How to Find GCF of 1355/398, 9313/8205?

GCF of 1355/398, 9313/8205

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 1355/398, 9313/8205 i.e 1/3265590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1355/398, 9313/8205.

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 1355/398,9313/8205?

Given fractions are 1355/398,9313/8205

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 1355/398,9313/8205, numerators are 1355,9313

Denominators are 398,8205

The GCF of 1355,9313 is 1 .

LCM of 398,8205 is 3265590.

The greatest common factor of 1355/398,9313/8205 = [GCF of 1355,9313]/[LCM of 398,8205]= 1/3265590

Therefore, the GCF of 1355/398,9313/8205 is 1/3265590.

Greatest Common Factor of 1355,9313

To find the highest common factor of 1355,9313, we have to find the factors of both numbers and list the highest common factor.

The factors of 1355 are 1, 5, 271, 1355

The factors of 9313 are 1, 67, 139, 9313

The HCF of 1355,9313 is 1.

Lets's calculate GCF of 1355,9313

Greatest Common Factor (GCF) of 1355,9313 By Common Division

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

Greatest Common Factor of 1355,9313 By Matching Biggest Common Factor Method

Now, list down the factors of 1355

1,5,271,1355

Now, list down the factors of 9313

1,67,139,9313

Greatest Common Factor

We found the factors 1355,9313 . The biggest common factor number is the GCF number.
So the greatest common factor 1355,9313 is 1.

Lets's calculate LCM of 398,8205

Lowest Common Multiple of 398,8205 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3265590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3265590

Therefore, the GCF of Fractions 1355/398,9313/8205 is 1/3265590

Least Common Multiple of 398,8205 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 398,8205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,8205) = 1

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

GCF(398,8205) x common factors =1 x 1 = 1

LCM(398,8205) = ( 398 × 8205 ) / 1

LCM(398,8205) = 3265590 / 1

LCM(398,8205) = 3265590

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FAQs on GCF of Fractions of 1355/398, 9313/8205

1. What is the HCF of 1355,9313?

The HCF of 1355,9313 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 1355/398, 9313/8205?

Answer: GCF of Numerators as per given numbers 1355/398, 9313/8205 is

GCF of Numerators i.e. for 1355,9313 is 1

LCM of denominators i.e. for 398,8205 is 3265590.

Thus, GCF of Fractions is 1/3265590.Finally, GCF of Fractions for 1355/398, 9313/8205 is 1/3265590.