How to Find GCF of 5511/383, 6349/6814?

GCF of 5511/383, 6349/6814

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 5511/383, 6349/6814 i.e 1/2609762 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5511/383, 6349/6814.

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 5511/383,6349/6814?

Given fractions are 5511/383,6349/6814

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 5511/383,6349/6814, numerators are 5511,6349

Denominators are 383,6814

The GCF of 5511,6349 is 1 .

LCM of 383,6814 is 2609762.

The greatest common factor of 5511/383,6349/6814 = [GCF of 5511,6349]/[LCM of 383,6814]= 1/2609762

Therefore, the GCF of 5511/383,6349/6814 is 1/2609762.

Greatest Common Factor of 5511,6349

To find the highest common factor of 5511,6349, we have to find the factors of both numbers and list the highest common factor.

The factors of 5511 are 1, 3, 11, 33, 167, 501, 1837, 5511

The factors of 6349 are 1, 7, 907, 6349

The HCF of 5511,6349 is 1.

Lets's calculate GCF of 5511,6349

Greatest Common Factor (GCF) of 5511,6349 By Common Division

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

Greatest Common Factor of 5511,6349 By Matching Biggest Common Factor Method

Now, list down the factors of 5511

1,3,11,33,167,501,1837,5511

Now, list down the factors of 6349

1,7,907,6349

Greatest Common Factor

We found the factors 5511,6349 . The biggest common factor number is the GCF number.
So the greatest common factor 5511,6349 is 1.

Lets's calculate LCM of 383,6814

Lowest Common Multiple of 383,6814 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2609762

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2609762

Therefore, the GCF of Fractions 5511/383,6349/6814 is 1/2609762

Least Common Multiple of 383,6814 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 383,6814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(383,6814) = 1

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

GCF(383,6814) x common factors =1 x 1 = 1

LCM(383,6814) = ( 383 × 6814 ) / 1

LCM(383,6814) = 2609762 / 1

LCM(383,6814) = 2609762

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FAQs on GCF of Fractions of 5511/383, 6349/6814

1. What is the HCF of 5511,6349?

The HCF of 5511,6349 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 5511/383, 6349/6814?

Answer: GCF of Numerators as per given numbers 5511/383, 6349/6814 is

GCF of Numerators i.e. for 5511,6349 is 1

LCM of denominators i.e. for 383,6814 is 2609762.

Thus, GCF of Fractions is 1/2609762.Finally, GCF of Fractions for 5511/383, 6349/6814 is 1/2609762.