How to Find GCF of 8873/265, 4834/5041?

GCF of 8873/265, 4834/5041

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 8873/265, 4834/5041 i.e 1/1335865 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8873/265, 4834/5041.

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 8873/265,4834/5041?

Given fractions are 8873/265,4834/5041

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 8873/265,4834/5041, numerators are 8873,4834

Denominators are 265,5041

The GCF of 8873,4834 is 1 .

LCM of 265,5041 is 1335865.

The greatest common factor of 8873/265,4834/5041 = [GCF of 8873,4834]/[LCM of 265,5041]= 1/1335865

Therefore, the GCF of 8873/265,4834/5041 is 1/1335865.

Greatest Common Factor of 8873,4834

To find the highest common factor of 8873,4834, we have to find the factors of both numbers and list the highest common factor.

The factors of 8873 are 1, 19, 467, 8873

The factors of 4834 are 1, 2, 2417, 4834

The HCF of 8873,4834 is 1.

Lets's calculate GCF of 8873,4834

Greatest Common Factor (GCF) of 8873,4834 By Common Division

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

Greatest Common Factor of 8873,4834 By Matching Biggest Common Factor Method

Now, list down the factors of 8873

1,19,467,8873

Now, list down the factors of 4834

1,2,2417,4834

Greatest Common Factor

We found the factors 8873,4834 . The biggest common factor number is the GCF number.
So the greatest common factor 8873,4834 is 1.

Lets's calculate LCM of 265,5041

Lowest Common Multiple of 265,5041 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1335865

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1335865

Therefore, the GCF of Fractions 8873/265,4834/5041 is 1/1335865

Least Common Multiple of 265,5041 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 265,5041 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(265,5041) = 1

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

GCF(265,5041) x common factors =1 x 1 = 1

LCM(265,5041) = ( 265 × 5041 ) / 1

LCM(265,5041) = 1335865 / 1

LCM(265,5041) = 1335865

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FAQs on GCF of Fractions of 8873/265, 4834/5041

1. What is the HCF of 8873,4834?

The HCF of 8873,4834 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 8873/265, 4834/5041?

Answer: GCF of Numerators as per given numbers 8873/265, 4834/5041 is

GCF of Numerators i.e. for 8873,4834 is 1

LCM of denominators i.e. for 265,5041 is 1335865.

Thus, GCF of Fractions is 1/1335865.Finally, GCF of Fractions for 8873/265, 4834/5041 is 1/1335865.