How to Find GCF of 6295/663, 9334/9452?

GCF of 6295/663, 9334/9452

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 6295/663, 9334/9452 i.e 1/368628 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6295/663, 9334/9452.

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 6295/663,9334/9452?

Given fractions are 6295/663,9334/9452

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 6295/663,9334/9452, numerators are 6295,9334

Denominators are 663,9452

The GCF of 6295,9334 is 1 .

LCM of 663,9452 is 368628.

The greatest common factor of 6295/663,9334/9452 = [GCF of 6295,9334]/[LCM of 663,9452]= 1/368628

Therefore, the GCF of 6295/663,9334/9452 is 1/368628.

Greatest Common Factor of 6295,9334

To find the highest common factor of 6295,9334, we have to find the factors of both numbers and list the highest common factor.

The factors of 6295 are 1, 5, 1259, 6295

The factors of 9334 are 1, 2, 13, 26, 359, 718, 4667, 9334

The HCF of 6295,9334 is 1.

Lets's calculate GCF of 6295,9334

Greatest Common Factor (GCF) of 6295,9334 By Common Division

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

Greatest Common Factor of 6295,9334 By Matching Biggest Common Factor Method

Now, list down the factors of 6295

1,5,1259,6295

Now, list down the factors of 9334

1,2,13,26,359,718,4667,9334

Greatest Common Factor

We found the factors 6295,9334 . The biggest common factor number is the GCF number.
So the greatest common factor 6295,9334 is 1.

Lets's calculate LCM of 663,9452

Lowest Common Multiple of 663,9452 using Common Division

17	663, 9452
	39, 556

∴ So the LCM of the given numbers is 17 x 39 x 556 = 368628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/368628

Therefore, the GCF of Fractions 6295/663,9334/9452 is 1/368628

Least Common Multiple of 663,9452 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 663,9452 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,9452) = 17

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

GCF(663,9452) x common factors =17 x 1 = 17

LCM(663,9452) = ( 663 × 9452 ) / 17

LCM(663,9452) = 6266676 / 17

LCM(663,9452) = 368628

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FAQs on GCF of Fractions of 6295/663, 9334/9452

1. What is the HCF of 6295,9334?

The HCF of 6295,9334 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 6295/663, 9334/9452?

Answer: GCF of Numerators as per given numbers 6295/663, 9334/9452 is

GCF of Numerators i.e. for 6295,9334 is 1

LCM of denominators i.e. for 663,9452 is 368628.

Thus, GCF of Fractions is 1/368628.Finally, GCF of Fractions for 6295/663, 9334/9452 is 1/368628.