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GCF of 6332/603, 3119/1446

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 6332/603, 3119/1446 i.e 1/290646 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6332/603, 3119/1446.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 6332/603,3119/1446?

Given fractions are 6332/603,3119/1446

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 6332/603,3119/1446, numerators are 6332,3119

Denominators are 603,1446

The GCF of 6332,3119 is 1 .

LCM of 603,1446 is 290646.

The greatest common factor of 6332/603,3119/1446 = [GCF of 6332,3119]/[LCM of 603,1446]= 1/290646

Therefore, the GCF of 6332/603,3119/1446 is 1/290646.

Greatest Common Factor of 6332,3119

To find the highest common factor of 6332,3119, we have to find the factors of both numbers and list the highest common factor.

The factors of 6332 are 1, 2, 4, 1583, 3166, 6332

The factors of 3119 are 1, 3119

The HCF of 6332,3119 is 1.

Lets's calculate GCF of 6332,3119

Greatest Common Factor (GCF) of 6332,3119 By Common Division

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

Greatest Common Factor of 6332,3119 By Matching Biggest Common Factor Method

Greatest Common Factor of 6332,3119 By Matching Biggest Common Factor Method

Now, list down the factors of 6332

:

1,2,4,1583,3166,6332

Now, list down the factors of 3119

:

1,3119

Greatest Common Factor

We found the factors 6332,3119 . The biggest common factor number is the GCF number.
So the greatest common factor 6332,3119 is 1.

Lets's calculate LCM of 603,1446

Lowest Common Multiple of 603,1446 using Common Division

3 603, 1446
201, 482

∴ So the LCM of the given numbers is 3 x 201 x 482 = 290646

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/290646

Therefore, the GCF of Fractions 6332/603,3119/1446 is 1/290646

Least Common Multiple of 603,1446 with GCF Formula

Least Common Multiple of 603,1446 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 603,1446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(603,1446) = 3

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

GCF(603,1446) x common factors =3 x 1 = 3

LCM(603,1446) = ( 603 × 1446 ) / 3

LCM(603,1446) = 871938 / 3

LCM(603,1446) = 290646


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6332/603, 3119/1446

1. What is the HCF of 6332,3119?

The HCF of 6332,3119 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 6332/603, 3119/1446?

Answer: GCF of Numerators as per given numbers 6332/603, 3119/1446 is

GCF of Numerators i.e. for 6332,3119 is 1

LCM of denominators i.e. for 603,1446 is 290646.

Thus, GCF of Fractions is 1/290646.Finally, GCF of Fractions for 6332/603, 3119/1446 is 1/290646.