How to Find GCF of 3453/871, 5657/4761?

GCF of 3453/871, 5657/4761

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 3453/871, 5657/4761 i.e 1/4146831 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3453/871, 5657/4761.

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 3453/871,5657/4761?

Given fractions are 3453/871,5657/4761

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 3453/871,5657/4761, numerators are 3453,5657

Denominators are 871,4761

The GCF of 3453,5657 is 1 .

LCM of 871,4761 is 4146831.

The greatest common factor of 3453/871,5657/4761 = [GCF of 3453,5657]/[LCM of 871,4761]= 1/4146831

Therefore, the GCF of 3453/871,5657/4761 is 1/4146831.

Greatest Common Factor of 3453,5657

To find the highest common factor of 3453,5657, we have to find the factors of both numbers and list the highest common factor.

The factors of 3453 are 1, 3, 1151, 3453

The factors of 5657 are 1, 5657

The HCF of 3453,5657 is 1.

Lets's calculate GCF of 3453,5657

Greatest Common Factor (GCF) of 3453,5657 By Common Division

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

Greatest Common Factor of 3453,5657 By Matching Biggest Common Factor Method

Now, list down the factors of 3453

1,3,1151,3453

Now, list down the factors of 5657

1,5657

Greatest Common Factor

We found the factors 3453,5657 . The biggest common factor number is the GCF number.
So the greatest common factor 3453,5657 is 1.

Lets's calculate LCM of 871,4761

Lowest Common Multiple of 871,4761 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4146831

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4146831

Therefore, the GCF of Fractions 3453/871,5657/4761 is 1/4146831

Least Common Multiple of 871,4761 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 871,4761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(871,4761) = 1

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

GCF(871,4761) x common factors =1 x 1 = 1

LCM(871,4761) = ( 871 × 4761 ) / 1

LCM(871,4761) = 4146831 / 1

LCM(871,4761) = 4146831

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FAQs on GCF of Fractions of 3453/871, 5657/4761

1. What is the HCF of 3453,5657?

The HCF of 3453,5657 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 3453/871, 5657/4761?

Answer: GCF of Numerators as per given numbers 3453/871, 5657/4761 is

GCF of Numerators i.e. for 3453,5657 is 1

LCM of denominators i.e. for 871,4761 is 4146831.

Thus, GCF of Fractions is 1/4146831.Finally, GCF of Fractions for 3453/871, 5657/4761 is 1/4146831.