How to Find GCF of 8281/762, 4765/7652?

GCF of 8281/762, 4765/7652

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 8281/762, 4765/7652 i.e 1/2915412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8281/762, 4765/7652.

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 8281/762,4765/7652?

Given fractions are 8281/762,4765/7652

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 8281/762,4765/7652, numerators are 8281,4765

Denominators are 762,7652

The GCF of 8281,4765 is 1 .

LCM of 762,7652 is 2915412.

The greatest common factor of 8281/762,4765/7652 = [GCF of 8281,4765]/[LCM of 762,7652]= 1/2915412

Therefore, the GCF of 8281/762,4765/7652 is 1/2915412.

Greatest Common Factor of 8281,4765

To find the highest common factor of 8281,4765, we have to find the factors of both numbers and list the highest common factor.

The factors of 8281 are 1, 7, 13, 49, 91, 169, 637, 1183, 8281

The factors of 4765 are 1, 5, 953, 4765

The HCF of 8281,4765 is 1.

Lets's calculate GCF of 8281,4765

Greatest Common Factor (GCF) of 8281,4765 By Common Division

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

Greatest Common Factor of 8281,4765 By Matching Biggest Common Factor Method

Now, list down the factors of 8281

1,7,13,49,91,169,637,1183,8281

Now, list down the factors of 4765

1,5,953,4765

Greatest Common Factor

We found the factors 8281,4765 . The biggest common factor number is the GCF number.
So the greatest common factor 8281,4765 is 1.

Lets's calculate LCM of 762,7652

Lowest Common Multiple of 762,7652 using Common Division

2	762, 7652
	381, 3826

∴ So the LCM of the given numbers is 2 x 381 x 3826 = 2915412

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2915412

Therefore, the GCF of Fractions 8281/762,4765/7652 is 1/2915412

Least Common Multiple of 762,7652 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 762,7652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,7652) = 2

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

GCF(762,7652) x common factors =2 x 1 = 2

LCM(762,7652) = ( 762 × 7652 ) / 2

LCM(762,7652) = 5830824 / 2

LCM(762,7652) = 2915412

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FAQs on GCF of Fractions of 8281/762, 4765/7652

1. What is the HCF of 8281,4765?

The HCF of 8281,4765 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 8281/762, 4765/7652?

Answer: GCF of Numerators as per given numbers 8281/762, 4765/7652 is

GCF of Numerators i.e. for 8281,4765 is 1

LCM of denominators i.e. for 762,7652 is 2915412.

Thus, GCF of Fractions is 1/2915412.Finally, GCF of Fractions for 8281/762, 4765/7652 is 1/2915412.