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GCF of 303/308, 407/458

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 303/308, 407/458 i.e 1/70532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 303/308, 407/458.

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 303/308,407/458?

Given fractions are 303/308,407/458

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 303/308,407/458, numerators are 303,407

Denominators are 308,458

The GCF of 303,407 is 1 .

LCM of 308,458 is 70532.

The greatest common factor of 303/308,407/458 = [GCF of 303,407]/[LCM of 308,458]= 1/70532

Therefore, the GCF of 303/308,407/458 is 1/70532.

Greatest Common Factor of 303,407

To find the highest common factor of 303,407, we have to find the factors of both numbers and list the highest common factor.

The factors of 303 are 1, 3, 101, 303

The factors of 407 are 1, 11, 37, 407

The HCF of 303,407 is 1.

Lets's calculate GCF of 303,407

Greatest Common Factor (GCF) of 303,407 By Common Division

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

Greatest Common Factor of 303,407 By Matching Biggest Common Factor Method

Greatest Common Factor of 303,407 By Matching Biggest Common Factor Method

Now, list down the factors of 303

:

1,3,101,303

Now, list down the factors of 407

:

1,11,37,407

Greatest Common Factor

We found the factors 303,407 . The biggest common factor number is the GCF number.
So the greatest common factor 303,407 is 1.

Lets's calculate LCM of 308,458

Lowest Common Multiple of 308,458 using Common Division

2 308, 458
154, 229

∴ So the LCM of the given numbers is 2 x 154 x 229 = 70532

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70532

Therefore, the GCF of Fractions 303/308,407/458 is 1/70532

Least Common Multiple of 308,458 with GCF Formula

Least Common Multiple of 308,458 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 308,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,458) = 2

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

GCF(308,458) x common factors =2 x 1 = 2

LCM(308,458) = ( 308 × 458 ) / 2

LCM(308,458) = 141064 / 2

LCM(308,458) = 70532


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 303/308, 407/458

1. What is the HCF of 303,407?

The HCF of 303,407 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 303/308, 407/458?

Answer: GCF of Numerators as per given numbers 303/308, 407/458 is

GCF of Numerators i.e. for 303,407 is 1

LCM of denominators i.e. for 308,458 is 70532.

Thus, GCF of Fractions is 1/70532.Finally, GCF of Fractions for 303/308, 407/458 is 1/70532.