How to Find GCF of 5474/472, 7359/3079?

GCF of 5474/472, 7359/3079

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 5474/472, 7359/3079 i.e 1/1453288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5474/472, 7359/3079.

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 5474/472,7359/3079?

Given fractions are 5474/472,7359/3079

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 5474/472,7359/3079, numerators are 5474,7359

Denominators are 472,3079

The GCF of 5474,7359 is 1 .

LCM of 472,3079 is 1453288.

The greatest common factor of 5474/472,7359/3079 = [GCF of 5474,7359]/[LCM of 472,3079]= 1/1453288

Therefore, the GCF of 5474/472,7359/3079 is 1/1453288.

Greatest Common Factor of 5474,7359

To find the highest common factor of 5474,7359, we have to find the factors of both numbers and list the highest common factor.

The factors of 5474 are 1, 2, 7, 14, 17, 23, 34, 46, 119, 161, 238, 322, 391, 782, 2737, 5474

The factors of 7359 are 1, 3, 11, 33, 223, 669, 2453, 7359

The HCF of 5474,7359 is 1.

Lets's calculate GCF of 5474,7359

Greatest Common Factor (GCF) of 5474,7359 By Common Division

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

Greatest Common Factor of 5474,7359 By Matching Biggest Common Factor Method

Now, list down the factors of 5474

1,2,7,14,17,23,34,46,119,161,238,322,391,782,2737,5474

Now, list down the factors of 7359

1,3,11,33,223,669,2453,7359

Greatest Common Factor

We found the factors 5474,7359 . The biggest common factor number is the GCF number.
So the greatest common factor 5474,7359 is 1.

Lets's calculate LCM of 472,3079

Lowest Common Multiple of 472,3079 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1453288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1453288

Therefore, the GCF of Fractions 5474/472,7359/3079 is 1/1453288

Least Common Multiple of 472,3079 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 472,3079 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,3079) = 1

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

GCF(472,3079) x common factors =1 x 1 = 1

LCM(472,3079) = ( 472 × 3079 ) / 1

LCM(472,3079) = 1453288 / 1

LCM(472,3079) = 1453288

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FAQs on GCF of Fractions of 5474/472, 7359/3079

1. What is the HCF of 5474,7359?

The HCF of 5474,7359 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 5474/472, 7359/3079?

Answer: GCF of Numerators as per given numbers 5474/472, 7359/3079 is

GCF of Numerators i.e. for 5474,7359 is 1

LCM of denominators i.e. for 472,3079 is 1453288.

Thus, GCF of Fractions is 1/1453288.Finally, GCF of Fractions for 5474/472, 7359/3079 is 1/1453288.