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GCF of 487/30, 722/266

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 487/30, 722/266 i.e 1/3990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 487/30, 722/266.

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 487/30,722/266?

Given fractions are 487/30,722/266

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 487/30,722/266, numerators are 487,722

Denominators are 30,266

The GCF of 487,722 is 1 .

LCM of 30,266 is 3990.

The greatest common factor of 487/30,722/266 = [GCF of 487,722]/[LCM of 30,266]= 1/3990

Therefore, the GCF of 487/30,722/266 is 1/3990.

Greatest Common Factor of 487,722

To find the highest common factor of 487,722, we have to find the factors of both numbers and list the highest common factor.

The factors of 487 are 1, 487

The factors of 722 are 1, 2, 19, 38, 361, 722

The HCF of 487,722 is 1.

Lets's calculate GCF of 487,722

Greatest Common Factor (GCF) of 487,722 By Common Division

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

Greatest Common Factor of 487,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 487,722 By Matching Biggest Common Factor Method

Now, list down the factors of 487

:

1,487

Now, list down the factors of 722

:

1,2,19,38,361,722

Greatest Common Factor

We found the factors 487,722 . The biggest common factor number is the GCF number.
So the greatest common factor 487,722 is 1.

Lets's calculate LCM of 30,266

Lowest Common Multiple of 30,266 using Common Division

2 30, 266
15, 133

∴ So the LCM of the given numbers is 2 x 15 x 133 = 3990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3990

Therefore, the GCF of Fractions 487/30,722/266 is 1/3990

Least Common Multiple of 30,266 with GCF Formula

Least Common Multiple of 30,266 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 30,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,266) = 2

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

GCF(30,266) x common factors =2 x 1 = 2

LCM(30,266) = ( 30 × 266 ) / 2

LCM(30,266) = 7980 / 2

LCM(30,266) = 3990


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FAQs on GCF of Fractions of 487/30, 722/266

1. What is the HCF of 487,722?

The HCF of 487,722 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 487/30, 722/266?

Answer: GCF of Numerators as per given numbers 487/30, 722/266 is

GCF of Numerators i.e. for 487,722 is 1

LCM of denominators i.e. for 30,266 is 3990.

Thus, GCF of Fractions is 1/3990.Finally, GCF of Fractions for 487/30, 722/266 is 1/3990.