How to Find GCF of 367/560, 230/314, 653/820?

GCF of 367/560, 230/314, 653/820

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 367/560, 230/314, 653/820 i.e 1/3604720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 367/560, 230/314, 653/820.

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 367/560,230/314,653/820?

Given fractions are 367/560,230/314,653/820

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 367/560,230/314,653/820, numerators are 367,230,653

Denominators are 560,314,820

The GCF of 367,230,653 is 1 .

LCM of 560,314,820 is 3604720.

The greatest common factor of 367/560,230/314,653/820 = [GCF of 367,230,653]/[LCM of 560,314,820]= 1/3604720

Therefore, the GCF of 367/560,230/314,653/820 is 1/3604720.

Greatest Common Factor of 367,230,653

To find the highest common factor of 367,230,653, we have to find the factors of both numbers and list the highest common factor.

The factors of 367 are 1, 367

The factors of 230 are 1, 2, 5, 10, 23, 46, 115, 230

The factors of 653 are 1, 653

The HCF of 367,230,653 is 1.

Lets's calculate GCF of 367,230,653

Greatest Common Factor (GCF) of 367,230,653 By Common Division

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

Greatest Common Factor of 367,230,653 By Matching Biggest Common Factor Method

Now, list down the factors of 367

1,367

Now, list down the factors of 230

1,2,5,10,23,46,115,230

Now, list down the factors of 653

1,653

Greatest Common Factor

We found the factors 367,230,653 . The biggest common factor number is the GCF number.
So the greatest common factor 367,230,653 is 1.

Lets's calculate LCM of 560,314,820

Lowest Common Multiple of 560,314,820 using Common Division

2	560, 314, 820
2	280, 157, 410
5	140, 157, 205
	28, 157, 41

∴ So the LCM of the given numbers is 2 x 2 x 5 x 28 x 157 x 41 = 3604720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3604720

Therefore, the GCF of Fractions 367/560,230/314,653/820 is 1/3604720

Least Common Multiple of 560,314,820 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 560,314,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,314,820) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(560,314,820) x common factors =2 x 20 = 40

LCM(560,314,820) = ( 560 × 314 × 820 ) / 40

LCM(560,314,820) = 144188800 / 40

LCM(560,314,820) = 3604720

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 367/560, 230/314, 653/820

1. What is the HCF of 367,230,653?

The HCF of 367,230,653 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 367/560, 230/314, 653/820?

Answer: GCF of Numerators as per given numbers 367/560, 230/314, 653/820 is

GCF of Numerators i.e. for 367,230,653 is 1

LCM of denominators i.e. for 560,314,820 is 3604720.

Thus, GCF of Fractions is 1/3604720.Finally, GCF of Fractions for 367/560, 230/314, 653/820 is 1/3604720.