How to Find GCF of 935/38, 391/3539?

GCF of 935/38, 391/3539

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 935/38, 391/3539 i.e 17/134482 easily. The following is the detailed procedure to determine the greatest common factor of fractions 935/38, 391/3539.

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 935/38,391/3539?

Given fractions are 935/38,391/3539

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 935/38,391/3539, numerators are 935,391

Denominators are 38,3539

The GCF of 935,391 is 17 .

LCM of 38,3539 is 134482.

The greatest common factor of 935/38,391/3539 = [GCF of 935,391]/[LCM of 38,3539]= 17/134482

Therefore, the GCF of 935/38,391/3539 is 17/134482.

Greatest Common Factor of 935,391

To find the highest common factor of 935,391, we have to find the factors of both numbers and list the highest common factor.

The factors of 935 are 1, 5, 11, 17, 55, 85, 187, 935

The factors of 391 are 1, 17, 23, 391

The HCF of 935,391 is 17.

Lets's calculate GCF of 935,391

Greatest Common Factor (GCF) of 935,391 By Common Division

17	935, 391
	55, 23

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 935,391 By Matching Biggest Common Factor Method

Now, list down the factors of 935

1,5,11,17,55,85,187,935

Now, list down the factors of 391

1,17,23,391

Greatest Common Factor

We found the factors 935,391 . The biggest common factor number is the GCF number.
So the greatest common factor 935,391 is 17.

Lets's calculate LCM of 38,3539

Lowest Common Multiple of 38,3539 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 134482

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/134482

Therefore, the GCF of Fractions 935/38,391/3539 is 17/134482

Least Common Multiple of 38,3539 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 38,3539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,3539) = 1

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

GCF(38,3539) x common factors =1 x 1 = 1

LCM(38,3539) = ( 38 × 3539 ) / 1

LCM(38,3539) = 134482 / 1

LCM(38,3539) = 134482

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FAQs on GCF of Fractions of 935/38, 391/3539

1. What is the HCF of 935,391?

The HCF of 935,391 is 17

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 935/38, 391/3539?

Answer: GCF of Numerators as per given numbers 935/38, 391/3539 is

GCF of Numerators i.e. for 935,391 is 17

LCM of denominators i.e. for 38,3539 is 134482.

Thus, GCF of Fractions is 17/134482.Finally, GCF of Fractions for 935/38, 391/3539 is 17/134482.