How to Find GCF of 379/53, 281/85, 730/28?

GCF of 379/53, 281/85, 730/28

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 379/53, 281/85, 730/28 i.e 1/126140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 379/53, 281/85, 730/28.

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 379/53,281/85,730/28?

Given fractions are 379/53,281/85,730/28

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 379/53,281/85,730/28, numerators are 379,281,730

Denominators are 53,85,28

The GCF of 379,281,730 is 1 .

LCM of 53,85,28 is 126140.

The greatest common factor of 379/53,281/85,730/28 = [GCF of 379,281,730]/[LCM of 53,85,28]= 1/126140

Therefore, the GCF of 379/53,281/85,730/28 is 1/126140.

Greatest Common Factor of 379,281,730

To find the highest common factor of 379,281,730, we have to find the factors of both numbers and list the highest common factor.

The factors of 379 are 1, 379

The factors of 281 are 1, 281

The factors of 730 are 1, 2, 5, 10, 73, 146, 365, 730

The HCF of 379,281,730 is 1.

Lets's calculate GCF of 379,281,730

Greatest Common Factor (GCF) of 379,281,730 By Common Division

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

Greatest Common Factor of 379,281,730 By Matching Biggest Common Factor Method

Now, list down the factors of 379

1,379

Now, list down the factors of 281

1,281

Now, list down the factors of 730

1,2,5,10,73,146,365,730

Greatest Common Factor

We found the factors 379,281,730 . The biggest common factor number is the GCF number.
So the greatest common factor 379,281,730 is 1.

Lets's calculate LCM of 53,85,28

Lowest Common Multiple of 53,85,28 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 126140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126140

Therefore, the GCF of Fractions 379/53,281/85,730/28 is 1/126140

Least Common Multiple of 53,85,28 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 53,85,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,85,28) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(53,85,28) x common factors =1 x 1 = 1

LCM(53,85,28) = ( 53 × 85 × 28 ) / 1

LCM(53,85,28) = 126140 / 1

LCM(53,85,28) = 126140

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 379/53, 281/85, 730/28

1. What is the HCF of 379,281,730?

The HCF of 379,281,730 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 379/53, 281/85, 730/28?

Answer: GCF of Numerators as per given numbers 379/53, 281/85, 730/28 is

GCF of Numerators i.e. for 379,281,730 is 1

LCM of denominators i.e. for 53,85,28 is 126140.

Thus, GCF of Fractions is 1/126140.Finally, GCF of Fractions for 379/53, 281/85, 730/28 is 1/126140.