How to Find GCF of 1479/117, 5447/7585?

GCF of 1479/117, 5447/7585

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 1479/117, 5447/7585 i.e 1/887445 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1479/117, 5447/7585.

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 1479/117,5447/7585?

Given fractions are 1479/117,5447/7585

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 1479/117,5447/7585, numerators are 1479,5447

Denominators are 117,7585

The GCF of 1479,5447 is 1 .

LCM of 117,7585 is 887445.

The greatest common factor of 1479/117,5447/7585 = [GCF of 1479,5447]/[LCM of 117,7585]= 1/887445

Therefore, the GCF of 1479/117,5447/7585 is 1/887445.

Greatest Common Factor of 1479,5447

To find the highest common factor of 1479,5447, we have to find the factors of both numbers and list the highest common factor.

The factors of 1479 are 1, 3, 17, 29, 51, 87, 493, 1479

The factors of 5447 are 1, 13, 419, 5447

The HCF of 1479,5447 is 1.

Lets's calculate GCF of 1479,5447

Greatest Common Factor (GCF) of 1479,5447 By Common Division

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

Greatest Common Factor of 1479,5447 By Matching Biggest Common Factor Method

Now, list down the factors of 1479

1,3,17,29,51,87,493,1479

Now, list down the factors of 5447

1,13,419,5447

Greatest Common Factor

We found the factors 1479,5447 . The biggest common factor number is the GCF number.
So the greatest common factor 1479,5447 is 1.

Lets's calculate LCM of 117,7585

Lowest Common Multiple of 117,7585 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 887445

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/887445

Therefore, the GCF of Fractions 1479/117,5447/7585 is 1/887445

Least Common Multiple of 117,7585 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 117,7585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(117,7585) = 1

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

GCF(117,7585) x common factors =1 x 1 = 1

LCM(117,7585) = ( 117 × 7585 ) / 1

LCM(117,7585) = 887445 / 1

LCM(117,7585) = 887445

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FAQs on GCF of Fractions of 1479/117, 5447/7585

1. What is the HCF of 1479,5447?

The HCF of 1479,5447 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 1479/117, 5447/7585?

Answer: GCF of Numerators as per given numbers 1479/117, 5447/7585 is

GCF of Numerators i.e. for 1479,5447 is 1

LCM of denominators i.e. for 117,7585 is 887445.

Thus, GCF of Fractions is 1/887445.Finally, GCF of Fractions for 1479/117, 5447/7585 is 1/887445.