How to Find GCF of 4738/881, 8757/8544?

GCF of 4738/881, 8757/8544

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 4738/881, 8757/8544 i.e 1/7527264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4738/881, 8757/8544.

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 4738/881,8757/8544?

Given fractions are 4738/881,8757/8544

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 4738/881,8757/8544, numerators are 4738,8757

Denominators are 881,8544

The GCF of 4738,8757 is 1 .

LCM of 881,8544 is 7527264.

The greatest common factor of 4738/881,8757/8544 = [GCF of 4738,8757]/[LCM of 881,8544]= 1/7527264

Therefore, the GCF of 4738/881,8757/8544 is 1/7527264.

Greatest Common Factor of 4738,8757

To find the highest common factor of 4738,8757, we have to find the factors of both numbers and list the highest common factor.

The factors of 4738 are 1, 2, 23, 46, 103, 206, 2369, 4738

The factors of 8757 are 1, 3, 7, 9, 21, 63, 139, 417, 973, 1251, 2919, 8757

The HCF of 4738,8757 is 1.

Lets's calculate GCF of 4738,8757

Greatest Common Factor (GCF) of 4738,8757 By Common Division

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

Greatest Common Factor of 4738,8757 By Matching Biggest Common Factor Method

Now, list down the factors of 4738

1,2,23,46,103,206,2369,4738

Now, list down the factors of 8757

1,3,7,9,21,63,139,417,973,1251,2919,8757

Greatest Common Factor

We found the factors 4738,8757 . The biggest common factor number is the GCF number.
So the greatest common factor 4738,8757 is 1.

Lets's calculate LCM of 881,8544

Lowest Common Multiple of 881,8544 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7527264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7527264

Therefore, the GCF of Fractions 4738/881,8757/8544 is 1/7527264

Least Common Multiple of 881,8544 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 881,8544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(881,8544) = 1

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

GCF(881,8544) x common factors =1 x 1 = 1

LCM(881,8544) = ( 881 × 8544 ) / 1

LCM(881,8544) = 7527264 / 1

LCM(881,8544) = 7527264

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FAQs on GCF of Fractions of 4738/881, 8757/8544

1. What is the HCF of 4738,8757?

The HCF of 4738,8757 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 4738/881, 8757/8544?

Answer: GCF of Numerators as per given numbers 4738/881, 8757/8544 is

GCF of Numerators i.e. for 4738,8757 is 1

LCM of denominators i.e. for 881,8544 is 7527264.

Thus, GCF of Fractions is 1/7527264.Finally, GCF of Fractions for 4738/881, 8757/8544 is 1/7527264.