How to Find GCF of 15/130, 64/689, 547/739?

GCF of 15/130, 64/689, 547/739

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 15/130, 64/689, 547/739 i.e 1/5091710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 15/130, 64/689, 547/739.

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 15/130,64/689,547/739?

Given fractions are 15/130,64/689,547/739

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 15/130,64/689,547/739, numerators are 15,64,547

Denominators are 130,689,739

The GCF of 15,64,547 is 1 .

LCM of 130,689,739 is 5091710.

The greatest common factor of 15/130,64/689,547/739 = [GCF of 15,64,547]/[LCM of 130,689,739]= 1/5091710

Therefore, the GCF of 15/130,64/689,547/739 is 1/5091710.

Greatest Common Factor of 15,64,547

To find the highest common factor of 15,64,547, we have to find the factors of both numbers and list the highest common factor.

The factors of 15 are 1, 3, 5, 15

The factors of 64 are 1, 2, 4, 8, 16, 32, 64

The factors of 547 are 1, 547

The HCF of 15,64,547 is 1.

Lets's calculate GCF of 15,64,547

Greatest Common Factor (GCF) of 15,64,547 By Common Division

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

Greatest Common Factor of 15,64,547 By Matching Biggest Common Factor Method

Now, list down the factors of 15

1,3,5,15

Now, list down the factors of 64

1,2,4,8,16,32,64

Now, list down the factors of 547

1,547

Greatest Common Factor

We found the factors 15,64,547 . The biggest common factor number is the GCF number.
So the greatest common factor 15,64,547 is 1.

Lets's calculate LCM of 130,689,739

Lowest Common Multiple of 130,689,739 using Common Division

13	130, 689, 739
	10, 53, 739

∴ So the LCM of the given numbers is 13 x 10 x 53 x 739 = 5091710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5091710

Therefore, the GCF of Fractions 15/130,64/689,547/739 is 1/5091710

Least Common Multiple of 130,689,739 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 130,689,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(130,689,739) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(130,689,739) x common factors =1 x 13 = 13

LCM(130,689,739) = ( 130 × 689 × 739 ) / 13

LCM(130,689,739) = 66192230 / 13

LCM(130,689,739) = 5091710

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 15/130, 64/689, 547/739

1. What is the HCF of 15,64,547?

The HCF of 15,64,547 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 15/130, 64/689, 547/739?

Answer: GCF of Numerators as per given numbers 15/130, 64/689, 547/739 is

GCF of Numerators i.e. for 15,64,547 is 1

LCM of denominators i.e. for 130,689,739 is 5091710.

Thus, GCF of Fractions is 1/5091710.Finally, GCF of Fractions for 15/130, 64/689, 547/739 is 1/5091710.