How to Find GCF of 14/730, 440/519, 113/528?

GCF of 14/730, 440/519, 113/528

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 14/730, 440/519, 113/528 i.e 1/33340560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/730, 440/519, 113/528.

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 14/730,440/519,113/528?

Given fractions are 14/730,440/519,113/528

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 14/730,440/519,113/528, numerators are 14,440,113

Denominators are 730,519,528

The GCF of 14,440,113 is 1 .

LCM of 730,519,528 is 33340560.

The greatest common factor of 14/730,440/519,113/528 = [GCF of 14,440,113]/[LCM of 730,519,528]= 1/33340560

Therefore, the GCF of 14/730,440/519,113/528 is 1/33340560.

Greatest Common Factor of 14,440,113

To find the highest common factor of 14,440,113, we have to find the factors of both numbers and list the highest common factor.

The factors of 14 are 1, 2, 7, 14

The factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

The factors of 113 are 1, 113

The HCF of 14,440,113 is 1.

Lets's calculate GCF of 14,440,113

Greatest Common Factor (GCF) of 14,440,113 By Common Division

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

Greatest Common Factor of 14,440,113 By Matching Biggest Common Factor Method

Now, list down the factors of 14

1,2,7,14

Now, list down the factors of 440

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Now, list down the factors of 113

1,113

Greatest Common Factor

We found the factors 14,440,113 . The biggest common factor number is the GCF number.
So the greatest common factor 14,440,113 is 1.

Lets's calculate LCM of 730,519,528

Lowest Common Multiple of 730,519,528 using Common Division

2	730, 519, 528
3	365, 519, 264
	365, 173, 88

∴ So the LCM of the given numbers is 2 x 3 x 365 x 173 x 88 = 33340560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33340560

Therefore, the GCF of Fractions 14/730,440/519,113/528 is 1/33340560

Least Common Multiple of 730,519,528 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 730,519,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(730,519,528) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(730,519,528) x common factors =1 x 6 = 6

LCM(730,519,528) = ( 730 × 519 × 528 ) / 6

LCM(730,519,528) = 200043360 / 6

LCM(730,519,528) = 33340560

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 14/730, 440/519, 113/528

1. What is the HCF of 14,440,113?

The HCF of 14,440,113 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 14/730, 440/519, 113/528?

Answer: GCF of Numerators as per given numbers 14/730, 440/519, 113/528 is

GCF of Numerators i.e. for 14,440,113 is 1

LCM of denominators i.e. for 730,519,528 is 33340560.

Thus, GCF of Fractions is 1/33340560.Finally, GCF of Fractions for 14/730, 440/519, 113/528 is 1/33340560.