How to Find GCF of 130/14, 544/31, 503/48?

GCF of 130/14, 544/31, 503/48

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 130/14, 544/31, 503/48 i.e 1/10416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 130/14, 544/31, 503/48.

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 130/14,544/31,503/48?

Given fractions are 130/14,544/31,503/48

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 130/14,544/31,503/48, numerators are 130,544,503

Denominators are 14,31,48

The GCF of 130,544,503 is 1 .

LCM of 14,31,48 is 10416.

The greatest common factor of 130/14,544/31,503/48 = [GCF of 130,544,503]/[LCM of 14,31,48]= 1/10416

Therefore, the GCF of 130/14,544/31,503/48 is 1/10416.

Greatest Common Factor of 130,544,503

To find the highest common factor of 130,544,503, we have to find the factors of both numbers and list the highest common factor.

The factors of 130 are 1, 2, 5, 10, 13, 26, 65, 130

The factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

The factors of 503 are 1, 503

The HCF of 130,544,503 is 1.

Lets's calculate GCF of 130,544,503

Greatest Common Factor (GCF) of 130,544,503 By Common Division

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

Greatest Common Factor of 130,544,503 By Matching Biggest Common Factor Method

Now, list down the factors of 130

1,2,5,10,13,26,65,130

Now, list down the factors of 544

1,2,4,8,16,17,32,34,68,136,272,544

Now, list down the factors of 503

1,503

Greatest Common Factor

We found the factors 130,544,503 . The biggest common factor number is the GCF number.
So the greatest common factor 130,544,503 is 1.

Lets's calculate LCM of 14,31,48

Lowest Common Multiple of 14,31,48 using Common Division

2	14, 31, 48
	7, 31, 24

∴ So the LCM of the given numbers is 2 x 7 x 31 x 24 = 10416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10416

Therefore, the GCF of Fractions 130/14,544/31,503/48 is 1/10416

Least Common Multiple of 14,31,48 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 14,31,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,31,48) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(14,31,48) x common factors =1 x 2 = 2

LCM(14,31,48) = ( 14 × 31 × 48 ) / 2

LCM(14,31,48) = 20832 / 2

LCM(14,31,48) = 10416

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 130/14, 544/31, 503/48

1. What is the HCF of 130,544,503?

The HCF of 130,544,503 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 130/14, 544/31, 503/48?

Answer: GCF of Numerators as per given numbers 130/14, 544/31, 503/48 is

GCF of Numerators i.e. for 130,544,503 is 1

LCM of denominators i.e. for 14,31,48 is 10416.

Thus, GCF of Fractions is 1/10416.Finally, GCF of Fractions for 130/14, 544/31, 503/48 is 1/10416.