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GCF of 303/424, 500/692

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 303/424, 500/692 i.e 1/73352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 303/424, 500/692.

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 303/424,500/692?

Given fractions are 303/424,500/692

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 303/424,500/692, numerators are 303,500

Denominators are 424,692

The GCF of 303,500 is 1 .

LCM of 424,692 is 73352.

The greatest common factor of 303/424,500/692 = [GCF of 303,500]/[LCM of 424,692]= 1/73352

Therefore, the GCF of 303/424,500/692 is 1/73352.

Greatest Common Factor of 303,500

To find the highest common factor of 303,500, 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 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

The HCF of 303,500 is 1.

Lets's calculate GCF of 303,500

Greatest Common Factor (GCF) of 303,500 By Common Division

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

Greatest Common Factor of 303,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 303,500 By Matching Biggest Common Factor Method

Now, list down the factors of 303

:

1,3,101,303

Now, list down the factors of 500

:

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 303,500 . The biggest common factor number is the GCF number.
So the greatest common factor 303,500 is 1.

Lets's calculate LCM of 424,692

Lowest Common Multiple of 424,692 using Common Division

2 424, 692
2 212, 346
106, 173

∴ So the LCM of the given numbers is 2 x 2 x 106 x 173 = 73352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73352

Therefore, the GCF of Fractions 303/424,500/692 is 1/73352

Least Common Multiple of 424,692 with GCF Formula

Least Common Multiple of 424,692 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 424,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(424,692) = 4

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

GCF(424,692) x common factors =4 x 1 = 4

LCM(424,692) = ( 424 × 692 ) / 4

LCM(424,692) = 293408 / 4

LCM(424,692) = 73352


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FAQs on GCF of Fractions of 303/424, 500/692

1. What is the HCF of 303,500?

The HCF of 303,500 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 303/424, 500/692?

Answer: GCF of Numerators as per given numbers 303/424, 500/692 is

GCF of Numerators i.e. for 303,500 is 1

LCM of denominators i.e. for 424,692 is 73352.

Thus, GCF of Fractions is 1/73352.Finally, GCF of Fractions for 303/424, 500/692 is 1/73352.