How to Find GCF of 1447/524, 5334/6160?

GCF of 1447/524, 5334/6160

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 1447/524, 5334/6160 i.e 1/806960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1447/524, 5334/6160.

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 1447/524,5334/6160?

Given fractions are 1447/524,5334/6160

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 1447/524,5334/6160, numerators are 1447,5334

Denominators are 524,6160

The GCF of 1447,5334 is 1 .

LCM of 524,6160 is 806960.

The greatest common factor of 1447/524,5334/6160 = [GCF of 1447,5334]/[LCM of 524,6160]= 1/806960

Therefore, the GCF of 1447/524,5334/6160 is 1/806960.

Greatest Common Factor of 1447,5334

To find the highest common factor of 1447,5334, we have to find the factors of both numbers and list the highest common factor.

The factors of 1447 are 1, 1447

The factors of 5334 are 1, 2, 3, 6, 7, 14, 21, 42, 127, 254, 381, 762, 889, 1778, 2667, 5334

The HCF of 1447,5334 is 1.

Lets's calculate GCF of 1447,5334

Greatest Common Factor (GCF) of 1447,5334 By Common Division

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

Greatest Common Factor of 1447,5334 By Matching Biggest Common Factor Method

Now, list down the factors of 1447

1,1447

Now, list down the factors of 5334

1,2,3,6,7,14,21,42,127,254,381,762,889,1778,2667,5334

Greatest Common Factor

We found the factors 1447,5334 . The biggest common factor number is the GCF number.
So the greatest common factor 1447,5334 is 1.

Lets's calculate LCM of 524,6160

Lowest Common Multiple of 524,6160 using Common Division

2	524, 6160
2	262, 3080
	131, 1540

∴ So the LCM of the given numbers is 2 x 2 x 131 x 1540 = 806960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/806960

Therefore, the GCF of Fractions 1447/524,5334/6160 is 1/806960

Least Common Multiple of 524,6160 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 524,6160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(524,6160) = 4

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

GCF(524,6160) x common factors =4 x 1 = 4

LCM(524,6160) = ( 524 × 6160 ) / 4

LCM(524,6160) = 3227840 / 4

LCM(524,6160) = 806960

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FAQs on GCF of Fractions of 1447/524, 5334/6160

1. What is the HCF of 1447,5334?

The HCF of 1447,5334 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 1447/524, 5334/6160?

Answer: GCF of Numerators as per given numbers 1447/524, 5334/6160 is

GCF of Numerators i.e. for 1447,5334 is 1

LCM of denominators i.e. for 524,6160 is 806960.

Thus, GCF of Fractions is 1/806960.Finally, GCF of Fractions for 1447/524, 5334/6160 is 1/806960.