How to Find GCF of 311/57, 714/28, 758/13?

GCF of 311/57, 714/28, 758/13

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 311/57, 714/28, 758/13 i.e 1/20748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 311/57, 714/28, 758/13.

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 311/57,714/28,758/13?

Given fractions are 311/57,714/28,758/13

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 311/57,714/28,758/13, numerators are 311,714,758

Denominators are 57,28,13

The GCF of 311,714,758 is 1 .

LCM of 57,28,13 is 20748.

The greatest common factor of 311/57,714/28,758/13 = [GCF of 311,714,758]/[LCM of 57,28,13]= 1/20748

Therefore, the GCF of 311/57,714/28,758/13 is 1/20748.

Greatest Common Factor of 311,714,758

To find the highest common factor of 311,714,758, we have to find the factors of both numbers and list the highest common factor.

The factors of 311 are 1, 311

The factors of 714 are 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

The factors of 758 are 1, 2, 379, 758

The HCF of 311,714,758 is 1.

Lets's calculate GCF of 311,714,758

Greatest Common Factor (GCF) of 311,714,758 By Common Division

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

Greatest Common Factor of 311,714,758 By Matching Biggest Common Factor Method

Now, list down the factors of 311

1,311

Now, list down the factors of 714

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Now, list down the factors of 758

1,2,379,758

Greatest Common Factor

We found the factors 311,714,758 . The biggest common factor number is the GCF number.
So the greatest common factor 311,714,758 is 1.

Lets's calculate LCM of 57,28,13

Lowest Common Multiple of 57,28,13 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 20748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20748

Therefore, the GCF of Fractions 311/57,714/28,758/13 is 1/20748

Least Common Multiple of 57,28,13 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 57,28,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,28,13) = 1

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

GCF(57,28,13) x common factors =1 x 1 = 1

LCM(57,28,13) = ( 57 × 28 × 13 ) / 1

LCM(57,28,13) = 20748 / 1

LCM(57,28,13) = 20748

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FAQs on GCF of Fractions of 311/57, 714/28, 758/13

1. What is the HCF of 311,714,758?

The HCF of 311,714,758 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 311/57, 714/28, 758/13?

Answer: GCF of Numerators as per given numbers 311/57, 714/28, 758/13 is

GCF of Numerators i.e. for 311,714,758 is 1

LCM of denominators i.e. for 57,28,13 is 20748.

Thus, GCF of Fractions is 1/20748.Finally, GCF of Fractions for 311/57, 714/28, 758/13 is 1/20748.