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GCF of 534/544, 422/480

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 534/544, 422/480 i.e 2/8160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 534/544, 422/480.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 534/544,422/480?

Given fractions are 534/544,422/480

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 534/544,422/480, numerators are 534,422

Denominators are 544,480

The GCF of 534,422 is 2 .

LCM of 544,480 is 8160.

The greatest common factor of 534/544,422/480 = [GCF of 534,422]/[LCM of 544,480]= 2/8160

Therefore, the GCF of 534/544,422/480 is 2/8160.

Greatest Common Factor of 534,422

To find the highest common factor of 534,422, we have to find the factors of both numbers and list the highest common factor.

The factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534

The factors of 422 are 1, 2, 211, 422

The HCF of 534,422 is 2.

Lets's calculate GCF of 534,422

Greatest Common Factor (GCF) of 534,422 By Common Division

2 534, 422
267, 211

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 534,422 By Matching Biggest Common Factor Method

Greatest Common Factor of 534,422 By Matching Biggest Common Factor Method

Now, list down the factors of 534

:

1,2,3,6,89,178,267,534

Now, list down the factors of 422

:

1,2,211,422

Greatest Common Factor

We found the factors 534,422 . The biggest common factor number is the GCF number.
So the greatest common factor 534,422 is 2.

Lets's calculate LCM of 544,480

Lowest Common Multiple of 544,480 using Common Division

2 544, 480
2 272, 240
2 136, 120
2 68, 60
2 34, 30
17, 15

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 17 x 15 = 8160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8160

Therefore, the GCF of Fractions 534/544,422/480 is 2/8160

Least Common Multiple of 544,480 with GCF Formula

Least Common Multiple of 544,480 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 544,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(544,480) = 32

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

GCF(544,480) x common factors =32 x 1 = 32

LCM(544,480) = ( 544 × 480 ) / 32

LCM(544,480) = 261120 / 32

LCM(544,480) = 8160


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FAQs on GCF of Fractions of 534/544, 422/480

1. What is the HCF of 534,422?

The HCF of 534,422 is 2

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 534/544, 422/480?

Answer: GCF of Numerators as per given numbers 534/544, 422/480 is

GCF of Numerators i.e. for 534,422 is 2

LCM of denominators i.e. for 544,480 is 8160.

Thus, GCF of Fractions is 2/8160.Finally, GCF of Fractions for 534/544, 422/480 is 2/8160.