How to Find GCF of 8839/773, 6314/4010?

GCF of 8839/773, 6314/4010

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 8839/773, 6314/4010 i.e 1/3099730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8839/773, 6314/4010.

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 8839/773,6314/4010?

Given fractions are 8839/773,6314/4010

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 8839/773,6314/4010, numerators are 8839,6314

Denominators are 773,4010

The GCF of 8839,6314 is 1 .

LCM of 773,4010 is 3099730.

The greatest common factor of 8839/773,6314/4010 = [GCF of 8839,6314]/[LCM of 773,4010]= 1/3099730

Therefore, the GCF of 8839/773,6314/4010 is 1/3099730.

Greatest Common Factor of 8839,6314

To find the highest common factor of 8839,6314, we have to find the factors of both numbers and list the highest common factor.

The factors of 8839 are 1, 8839

The factors of 6314 are 1, 2, 7, 11, 14, 22, 41, 77, 82, 154, 287, 451, 574, 902, 3157, 6314

The HCF of 8839,6314 is 1.

Lets's calculate GCF of 8839,6314

Greatest Common Factor (GCF) of 8839,6314 By Common Division

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

Greatest Common Factor of 8839,6314 By Matching Biggest Common Factor Method

Now, list down the factors of 8839

1,8839

Now, list down the factors of 6314

1,2,7,11,14,22,41,77,82,154,287,451,574,902,3157,6314

Greatest Common Factor

We found the factors 8839,6314 . The biggest common factor number is the GCF number.
So the greatest common factor 8839,6314 is 1.

Lets's calculate LCM of 773,4010

Lowest Common Multiple of 773,4010 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3099730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3099730

Therefore, the GCF of Fractions 8839/773,6314/4010 is 1/3099730

Least Common Multiple of 773,4010 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 773,4010 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(773,4010) = 1

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

GCF(773,4010) x common factors =1 x 1 = 1

LCM(773,4010) = ( 773 × 4010 ) / 1

LCM(773,4010) = 3099730 / 1

LCM(773,4010) = 3099730

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FAQs on GCF of Fractions of 8839/773, 6314/4010

1. What is the HCF of 8839,6314?

The HCF of 8839,6314 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 8839/773, 6314/4010?

Answer: GCF of Numerators as per given numbers 8839/773, 6314/4010 is

GCF of Numerators i.e. for 8839,6314 is 1

LCM of denominators i.e. for 773,4010 is 3099730.

Thus, GCF of Fractions is 1/3099730.Finally, GCF of Fractions for 8839/773, 6314/4010 is 1/3099730.