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GCF of 3037/753, 4826/2472

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 3037/753, 4826/2472 i.e 1/620472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3037/753, 4826/2472.

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 3037/753,4826/2472?

Given fractions are 3037/753,4826/2472

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 3037/753,4826/2472, numerators are 3037,4826

Denominators are 753,2472

The GCF of 3037,4826 is 1 .

LCM of 753,2472 is 620472.

The greatest common factor of 3037/753,4826/2472 = [GCF of 3037,4826]/[LCM of 753,2472]= 1/620472

Therefore, the GCF of 3037/753,4826/2472 is 1/620472.

Greatest Common Factor of 3037,4826

To find the highest common factor of 3037,4826, we have to find the factors of both numbers and list the highest common factor.

The factors of 3037 are 1, 3037

The factors of 4826 are 1, 2, 19, 38, 127, 254, 2413, 4826

The HCF of 3037,4826 is 1.

Lets's calculate GCF of 3037,4826

Greatest Common Factor (GCF) of 3037,4826 By Common Division

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

Greatest Common Factor of 3037,4826 By Matching Biggest Common Factor Method

Greatest Common Factor of 3037,4826 By Matching Biggest Common Factor Method

Now, list down the factors of 3037

:

1,3037

Now, list down the factors of 4826

:

1,2,19,38,127,254,2413,4826

Greatest Common Factor

We found the factors 3037,4826 . The biggest common factor number is the GCF number.
So the greatest common factor 3037,4826 is 1.

Lets's calculate LCM of 753,2472

Lowest Common Multiple of 753,2472 using Common Division

3 753, 2472
251, 824

∴ So the LCM of the given numbers is 3 x 251 x 824 = 620472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/620472

Therefore, the GCF of Fractions 3037/753,4826/2472 is 1/620472

Least Common Multiple of 753,2472 with GCF Formula

Least Common Multiple of 753,2472 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 753,2472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(753,2472) = 3

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

GCF(753,2472) x common factors =3 x 1 = 3

LCM(753,2472) = ( 753 × 2472 ) / 3

LCM(753,2472) = 1861416 / 3

LCM(753,2472) = 620472


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3037/753, 4826/2472

1. What is the HCF of 3037,4826?

The HCF of 3037,4826 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 3037/753, 4826/2472?

Answer: GCF of Numerators as per given numbers 3037/753, 4826/2472 is

GCF of Numerators i.e. for 3037,4826 is 1

LCM of denominators i.e. for 753,2472 is 620472.

Thus, GCF of Fractions is 1/620472.Finally, GCF of Fractions for 3037/753, 4826/2472 is 1/620472.