How to Find GCF of 30/260, 78/694, 467/453?

GCF of 30/260, 78/694, 467/453

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 30/260, 78/694, 467/453 i.e 1/40869660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/260, 78/694, 467/453.

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 30/260,78/694,467/453?

Given fractions are 30/260,78/694,467/453

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 30/260,78/694,467/453, numerators are 30,78,467

Denominators are 260,694,453

The GCF of 30,78,467 is 1 .

LCM of 260,694,453 is 40869660.

The greatest common factor of 30/260,78/694,467/453 = [GCF of 30,78,467]/[LCM of 260,694,453]= 1/40869660

Therefore, the GCF of 30/260,78/694,467/453 is 1/40869660.

Greatest Common Factor of 30,78,467

To find the highest common factor of 30,78,467, we have to find the factors of both numbers and list the highest common factor.

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30

The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78

The factors of 467 are 1, 467

The HCF of 30,78,467 is 1.

Lets's calculate GCF of 30,78,467

Greatest Common Factor (GCF) of 30,78,467 By Common Division

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

Greatest Common Factor of 30,78,467 By Matching Biggest Common Factor Method

Now, list down the factors of 30

1,2,3,5,6,10,15,30

Now, list down the factors of 78

1,2,3,6,13,26,39,78

Now, list down the factors of 467

1,467

Greatest Common Factor

We found the factors 30,78,467 . The biggest common factor number is the GCF number.
So the greatest common factor 30,78,467 is 1.

Lets's calculate LCM of 260,694,453

Lowest Common Multiple of 260,694,453 using Common Division

2	260, 694, 453
	130, 347, 453

∴ So the LCM of the given numbers is 2 x 130 x 347 x 453 = 40869660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40869660

Therefore, the GCF of Fractions 30/260,78/694,467/453 is 1/40869660

Least Common Multiple of 260,694,453 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 260,694,453 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,694,453) = 1

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

GCF(260,694,453) x common factors =1 x 2 = 2

LCM(260,694,453) = ( 260 × 694 × 453 ) / 2

LCM(260,694,453) = 81739320 / 2

LCM(260,694,453) = 40869660

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 30/260, 78/694, 467/453

1. What is the HCF of 30,78,467?

The HCF of 30,78,467 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 30/260, 78/694, 467/453?

Answer: GCF of Numerators as per given numbers 30/260, 78/694, 467/453 is

GCF of Numerators i.e. for 30,78,467 is 1

LCM of denominators i.e. for 260,694,453 is 40869660.

Thus, GCF of Fractions is 1/40869660.Finally, GCF of Fractions for 30/260, 78/694, 467/453 is 1/40869660.