How to Find GCF of 9341/362, 6133/6117?

GCF of 9341/362, 6133/6117

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 9341/362, 6133/6117 i.e 1/2214354 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9341/362, 6133/6117.

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 9341/362,6133/6117?

Given fractions are 9341/362,6133/6117

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 9341/362,6133/6117, numerators are 9341,6133

Denominators are 362,6117

The GCF of 9341,6133 is 1 .

LCM of 362,6117 is 2214354.

The greatest common factor of 9341/362,6133/6117 = [GCF of 9341,6133]/[LCM of 362,6117]= 1/2214354

Therefore, the GCF of 9341/362,6133/6117 is 1/2214354.

Greatest Common Factor of 9341,6133

To find the highest common factor of 9341,6133, we have to find the factors of both numbers and list the highest common factor.

The factors of 9341 are 1, 9341

The factors of 6133 are 1, 6133

The HCF of 9341,6133 is 1.

Lets's calculate GCF of 9341,6133

Greatest Common Factor (GCF) of 9341,6133 By Common Division

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

Greatest Common Factor of 9341,6133 By Matching Biggest Common Factor Method

Now, list down the factors of 9341

1,9341

Now, list down the factors of 6133

1,6133

Greatest Common Factor

We found the factors 9341,6133 . The biggest common factor number is the GCF number.
So the greatest common factor 9341,6133 is 1.

Lets's calculate LCM of 362,6117

Lowest Common Multiple of 362,6117 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2214354

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2214354

Therefore, the GCF of Fractions 9341/362,6133/6117 is 1/2214354

Least Common Multiple of 362,6117 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 362,6117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,6117) = 1

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

GCF(362,6117) x common factors =1 x 1 = 1

LCM(362,6117) = ( 362 × 6117 ) / 1

LCM(362,6117) = 2214354 / 1

LCM(362,6117) = 2214354

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FAQs on GCF of Fractions of 9341/362, 6133/6117

1. What is the HCF of 9341,6133?

The HCF of 9341,6133 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 9341/362, 6133/6117?

Answer: GCF of Numerators as per given numbers 9341/362, 6133/6117 is

GCF of Numerators i.e. for 9341,6133 is 1

LCM of denominators i.e. for 362,6117 is 2214354.

Thus, GCF of Fractions is 1/2214354.Finally, GCF of Fractions for 9341/362, 6133/6117 is 1/2214354.