How to Find GCF of 6649/547, 1523/3848?

GCF of 6649/547, 1523/3848

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 6649/547, 1523/3848 i.e 1/2104856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6649/547, 1523/3848.

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 6649/547,1523/3848?

Given fractions are 6649/547,1523/3848

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 6649/547,1523/3848, numerators are 6649,1523

Denominators are 547,3848

The GCF of 6649,1523 is 1 .

LCM of 547,3848 is 2104856.

The greatest common factor of 6649/547,1523/3848 = [GCF of 6649,1523]/[LCM of 547,3848]= 1/2104856

Therefore, the GCF of 6649/547,1523/3848 is 1/2104856.

Greatest Common Factor of 6649,1523

To find the highest common factor of 6649,1523, we have to find the factors of both numbers and list the highest common factor.

The factors of 6649 are 1, 61, 109, 6649

The factors of 1523 are 1, 1523

The HCF of 6649,1523 is 1.

Lets's calculate GCF of 6649,1523

Greatest Common Factor (GCF) of 6649,1523 By Common Division

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

Greatest Common Factor of 6649,1523 By Matching Biggest Common Factor Method

Now, list down the factors of 6649

1,61,109,6649

Now, list down the factors of 1523

1,1523

Greatest Common Factor

We found the factors 6649,1523 . The biggest common factor number is the GCF number.
So the greatest common factor 6649,1523 is 1.

Lets's calculate LCM of 547,3848

Lowest Common Multiple of 547,3848 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2104856

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2104856

Therefore, the GCF of Fractions 6649/547,1523/3848 is 1/2104856

Least Common Multiple of 547,3848 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 547,3848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(547,3848) = 1

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

GCF(547,3848) x common factors =1 x 1 = 1

LCM(547,3848) = ( 547 × 3848 ) / 1

LCM(547,3848) = 2104856 / 1

LCM(547,3848) = 2104856

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 6649/547, 1523/3848

1. What is the HCF of 6649,1523?

The HCF of 6649,1523 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 6649/547, 1523/3848?

Answer: GCF of Numerators as per given numbers 6649/547, 1523/3848 is

GCF of Numerators i.e. for 6649,1523 is 1

LCM of denominators i.e. for 547,3848 is 2104856.

Thus, GCF of Fractions is 1/2104856.Finally, GCF of Fractions for 6649/547, 1523/3848 is 1/2104856.