How to Find GCF of 3733/657, 5693/2248?

GCF of 3733/657, 5693/2248

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 3733/657, 5693/2248 i.e 1/1476936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3733/657, 5693/2248.

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 3733/657,5693/2248?

Given fractions are 3733/657,5693/2248

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 3733/657,5693/2248, numerators are 3733,5693

Denominators are 657,2248

The GCF of 3733,5693 is 1 .

LCM of 657,2248 is 1476936.

The greatest common factor of 3733/657,5693/2248 = [GCF of 3733,5693]/[LCM of 657,2248]= 1/1476936

Therefore, the GCF of 3733/657,5693/2248 is 1/1476936.

Greatest Common Factor of 3733,5693

To find the highest common factor of 3733,5693, we have to find the factors of both numbers and list the highest common factor.

The factors of 3733 are 1, 3733

The factors of 5693 are 1, 5693

The HCF of 3733,5693 is 1.

Lets's calculate GCF of 3733,5693

Greatest Common Factor (GCF) of 3733,5693 By Common Division

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

Greatest Common Factor of 3733,5693 By Matching Biggest Common Factor Method

Now, list down the factors of 3733

1,3733

Now, list down the factors of 5693

1,5693

Greatest Common Factor

We found the factors 3733,5693 . The biggest common factor number is the GCF number.
So the greatest common factor 3733,5693 is 1.

Lets's calculate LCM of 657,2248

Lowest Common Multiple of 657,2248 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1476936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1476936

Therefore, the GCF of Fractions 3733/657,5693/2248 is 1/1476936

Least Common Multiple of 657,2248 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 657,2248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(657,2248) = 1

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

GCF(657,2248) x common factors =1 x 1 = 1

LCM(657,2248) = ( 657 × 2248 ) / 1

LCM(657,2248) = 1476936 / 1

LCM(657,2248) = 1476936

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FAQs on GCF of Fractions of 3733/657, 5693/2248

1. What is the HCF of 3733,5693?

The HCF of 3733,5693 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 3733/657, 5693/2248?

Answer: GCF of Numerators as per given numbers 3733/657, 5693/2248 is

GCF of Numerators i.e. for 3733,5693 is 1

LCM of denominators i.e. for 657,2248 is 1476936.

Thus, GCF of Fractions is 1/1476936.Finally, GCF of Fractions for 3733/657, 5693/2248 is 1/1476936.