287,7529/2095?

Given fractions are 5479/287,7529/2095

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 5479/287,7529/2095, numerators are 5479,7529

Denominators are 287,2095

The GCF of 5479,7529 is 1 .

LCM of 287,2095 is 601265.

The greatest common factor of 5479/287,7529/2095 = [GCF of 5479,7529]/[LCM of 287,2095]= 1/601265

Therefore, the GCF of 5479/287,7529/2095 is 1/601265.

Greatest Common Factor of 5479,7529

To find the highest common factor of 5479,7529, we have to find the factors of both numbers and list the highest common factor.

The factors of 5479 are 1, 5479

The factors of 7529 are 1, 7529

The HCF of 5479,7529 is 1.

Lets's calculate GCF of 5479,7529

Greatest Common Factor (GCF) of 5479,7529 By Common Division

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

Greatest Common Factor of 5479,7529 By Matching Biggest Common Factor Method

Now, list down the factors of 5479

1,5479

Now, list down the factors of 7529

1,7529

Greatest Common Factor

We found the factors 5479,7529 . The biggest common factor number is the GCF number.
So the greatest common factor 5479,7529 is 1.

Lets's calculate LCM of 287,2095

Lowest Common Multiple of 287,2095 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 601265

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/601265

Therefore, the GCF of Fractions 5479/287,7529/2095 is 1/601265

Least Common Multiple of 287,2095 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 287,2095 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(287,2095) = 1

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

GCF(287,2095) x common factors =1 x 1 = 1

LCM(287,2095) = ( 287 × 2095 ) / 1

LCM(287,2095) = 601265 / 1

LCM(287,2095) = 601265

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FAQs on GCF of Fractions of 5479/287, 7529/2095

1. What is the HCF of 5479,7529?

The HCF of 5479,7529 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 5479/287, 7529/2095?

Answer: GCF of Numerators as per given numbers 5479/287, 7529/2095 is

GCF of Numerators i.e. for 5479,7529 is 1

LCM of denominators i.e. for 287,2095 is 601265.

Thus, GCF of Fractions is 1/601265.Finally, GCF of Fractions for 5479/287, 7529/2095 is 1/601265.