How to Find GCF of 4666/253, 6482/7225?

GCF of 4666/253, 6482/7225

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 4666/253, 6482/7225 i.e 2/1827925 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4666/253, 6482/7225.

Enter two or more fractions separated by "commas"

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

What is the GCF of 4666/253,6482/7225?

Given fractions are 4666/253,6482/7225

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 4666/253,6482/7225, numerators are 4666,6482

Denominators are 253,7225

The GCF of 4666,6482 is 2 .

LCM of 253,7225 is 1827925.

The greatest common factor of 4666/253,6482/7225 = [GCF of 4666,6482]/[LCM of 253,7225]= 2/1827925

Therefore, the GCF of 4666/253,6482/7225 is 2/1827925.

Greatest Common Factor of 4666,6482

To find the highest common factor of 4666,6482, we have to find the factors of both numbers and list the highest common factor.

The factors of 4666 are 1, 2, 2333, 4666

The factors of 6482 are 1, 2, 7, 14, 463, 926, 3241, 6482

The HCF of 4666,6482 is 2.

Lets's calculate GCF of 4666,6482

Greatest Common Factor (GCF) of 4666,6482 By Common Division

2	4666, 6482
	2333, 3241

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4666,6482 By Matching Biggest Common Factor Method

Now, list down the factors of 4666

1,2,2333,4666

Now, list down the factors of 6482

1,2,7,14,463,926,3241,6482

Greatest Common Factor

We found the factors 4666,6482 . The biggest common factor number is the GCF number.
So the greatest common factor 4666,6482 is 2.

Lets's calculate LCM of 253,7225

Lowest Common Multiple of 253,7225 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1827925

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1827925

Therefore, the GCF of Fractions 4666/253,6482/7225 is 2/1827925

Least Common Multiple of 253,7225 with GCF Formula

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

We need to calculate greatest common factor of 253,7225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,7225) = 1

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

GCF(253,7225) x common factors =1 x 1 = 1

LCM(253,7225) = ( 253 × 7225 ) / 1

LCM(253,7225) = 1827925 / 1

LCM(253,7225) = 1827925

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FAQs on GCF of Fractions of 4666/253, 6482/7225

1. What is the HCF of 4666,6482?

The HCF of 4666,6482 is 2

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 4666/253, 6482/7225?

Answer: GCF of Numerators as per given numbers 4666/253, 6482/7225 is

GCF of Numerators i.e. for 4666,6482 is 2

LCM of denominators i.e. for 253,7225 is 1827925.

Thus, GCF of Fractions is 2/1827925.Finally, GCF of Fractions for 4666/253, 6482/7225 is 2/1827925.